Physics · NEET, JEE Main

Atoms & Nuclei

239 practice questions with a worked solution for each. Tap an option to see instantly if you are right.

190MCQ49Numerical11With diagram
Start with question 1 Revise Modern Physics firstSee it move: Atoms: Rutherford, Bohr and X-raysSee it move: Nuclear physics: binding energy and radioactivity
  1. 1The energy of an electron in the ground state of hydrogen atom is −13.6 eV-13.6\,\text{eV}. In the first excited state (n=2n=2), its energy is:NEET/MCQ/Medium
  2. 2Nuclear force between two nucleons is:NEET/MCQ/Medium
  3. 3Given below are two statements : one is labelled as Assertion (A) and the other is labelled as Reason (R).
    Assertion (A) : Emission of electrons in photoelectric effect can be suppressed by applying a sufficiently negative electron potential to the photoemissive substance.
    Reason (R) : A negative electric potential, which stops the emission of electrons from the surface of a photoemissive substance, varies linearly with frequency of incident radiation.
    In the light of the above statements, choose the most appropriate answer from the options given below :    JEE Main/MCQ/Medium/Atomic Models
  4. 4The mass defect in a particular reaction is 0.4g0.4g. The amount of energy liberated is n×107kWhn\times {10}^{7}kWh, where n=n= _____. (speed of light =3×108ms−1=3\times {10}^{8}m{s}^{-1})JEE Main/Numerical/Medium/Atomic Models
  5. 5Given below are two statements:
    Statement I: Most of the mass of the atom and all its positive charge are concentrated in a tiny nucleus and the electrons revolve around it, is Rutherford's model.
    Statement II: An atom is a spherical cloud of positive charges with electrons embedded in it, is a special case of Rutherford's model.
    In the light of the above statements, choose the most appropriate from the options given below.    JEE Main/MCQ/Medium/Atomic Models
  6. 6In Rutherford's alpha-particle scattering experiment, only a few alpha particles rebound back because
    A. The size of gold nucleus is very small as compared to the size of gold atom.
    B. Alpha particle and gold nucleus have equal charge.
    C. The impact parameter is minimum for a few alpha particles.
    D. A few alpha particles have very high kinetic energy.
    E. Only a few alpha particles undergo head-on collision with the nuclei.
    Choose the correct answer from the options given below:    JEE Main/MCQ/Medium/Atomic Structure
  7. 7If an alpha particle with energy 7.7 MeV is bombarded on a thin gold foil, the closest distance from nucleus it can reach is ____\_\_\_\_ m. (Atomic number of gold =79=79 and 14πϵo=9×109\frac{1}{4 \pi \epsilon_{\mathrm{o}}}=9 \times 10^{9} in SI units)JEE Main/MCQ/Medium/Atomic Structure
  8. 8Given below are two statements: one is labelled as Assertion A and the other is labelled as
    Reason R.
    Assertion A: The Bohr model is applicable to hydrogen and hydrogen-like atoms only.
    Reason R : The formulation of Bohr model does not include repulsive force between electrons.
    In the light of the above statements, choose the correct answer from the options given below :    JEE Main/MCQ/Medium/Atomic Structure
  9. 9Considering Bohr's atomic model for hydrogen atom :
    (A) the energy of H atom in ground state is same as energy of     He+\mathrm{He}^{+}ion in its first excited state.
    (B) the energy of H atom in ground state is same as that for     Li++\mathrm{Li}^{++}ion in its second excited state.
    (C) the energy of H atom in its ground state is same as that of     He+\mathrm{He}^{+}ion for its ground state.
    (D) the energy of     He+\mathrm{He}^{+}ion in its first excited state is same as that for Li++\mathrm{Li}^{++}ion in its ground state
    Choose the correct answer from the options given below :    JEE Main/MCQ/Medium/Atomic Structure
  10. 10In an alpha particle scattering experiment distance of closest approach for the α\alpha particle is 4.5×10−14 m4.5 \times 10^{-14} \mathrm{~m}. If target nucleus has atomic number 80 , then maximum velocity of α\alpha - particle is _______ ×105 m/s\times 10^5 \mathrm{~m} / \mathrm{s} approximately.
    (14πϵ0=9×109\left(\frac{1}{4 \pi \epsilon_0}=9 \times 10^9\right. SI unit, mass of α\alpha particle =6.72×10−27 kg)\left.=6.72 \times 10^{-27} \mathrm{~kg}\right)    JEE Main/Numerical/Medium/Atomic Structure
  11. 11Read the following statements:
    (A) Volume of the nucleus is directly proportional to the mass number.
    (B) Volume of the nucleus is independent of mass number.
    (C) Density of the nucleus is directly proportional to the mass number.
    (D) Density of the nucleus is directly proportional to the cube root of the mass number.
    (E) Density of the nucleus is independent of the mass number.
    Choose the correct option from the following options.    JEE Main/MCQ/Medium/Atomic Structure
  12. 12xx+4\dfrac{x}{x+4} is the ratio of energies of photons produced due to transition of an electron of hydrogen atom from its
    (i) third permitted energy level to the second level and
    (ii) the highest permitted energy level to the second permitted level.
    The value of     xx will be    JEE Main/Numerical/Medium/Atomic Structure
  13. 13Hydrogen atom from excited state comes to the ground by emitting a photon of wavelength λ\lambda. The value of principal quantum number nn of the excited state will be :
    (     R:R: Rydberg constant)    JEE Main/MCQ/Medium/Atomic Structure
  14. 14d1\sqrt{{d}_{1}} and d2\sqrt{{d}_{2}} are the impact parameters corresponding to scattering angles 60∘60^{\circ} and 90∘90^{\circ} respectively, when an α\alpha particle is approaching a gold nucleus. For d1=xd2{d}_{1}=x{d}_{2}, the value of xx will be _____ .JEE Main/Numerical/Medium/Atomic Structure
  15. 15Choose the correct option from the following options given below :JEE Main/MCQ/Medium/Atomic Structure
  16. 16In Bohr's atomic model, the electron is assumed to revolve in a circular orbit of radius 0.5A∘.0.5A^{^{\circ}}. If the speed of electron is 2.2×106ms−1.2.2\times {10}^{6}m{s}^{-1}. Then the current associated with the electron will be__________ ×10−2mA.\times {10}^{-2}mA. [Take π\pi as 227]\left.\dfrac{22}{7}\right]JEE Main/Numerical/Medium/Atomic Structure
  17. 17Imagine that the electron in a hydrogen atom is replaced by a muon (μ).\left(\mu \right). The mass of muon particle is 207207 times that of an electron and charge is equal to the charge of an electron. The ionization potential of this hydrogen atom will be:-JEE Main/MCQ/Medium/Atomic Structure
  18. 18A particle of mass mm moves in a circular orbit in a central potential field U(r)=U0r4.U(r)={U}_{0}{r}^{4}. If Bohr's quantization conditions are applied, radii of possible orbitals rn{r}_{n} vary with n1α{n}^{\dfrac{1}{\alpha }}, where α\alpha is _______ .JEE Main/Numerical/Medium/Atomic Structure
  19. 19The recoil speed of a hydrogen atom after it emits a photon in going from n=5n=5 state to n=5n=5 state will beJEE Main/MCQ/Medium/Atomic Structure
  20. 20Muon (μ−1)\left(\mu^{-1}\right) is negatively charged (∣q∣=∣e∣)(|\mathrm{q}|=|\mathrm{e}|) with a mass mμ=200 me\mathrm{m}_\mu=200 \mathrm{~m}_{\mathrm{e}}, where me\mathrm{m}_{\mathrm{e}} is the mass of the electron and e is the electronic charge. If μ−1\mu^{-1} is bound to a proton to form a hydrogen like atom, identify the correct statements
    (A) Radius of the muonic orbit is 200 times smaller than that of the electron
    (B) the speed of the     μ−1\mu^{-1} in the nnth orbit is 1200\frac{1}{200} times that of the election in the nth orbit
    (C) The lonization energy of muonic atom is 200 times more than that of an hydrogen atom
    (D) The momentum of the muon in the nth orbit is 200 times more than that of the electron    JEE Main/MCQ/Medium/Atomic Structure
  21. 21A neutron moving with a speed 'v' makes a head on collision with a stationary hydrogen atom in ground state. The minimum kinetic energy of the neutron for which perfactly inelastic collision will take place is :JEE Main/MCQ/Medium/Atomic Structure
  22. 22If one were to apply the Bohr model to a particle of mass ′m′'m' and charge ′q′'q' moving in a plane under the influence of a magnetic field 'B', the energy of the charged particle in the nth{n}^{th} level will be:JEE Main/MCQ/Medium/Atomic Structure
  23. 23A 12.5eV12.5 \mathrm{eV} electron beam is used to bombard gaseous hydrogen at room temperature. It will emit:JEE Main/MCQ/Medium/Atomic Structure
  24. 24In the Rutherford experiment, α\alpha-particles are scattered from a nucleus as shown. Out of the four paths, which path is not possible?
    JEE Main/MCQ/Medium/Atomic Structure/With diagram
  25. 25An alpha nucleus of energy 12mv2\frac{1}{2} m v^2 bombards a heavy nuclear target of charge Ze. Then the distance of closest approach for the alpha nucleus will be proportional toJEE Main/MCQ/Medium/Atomic Structure
  26. 26The manifestation of band structure in solids is due toJEE Main/MCQ/Medium/Atomic Structure
  27. 27The ratio of momentum of the photons of the 1st1^{st} and 2nd2^{nd} line of Balmer series of Hydrogen atoms is α/β\alpha/\beta. The possible values of α\alpha and β\beta are:-JEE Main/MCQ/Medium/Bohr's Atomic Model
  28. 28In the hydrogen atom, the electron makes a transition from the higher orbit (ii) to a lower orbit (ff). The ratio of the radius of the orbits in given by ri:rf=16:4r_i : r_f = 16 : 4. The wavelength of photon emitted due to this transition is _____ nm.
    (Given Rydberg constant     =1.0973×107= 1.0973 \times 10^7 /m)    JEE Main/MCQ/Medium/Bohr's Atomic Model
  29. 29Using Bohr's model, calculate the ratio of the magnetic fields generated due to the motion of the electrons in the 2nd2^{\text{nd}} and 4th4^{\text{th}} orbits of hydrogen atom _______.JEE Main/Numerical/Medium/Bohr's Atomic Model
  30. 30Angular momentum of an electron in a hydrogen atom is 3hπ\dfrac{3h}{\pi}, then the energy of the electron is _______ eV.JEE Main/MCQ/Medium/Bohr's Atomic Model
  31. 31Two electrons are moving in orbits of two hydrogen like atoms with speeds 3×105 m/s3 \times 10^{5} \mathrm{~m} / \mathrm{s} and 2.5×105 m/s2.5 \times 10^{5} \mathrm{~m} / \mathrm{s} respectively. If the radii of these orbits are nearly same then the possible order of energy states are ____\_\_\_\_ respectively.JEE Main/MCQ/Medium/Bohr's Atomic Model
  32. 32The energy of an electron in an orbit of the Bohr's atom is −0.04E0eV-0.04 E_{0} \mathrm{eV} where E0E_{0} is the ground state energy. If LL is the angular momentum of the electron in this orbit and hh is the Planck's constant, then 2πLh\frac{2 \pi L}{h} is ____\_\_\_\_ :JEE Main/MCQ/Medium/Bohr's Atomic Model
  33. 33In a hydrogen like ion, the energy difference between the 2nd 2^{\text {nd }} excitation energy state and ground is 108.8 eV. The atomic number of the ion isJEE Main/MCQ/Medium/Bohr's Atomic Model
  34. 34Considering the Bohr model of hydrogen like atoms, the ratio of the ratio of the radius 5th 5^{\text {th }} orbit of the electron in Li2+\mathrm{Li}^{2+} and He+\mathrm{He}^{+}isJEE Main/MCQ/Medium/Bohr's Atomic Model
  35. 35An electron in the hydrogen atom initially in the fourth excited state makes a transition to nth \mathrm{n}^{\text {th }} energy state by emitting a photon of energy 2.86 eV. The integer value of nn will be ____.JEE Main/Numerical/Medium/Bohr's Atomic Model
  36. 36Assuming the validity of Bohr's atomic model for hydrogen like ions the radius of Li++\mathrm{Li}^{++}ion in its ground state is given by 1Xa0\frac{1}{X} a_0, where X=X= _______. (Where a0\mathrm{a}_0 is the first Bohr's radius.)JEE Main/MCQ/Medium/Bohr's Atomic Model
  37. 37The frequency of revolution of the electron in Bohr's orbit varies with nn, the principal quantum number asJEE Main/MCQ/Medium/Bohr's Atomic Model
  38. 38Radius of a certain orbit of hydrogen atom is 8.48A~…8.48 Ã…. If energy of electron in this orbit is E/xE / x. then x=x= _____
    (Given     a0=0.529A~…,E=\mathrm{a}_0=0.529 Ã…, E= energy of electron in ground state).    JEE Main/Numerical/Medium/Bohr's Atomic Model
  39. 39The angular momentum of an electron in a hydrogen atom is proportional to :
    (Where     rr is the radius of orbit of electron)    JEE Main/MCQ/Medium/Bohr's Atomic Model
  40. 40An electron rotates in a circle around a nucleus having positive charge Ze. Correct relation between total energy (E) of electron to its potential energy (U) is :JEE Main/MCQ/Medium/Bohr's Atomic Model
  41. 41According to Bohr's theory, the moment of momentum of an electron revolving in 4th 4^{\text {th }} orbit of hydrogen atom is:JEE Main/MCQ/Medium/Bohr's Atomic Model
  42. 42An electron revolving in nth{n}^{\text{th}} Bohr orbit has magnetic moment μn{\mu }_{n}. If μn∝nx{\mu }_{n}\propto {n}^{x}, the value of xx is:JEE Main/MCQ/Medium/Bohr's Atomic Model
  43. 43The ratio of the magnitude of the kinetic energy to the potential energy of an electron in the 5th{5}^{\text{th}} excited state of a hydrogen atom is :JEE Main/MCQ/Medium/Bohr's Atomic Model
  44. 44The radius of third stationary orbit of electron for Bohr's atom is RR. The radius of fourth stationary orbit will be:JEE Main/MCQ/Medium/Bohr's Atomic Model
  45. 45An atom absorbs a photon of wavelength 500nm500nm and emits another photon of wavelength 600nm600nm. The net energy absorbed by the atom in this process is n×10−4eVn\times {10}^{-4}eV. The value ofnnis [Assume the atom to be stationary during the absorption and emission process] (Take h=6.6×10−34Jsh=6.6\times {10}^{-34}Js andc=3×108ms−1and c=3×108 m s-1 ).JEE Main/Numerical/Medium/Bohr's Atomic Model
  46. 46The radius of 2nd{2}^{nd} orbit of He+{He}^{+} of Bohr's model is r1{r}_{1} and that of fourth orbit of Be3+{Be}^{3+} is represented as r2.{r}_{2}. Now the ratio r2r1\dfrac{{r}_{2}}{{r}_{1}} is x:1.x:1. The value of xx is _____.JEE Main/Numerical/Medium/Bohr's Atomic Model
  47. 47A 12.5eV12.5eV electron beam is used to bombard gaseous hydrogen at room temperature. The number of spectral lines emitted will be:JEE Main/MCQ/Medium/Bohr's Atomic Model
  48. 48The energy of He+{He}^{+} ion in its first state is, (The ground state energy for the Hydrogen atom−13.6eV-13.6eV):JEE Main/MCQ/Medium/Bohr's Atomic Model
  49. 49The angular momentum for the electron in Bohr’s orbit is LL. If the electron is assumed to revolve in second orbit of hydrogen atom, then the change in angular momentum will beJEE Main/MCQ/Medium/Bohr's Atomic Model
  50. 50The radius of fifth orbit of Li++{Li}^{++} is_______\times {10}^{-12}m. Take: radius of hydrogen atom=0.51A∘=0.51A^{^{\circ}}JEE Main/Numerical/Medium/Bohr's Atomic Model
  51. 51Nucleus a having Z=17Z=17 and equal number of protons and neutrons has 1.2MeV1.2MeV binding energy per nucleon. Another nucleus BB of Z=12Z=12 has total 2626 nucleons and 1.8MeV1.8MeV binding energy per nucleons. The difference of binding energy of BB and AA will be ______ MeVMeV.JEE Main/Numerical/Medium/Bohr's Atomic Model
  52. 52An electron of a hydrogen like atom, having Z=4Z=4, jumps from 4th{4}^{th} energy state to 2nd{2}^{nd} energy state, The energy released in this process, will be: (Given Rch=13.6eVRch=13.6eV)
    Where     R=R= Rydberg
    constant     c=c=Speed of light in vacuum
    h=h= Planck's constant    JEE Main/MCQ/Medium/Bohr's Atomic Model
  53. 53A light of energy 12.75eV12.75eV is incident on a hydrogen atom in its ground state. The atom absorbs the radiation and reaches to one of its excited states. The angular momentum of the atom in the excited state is xπ×10−17eVs\dfrac{x}{\pi }\times {10}^{-17}eVs. The value of xx is ______ (use h=4.14×10–15eVs,c=3×108ms–1h=4.14\times {10}^{–15}eVs,c=3\times {10}^{8}m{s}^{–1})JEE Main/Numerical/Medium/Bohr's Atomic Model
  54. 54The mass of proton, neutron and helium nucleus are respectively 1.0073u,1.0087uand4.0015u1.0073u,1.0087uand4.0015u. The binding energy of helium nucleus is:JEE Main/MCQ/Medium/Bohr's Atomic Model
  55. 55The radius of electron's second stationary orbit in Bohr's atom is RR. The radius of 3rd{3}^{rd} orbit will beJEE Main/MCQ/Medium/Bohr's Atomic Model
  56. 56For hydrogen atom, λ1{\lambda }_{1} and λ2{\lambda }_{2} are the wavelengths corresponding to the transitions 11 and 22 respectively as shown in figure. The ratio of λ1{\lambda }_{1} and λ2{\lambda }_{2} is x32\dfrac{x}{32}. The value of xx is ______.
    JEE Main/Numerical/Medium/Bohr's Atomic Model/With diagram
  57. 57Speed of an electron in Bohr’s 7th{7}^{th} orbit for Hydrogen atom is 3.6×106ms−13.6\times {10}^{6}m{s}^{-1}. The corresponding speed of the electron in 3rd{3}^{rd} orbit, in ms−1m{s}^{-1} is :JEE Main/MCQ/Medium/Bohr's Atomic Model
  58. 58The momentum of an electron revolving in nth{n}^{th} orbit is given by : (Symbols have their usual meanings)JEE Main/MCQ/Medium/Bohr's Atomic Model
  59. 59Given below are two statements
    Statement I: In hydrogen atom, the frequency of radiation emitted when an electron jumps from lower energy orbit     (E1)\left({E}_{1}\right) to higher energy orbit (E2)\left({E}_{2}\right), is given as hf=E1−E2hf={E}_{1}-{E}_{2}
    Statement II: The jumping of electron from higher energy orbit     (E2)\left({E}_{2}\right) to lower energy orbit (E1)\left({E}_{1}\right) is associated with frequency of radiation given as f=(E2−E1)hf=\dfrac{\left({E}_{2}-{E}_{1}\right)}{h}. This condition is Bohr's frequency condition.
    In the light of the above statements, choose the correct answer from the options given below:    JEE Main/MCQ/Medium/Bohr's Atomic Model
  60. 60A hydrogen atom in its ground state absorbs 10.2eV10.2eV of energy. The angular momentum of electron of the hydrogen atom will increase by the value of (Given, Planck's constant =6.6×10−34Js=6.6\times {10}^{-34}Js).JEE Main/MCQ/Medium/Bohr's Atomic Model
  61. 61Which of the following figure represents the variation of ln⁡(RR0)\ln \left(\dfrac{R}{{R}_{0}}\right) with ln⁡A\ln A (if R=R= radius of a nucleus and A=A= its mass number)JEE Main/MCQ/Medium/Bohr's Atomic Model
  62. 62The ratio for the speed of the electron in the 3rd{3}^{rd} orbit of He+{He}^{+} to the speed of the electron in the 3rd{3}^{rd} orbit of hydrogen atom will be :JEE Main/MCQ/Medium/Bohr's Atomic Model
  63. 63In Bohr's atomic model of hydrogen, let K,PK,P and EE are the kinetic energy, potential energy and total energy of the electron respectively. Choose the correct option when the electron undergoes transitions to a higher level :JEE Main/MCQ/Medium/Bohr's Atomic Model
  64. 64The Kα{K}_{\alpha } X-ray of molybdenum has wavelength 0.071nm0.071nm. If the energy of a molybdenum atom with a KK electron knocked out is 27.5keV27.5keV, the energy of this atom when an LL electron is knocked out will be keVkeV. (Round off to the nearest integer ) [h=4.14×10−15eVs,c=3×108ms−1]\left[h=4.14\times {10}^{-15}eVs,c=3\times {10}^{8}{ms}^{-1}\right]JEE Main/Numerical/Medium/Bohr's Atomic Model
  65. 65The radiation corresponding to 3→23\rightarrow 2 transition of a hydrogen atom falls on a gold surface to generate photoelectrons. These electrons are passed through a magnetic field of 5×10−4T5\times {10}^{-4}T. Assume that the radius of the largest circular path followed by these electrons is 7mm7mm, the work function of the metal is:
    (Mass of electron     =9.1×10−31kg=9.1\times {10}^{-31}kg)    JEE Main/MCQ/Medium/Bohr's Atomic Model
  66. 66Which level of the single ionized carbon has the same energy as the ground state energy of hydrogen atom?JEE Main/MCQ/Medium/Bohr's Atomic Model
  67. 67If an electron is moving in the nth{n}^{\text{th}} orbit of the hydrogen atom, then its velocity (vn)({v}_{n}) for the nth{n}^{\text{th}} orbit is given as:JEE Main/MCQ/Medium/Bohr's Atomic Model
  68. 68According to Bohr atom model, in which of the following transitions will the frequency be maximum?JEE Main/MCQ/Medium/Bohr's Atomic Model
  69. 69The energy required to ionise a hydrogen like ion in its ground state is 99 Rydbergs. What is the wavelength of the radiation emitted when the electron in this ion jumps from the second excited stale to the ground state?JEE Main/MCQ/Medium/Bohr's Atomic Model
  70. 70The electron in a hydrogen atom first jumps from the third excited state to the second excited state and subsequently to the first excited state. The ratio of the respective wavelengths λ1λ2\dfrac{{\lambda }_{1}}{{\lambda }_{2}} of the photons emitted in this process is:JEE Main/MCQ/Medium/Bohr's Atomic Model
  71. 71An excited He+{He}^{+} ion emits two photons in succession, with wavelengths 108.5nm108.5nm and 30.4nm30.4nm in making a transition to the ground state. The quantum number nn, corresponding to its initial excited state is

    (for a photon of wavelength     λ\lambda, energy E=1240eVλ(innm)E=\dfrac{1240eV}{\lambda (innm)})    JEE Main/MCQ/Medium/Bohr's Atomic Model
  72. 72InLi++L{i}^{++},electron in first Bohr orbit is excited to a level by a radiation of wavelengthλ\lambda.When the ion gets de excited to the ground state in all possible ways (including intermediate emissions), a total of six spectral lines are observed. What is the value of λ\lambda ?

    (Given:     h=6.63×10−34Js;c=3×108ms−1h=6.63\times {10}^{-34}Js;c=3\times {10}^{8}m{s}^{-1} )    JEE Main/MCQ/Medium/Bohr's Atomic Model
  73. 73A He+H{e}^{+} ion is in its first excited state. Its ionization energy is:JEE Main/MCQ/Medium/Bohr's Atomic Model
  74. 74Radiation coming from transitions n=2n=2 to n=1n=1 of hydrogen atoms fall on He+{He}^{+} ions in n=1n=1 and n=2n=2 states. The possible transition of helium ions as they absorb energy from the radiation is:JEE Main/MCQ/Medium/Bohr's Atomic Model
  75. 75In a Frank - Hertz experiment, an electron of energy 5.6eV5.6 eV passes through mercury vapour and emerges with an energy 0.7eV.0.7 eV. The minimum wavelength of photons emitted by mercury atoms is close to:JEE Main/MCQ/Medium/Bohr's Atomic Model
  76. 76A particle of mass mm moves in a circular orbit in a central potential field U(r)=12kr2.U\left(r\right)=\dfrac{1}{2}k{r}^{2}. If Bohr's quantization conditions are applied, radii of possible orbitals and energy levels vary with quantum number nn as:JEE Main/MCQ/Medium/Bohr's Atomic Model
  77. 77In a hydrogen like atom, when an electron jumps from the M-shell to the L-shell, the wavelength of emitted radiation is LL. If an electron jumps from N\mathrm{N} -shell to the L\mathrm{L} -shell, the wavelength of emitted radiation will be:JEE Main/MCQ/Medium/Bohr's Atomic Model
  78. 78A hydrogen atom, initially in the ground state is excited by absorbing a photon of wavelength 980A~…980 Ã…. The radius of the atom in the excited state, in terms of Bohr radius a0a_{0}, will be:JEE Main/MCQ/Medium/Bohr's Atomic Model
  79. 79The energy required to remove the electron from a singly ionized Helium atom is 2.22.2 times the energy required to remove an electron from helium atom. The total energy required to ionize the Helium atom completely is close toJEE Main/MCQ/Medium/Bohr's Atomic Model
  80. 80The energy required to remove the electron from a singly ionized Helium atom is 2.22.2 times the energy required to remove an electron from Helium atom. The total energy required to ionize the Helium atom completely is:JEE Main/MCQ/Medium/Bohr's Atomic Model
  81. 81The acceleration of an electron in the first orbit of the hydrogen atom (n=1n=1) is :JEE Main/MCQ/Medium/Bohr's Atomic Model
  82. 82According to Bohr's theory, the time averaged magnetic field at the centre (i.e., nucleus) of a hydrogen atom due to the motion of electrons in the nth{n}^{th} orbit is proportional to: (n=n= principal quantum number)JEE Main/MCQ/Medium/Bohr's Atomic Model
  83. 83If the binding energy of the electron in a hydrogen atom is 13.6eV13.6eV, the energy required to remove the electron from the first excited state of Li++{Li}^{++} is :JEE Main/MCQ/Medium/Bohr's Atomic Model
  84. 84In the Bohr's model of hydrogen-like atom the force between the nucleus and the electron is modified as F=e24πε0(1r2+βr3)F=\frac{e^2}{4 \pi \varepsilon_0}\left(\frac{1}{r^2}+\frac{\beta}{r^3}\right), where β\beta is a constant. For this atom, the radius of the nth n^{\text {th }} orbit in terms of the Bohr radius (a0=ε0h2mπe2)\left(a_0=\frac{\varepsilon_0 h^2}{m \pi e^2}\right) is :JEE Main/MCQ/Medium/Bohr's Atomic Model
  85. 85Orbits of a particle moving in a circle are such that the perimeter of the orbit equals an integer number of de-Broglie wavelengths of the particle. For a charged particle moving in a plane perpendicular to a magnetic field, the radius of the nth n^{\text {th }} orbital will therefore be proportional to :JEE Main/MCQ/Medium/Bohr's Atomic Model
  86. 86In the Bohr model an electron moves in a circular orbit around the proton. Considering the orbiting electron to be a circular current loop, the magnetic moment of the hydrogen atom, when the electron is in nth n^{\text {th }} excited state, is :JEE Main/MCQ/Medium/Bohr's Atomic Model
  87. 87In a hydrogen like atom electron makes transition from an energy level with quantum number n\text{n} to another with quantum number (n−1)\left(\text{n}-1\right). If n \gt\gt1\text{n \gt \gt 1}, the frequency of radiation emitted is proportional to :JEE Main/MCQ/Medium/Bohr's Atomic Model
  88. 88Which of the plots shown in the figure represents speed (v)(v) of the electron in a hydrogen atom as a function of the principal quantum number (n)(n) ?
    JEE Main/MCQ/Medium/Bohr's Atomic Model/With diagram
  89. 89Ionisation energy of Li (Lithium) atom in ground state is 5.4eV5.4 \mathrm{eV}. Binding energy of an electron in Li+\mathrm{Li}^{+}ion in ground state is 75.6eV75.6 \mathrm{eV}. Energy required to remove all three electrons of Lithium (Li) atom isJEE Main/MCQ/Medium/Bohr's Atomic Model
  90. 90A diatomic molecule is made of two masses m1m_1 and m2m_2 which are separated by a distance rr. If we calculate its rotational energy by applying Bohr's rule of angular momentum quantization, its energy will be given by ( nn is an integer)JEE Main/MCQ/Medium/Bohr's Atomic Model
  91. 91Energy required for the electron excitation in Li++\mathrm{Li}^{++}from the first to the third Bohr orbit is :JEE Main/MCQ/Medium/Bohr's Atomic Model
  92. 92Suppose an electron is attracted towards the origin by a force k/rk / r where ' kk ' is a constant and ' rr ' is the distance of the electron from the origin. By applying Bohr model to this system, the radius of the nth n^{\text {th }} orbital of the electron is found to be ' rnr_n ' and the kinetic energy of the electron to be TnT_n. Then which of the following is true?JEE Main/MCQ/Medium/Bohr's Atomic Model
  93. 93Which of the following transitions in hydrogen atoms emit photons of highest frequency?JEE Main/MCQ/Medium/Bohr's Atomic Model
  94. 94If the binding energy of the electron in a hydrogen atom is 13.6eV13.6 \mathrm{eV}, the energy required to remove the electron from the first excited state of Li++\mathrm{Li}^{++}isJEE Main/MCQ/Medium/Bohr's Atomic Model
  95. 95Which of the following atoms has the lowest ionization potential?JEE Main/MCQ/Medium/Bohr's Atomic Model
  96. 96If 13.6eV13.6 \mathrm{eV} energy is required to ionize the hydrogen atom, then the energy required to remove an electron from n=2n=2 isJEE Main/MCQ/Medium/Bohr's Atomic Model
  97. 97In hydrogen atom spectrum, (R→(R \rightarrow Rydberg's constant )) A. the maximum wavelength of the radiation of Lyman series is 43R\frac{4}{3 R} B. the Balmer series lies in the visible region of the spectrum C. the minimum wavelength of the radiation of Paschen series is 9R\frac{9}{R} D. the minimum wavelength of Lyman series is 54R\frac{5}{4 R} Choose the correct answer from the options given below :JEE Main/MCQ/Medium/Atomic Spectrum
  98. 98The smallest wavelength of Lyman series is 91 nm. The difference between the largest wavelengths of Paschen and Balmer series is nearly ____\_\_\_\_ nm .JEE Main/MCQ/Medium/Atomic Spectrum
  99. 99For a hydrogen atom, the ratio of the largest wavelength of Lyman series to that of the Balmer series is.JEE Main/MCQ/Medium/Atomic Spectrum
  100. 100The number of spectral lines emitted by atomic hydrogen that is in the 4th 4^{\text {th }} energy level, isJEE Main/MCQ/Medium/Atomic Spectrum
  101. 101Arrange the following in the ascending order of wavelength (λ)(\lambda) :
    (A) Microwaves     (λ1)\left(\lambda_1\right)
    (B) Ultraviolet rays     (λ2)\left(\lambda_2\right)
    (C) Infrared rays     (λ3)\left(\lambda_3\right)
    (D) X-rays     (λ4)\left(\lambda_4\right)

    Choose the most appropriate answer from the options given below :    JEE Main/MCQ/Medium/Atomic Spectrum
  102. 102During the transition of electron from state A to state C of a Bohr atom, the wavelength of emitted radiation is 2000A˚2000 Å and it becomes 6000A˚6000 Å when the electron jumps from state B to state C. Then the wavelength of the radiation emitted during the transition of electrons from state A to state B isJEE Main/MCQ/Medium/Atomic Spectrum
  103. 103A hydrogen atom in ground state is given an energy of 10.2eV10.2 \mathrm{eV}. How many spectral lines will be emitted due to transition of electrons?JEE Main/MCQ/Medium/Atomic Spectrum
  104. 104In Franck-Hertz experiment, the first dip in the current-voltage graph for hydrogen is observed at 10.2 V. The wavelength of light emitted by hydrogen atom when excited to the first excitation level is _________ nm\mathrm{nm}. (Given hc=1245eVnm,e=1.6×10−19C\mathrm{hc}=1245 \mathrm{eV} \mathrm{nm}, \mathrm{e}=1.6 \times 10^{-19} \mathrm{C} ).JEE Main/Numerical/Medium/Atomic Spectrum
  105. 105The longest wavelength associated with Paschen series is : (Given RH=1.097×107SI\mathrm{R}_{\mathrm{H}}=1.097 \times 10^7 \mathrm{SI} unit)JEE Main/MCQ/Medium/Atomic Spectrum
  106. 106The ratio of the shortest wavelength of Balmer series to the shortest wavelength of Lyman series for hydrogen atom is :JEE Main/MCQ/Medium/Atomic Spectrum
  107. 107The shortest wavelength of the spectral lines in the Lyman series of hydrogen spectrum is 915A~…915 Ã…. The longest wavelength of spectral lines in the Balmer series will be _____ A~…Ã….JEE Main/Numerical/Medium/Atomic Spectrum
  108. 108A hydrogen atom changes its state from n=3n=3 to n=2n=2. Due to recoil, the percentage change in the wave length of emitted light is approximately 1×10−n1 \times 10^{-n}. The value of nn is_____.
    [Given     Rhc=13.6eV,hc=1242eVnm,h=6.6×10−34 J s\mathrm{Rhc}=13.6 \mathrm{eV}, \mathrm{hc}=1242 \mathrm{eV} \mathrm{nm}, \mathrm{h}=6.6 \times 10^{-34} \mathrm{~J} \mathrm{~s} mass of the hydrogenatom =1.6×10−27 kg=1.6 \times 10^{-27} \mathrm{~kg} ]    JEE Main/Numerical/Medium/Atomic Spectrum
  109. 109A particular hydrogen - like ion emits the radiation of frequency 3×1015Hz3\times {10}^{15}Hz when it makes transition from n=2n=2 to n=1.n=1. The frequency of radiation emitted in transition from n=3n=3 to n=1n=1 is x9×1015Hz,\dfrac{x}{9}\times {10}^{15}Hz, when x=x= _____.JEE Main/Numerical/Medium/Atomic Spectrum
  110. 110The minimum energy required by a hydrogen atom in ground state to emit radiation in Balmer series is nearly :JEE Main/MCQ/Medium/Atomic Spectrum
  111. 111If the wavelength of the first member of Lyman series of hydrogen is λ\lambda. The wavelength of the second member will beJEE Main/MCQ/Medium/Atomic Spectrum
  112. 112An electron of hydrogen atom on an excited state is having energy En=−0.85eV{E}_{n}=-0.85eV. The maximum number of allowed transitions to lower energy level is _______.JEE Main/Numerical/Medium/Atomic Spectrum
  113. 113Hydrogen atom is bombarded with electrons accelerated through a potential different of VV, which causes excitation of hydrogen atoms. If the experiment is being formed at T=0KT=0K. The minimum potential difference needed to observe any Balmer series lines in the emission spectra will be α10V\dfrac{\alpha }{10}V, where α=\alpha =_________.(Write the value to the nearest integer)JEE Main/Numerical/Medium/Atomic Spectrum
  114. 114When a hydrogen atom going from n=2n=2 to n=1n=1 emits a photon, its recoil speed is x5ms−1\dfrac{x}{5}m{s}^{-1}. Where x=x=_______. (Use: mass of hydrogen atom =1.6×10−27kg=1.6\times {10}^{-27}kg, charge of electron e=1.6×10−19C)e=1.6\times {10}^{-19}C)JEE Main/Numerical/Medium/Atomic Spectrum
  115. 115If Rydberg's constant is RR, the longest wavelength of radiation in Paschen series will be α7R\dfrac{\alpha }{7R}, where α=\alpha =______.JEE Main/Numerical/Medium/Atomic Spectrum
  116. 116As per given figure A,BA,B and CC are the first, second and third excited energy levels of hydrogen atom respectively. If the ratio of the two wavelengths(i.e.λ1λ2)\left(i.e.\dfrac{{\lambda }_{1}}{{\lambda }_{2}}\right) is 74n\dfrac{7}{4n}, then the value of nn will be
    JEE Main/Numerical/Medium/Atomic Spectrum/With diagram
  117. 117A monochromatic light is incident on a hydrogen sample in ground state. Hydrogen atoms absorb a fraction of light and subsequently emit radiation of six different wavelengths. The frequency of incident light is x×1015Hzx\times {10}^{15}Hz. The value of x is ________
    (Given     h=4.25×10−15eVsh=4.25\times {10}^{-15}eVs)    JEE Main/Numerical/Medium/Atomic Spectrum
  118. 118If 917A˚917Å be the lowest wavelength of Lyman series then the lowest wavelength of Balmer series will be A˚Å.JEE Main/Numerical/Medium/Atomic Spectrum
  119. 119The ratio of wavelength of spectral lines Hα{H}_{\alpha } and Hβ{H}_{\beta } in the Balmer series is x20\dfrac{x}{20}. The value of xx is _____.JEE Main/Numerical/Medium/Atomic Spectrum
  120. 120The energy levels of an hydrogen atom are shown below. The transition corresponding to emission of shortest wavelength is
    JEE Main/MCQ/Medium/Atomic Spectrum/With diagram
  121. 121The energy levels of an atom is shown is figure.

    Which one of these transitions will result in the emission of a photon of wavelength     124.1nm124.1nm?
    Given (    h=6.62×10–34Jsh=6.62\times {10}^{–34}Js)    JEE Main/MCQ/Medium/Atomic Spectrum/With diagram
  122. 122The wavelength of the radiation emitted is λ0{\lambda }_{0} when an electron jumps from the second excited state to the first excited state of hydrogen atom. If the electron jumps from the third excited state to the second orbit of the hydrogen atom, the wavelength of the radiation emitted will be 20xλ0\dfrac{20}{x}{\lambda }_{0}. The value of xx is________.JEE Main/Numerical/Medium/Atomic Spectrum
  123. 123A photon is emitted in transition from n=4ton=1n=4ton=1 level in hydrogen atom. The corresponding wavelength for this transition is (given, h=4×10−15eVsh=4\times {10}^{-15}eVs)JEE Main/MCQ/Medium/Atomic Spectrum
  124. 124Find the ratio of energies of photons produced due to transition of an election of hydrogen atom from its(i) second permitted energy level to the first level, and (ii) the highest permitted energy level to the first permitted level.JEE Main/MCQ/Medium/Atomic Spectrum
  125. 125In a hydrogen spectrum λ\lambda be the wavelength of first transition line of Lyman series. The wavelength difference will be "aλa\lambda" between the wavelength of 3rd{3}^{rd} transition line of Paschen series and that of 2nd{2}^{nd} transition line of Balmer Series where a=a= _____.JEE Main/Numerical/Medium/Atomic Spectrum
  126. 126A beam of monochromatic light is used to excite the electron in Li++{Li}^{++} from the first orbit to the third orbit. The wavelength of monochromatic light is found to be x×10−10mx\times {10}^{-10}m. The value of xx is _____ .
    [Given     hc=1242eVnmhc=1242eVnm]    JEE Main/Numerical/Medium/Atomic Spectrum
  127. 127A free electron of 2.6eV2.6eV energy collides with a H+{H}^{+} ion. This results in the formation of a hydrogen atom in the first excited state and a photon is released. Find the frequency of the emitted photon. (h=6.6×10−34Js)\left(h=6.6\times {10}^{-34}Js\right)JEE Main/MCQ/Medium/Atomic Spectrum
  128. 128XX different wavelength may be observed in the spectrum from a hydrogen sample if the atoms are excited to states with principal quantum number n=6n=6? The value of XX isJEE Main/Numerical/Medium/Atomic Spectrum
  129. 129A particular hydrogen like ion emits radiation of frequency 2.92×1015Hz2.92\times {10}^{15}Hz when it makes transition from n=3n=3 to n=1n=1. The frequency in HzHz of radiation emitted in transition from n=2n=2 to n=1n=1 will be:JEE Main/MCQ/Medium/Atomic Spectrum
  130. 130The atomic hydrogen emits a line spectrum consisting of various series. Which series of hydrogen atomic spectra is lying in the visible region?JEE Main/MCQ/Medium/Atomic Spectrum
  131. 131The first three spectral lines of HH-atom in the Balmer series are given λ1,λ2,λ3{\lambda }_{1},{\lambda }_{2},{\lambda }_{3} considering the Bohr atomic model, the wave lengths of first and third spectral lines (λ1λ3)\left(\dfrac{{\lambda }_{1}}{{\lambda }_{3}}\right) are related by a factor of approximately xx ×10−1\times {10}^{-1}. The value of xx, to the nearest integer, is ________.JEE Main/Numerical/Medium/Atomic Spectrum
  132. 132If λ1{\lambda }_{1} and λ2{\lambda }_{2} are the wavelengths of the third member of Lyman and first member of the Paschen series respectively, then the value of λ1:λ2{\lambda }_{1}:{\lambda }_{2} is :JEE Main/MCQ/Medium/Atomic Spectrum
  133. 133The wavelength of the photon emitted by a hydrogen atom when an electron makes a transition from n=2n=2 to n=1n=1 state is:JEE Main/MCQ/Medium/Atomic Spectrum
  134. 134In the given figure, the energy levels of hydrogen atom have been shown along with some transitions marked A,B,C,DA,B,C,D and EE.
    The transitions     A,BA,B and CC respectively represent
    JEE Main/MCQ/Medium/Atomic Spectrum/With diagram
  135. 135In the line spectra of hydrogen atom, difference between the largest and the shortest wavelengths of the Lyman series is 305A∘305A^{^{\circ}}. The corresponding difference for the Paschan series in A∘A^{^{\circ}} is:________JEE Main/Numerical/Medium/Atomic Spectrum
  136. 136In a hydrogen atom the electron makes a transition from (n+1)th{\left(n+1\right)}^{th} level to the nth{n}^{th} level. If n>>1n\gt \gt 1, the frequency of radiation emitted is proportional to :JEE Main/MCQ/Medium/Atomic Spectrum
  137. 137The first member of the Balmer series of hydrogen atom has a wavelength of 6561A∘6561A^{^{\circ}}. The wavelength of the second member of the Balmer series (in nm) is_____________JEE Main/Numerical/Medium/Atomic Spectrum
  138. 138The time period of revolution of electron in its ground state orbit in a hydrogen atom is 1.6×10−16s.1.6\times {10}^{-16}s. The frequency of revolution of the electron in its first excited state (in s−1{s}^{-1} ) is:JEE Main/MCQ/Medium/Atomic Spectrum
  139. 139Taking the wavelength of first Balmer line in hydrogen spectrum (n=3(n=3 to n=2)n=2) as 660nm660nm , the wavelength of the 2nd{2}^{nd} Balmer line (n=4(n=4 to n=2)n=2) will be :JEE Main/MCQ/Medium/Atomic Spectrum
  140. 140Both the nucleus and the atom of some element are in their respective first excited states. They get de-excited by emitting photons of wavelengths λN,λA{\lambda }_{N},{\lambda }_{A} respectively. The ratio λNλA\dfrac{{\lambda }_{N}}{{\lambda }_{A}} is closest to:JEE Main/MCQ/Medium/Atomic Spectrum
  141. 141Two electrons are moving with non-relativistic speeds perpendicular to each other. If corresponding de Broglie wavelengths are λ1\lambda_1 and λ2\lambda_2, their de Broglie wavelength in the frame of reference attached to their centre of mass is:JEE Main/MCQ/Medium/Atomic Spectrum
  142. 142If the series limit frequency of the Lyman series is VL,{V}_{L}, then the series limit frequency of the Pfund series is:JEE Main/MCQ/Medium/Atomic Spectrum
  143. 143An electron from various excited states of hydrogen atom emit radiation to come to the ground state. Let λn,λg{\lambda }_{n},{\lambda }_{g} be the de Broglie wavelength of the electron in the nth{n}^{th} state and the ground state respectively. Let ∧n{∧}_{n} be the wavelength of the emitted photon in the transition from the nth{n}^{th} state to the ground state. For large n, (A, B are constants)JEE Main/MCQ/Medium/Atomic Spectrum
  144. 144Some energy levels of a molecule are shown in the figure. The ratio of the wavelengths r=λ1λ2r=\dfrac{{\lambda }_{1}}{{\lambda }_{2}}, is given by:

    JEE Main/MCQ/Medium/Atomic Spectrum/With diagram
  145. 145An electron in a hydrogen atom makes a transition from n=2n=2 to n=1n=1 and emits a photon. This photon strikes a doubly ionized lithium atom which was already in an excited state and completely removes the orbiting electron. The least quantum number for the excited state of the lithium-ion for the process isJEE Main/MCQ/Medium/Atomic Spectrum
  146. 146As an electron makes a transition from an excited state to the ground state of a hydrogen-like atom/ionJEE Main/MCQ/Medium/Atomic Spectrum
  147. 147Match the List-I (Phenomenon associated with electromagnetic radiation) with List-II (Part of electromagnetic spectrum) and select the correct code from the choices given below this lists:
    JEE Main/MCQ/Medium/Atomic Spectrum/With diagram
  148. 148Hydrogen (1H1), Deuterium (1H2), singly ionised Helium (2He4)+ and doubly ionised lithium (3Li6)++ all have one electron around the nucleus. Consider an electron transition from n=2n=2 to n=1n=1. If the wave lengths of emitted radiation are λ1,λ2,λ3{\lambda }_{1}\text{,}{\lambda }_{2}\text{,}{\lambda }_{3} and λ4{\lambda }_{4} respectively then approximately which one of the following is correct ?JEE Main/MCQ/Medium/Atomic Spectrum
  149. 149The radiation corresponding to 3→23\rightarrow 2 transition of hydrogen atom falls on a metal surface to produce photoelectrons. These electrons are made to enter a magnetic field of 3×10−4T3\times 1{0}^{-4}T. If the radius of the largest circular path followed by these electrons is 10.0 mm, the work function of the metal is close to :JEE Main/MCQ/Medium/Atomic Spectrum
  150. 150A doubly ionised Li\mathrm{Li} atom is excited from its ground state⁡(n=1)\operatorname{state}(n=1) to n=3n=3 state. The wavelengths of the spectral lines are given by λ32,λ31\lambda_{32}, \lambda_{31} and λ21\lambda_{21}. The ratio λ32/λ31\lambda_{32} / \lambda_{31} and λ21/λ31\lambda_{21} / \lambda_{31} are, respectivelyJEE Main/MCQ/Medium/Atomic Spectrum
  151. 151A hypothetical atom has only three energy levels. The ground level has energy, E1=−8eVE_1=-8 \mathrm{eV}. The two excited states have energies, E2=−6eVE_2=-6 \mathrm{eV} and E3=−2eVE_3=-2 \mathrm{eV}. Then which of the following wavelengths will not be present in the emission spectrum of this atom?JEE Main/MCQ/Medium/Atomic Spectrum
  152. 152The electron of a hydrogen atom makes a transition from the (n+1)th (n+1)^{\text {th }} orbit to the nth n^{\text {th }} orbit. For large n\mathrm{n} the wavelength of the emitted radiation is proportional toJEE Main/MCQ/Medium/Atomic Spectrum
  153. 153Hydrogen atom is excited from ground state to another state with principal quantum number equal to 44. Then the number of spectral lines in the emission spectra will beJEE Main/MCQ/Medium/Atomic Spectrum
  154. 154The transition from the state n=4n=4 to n=3n=3 in a hydrogen like atom results in ultraviolet radiation. Infrared radiation will be obtained in the transition fromJEE Main/MCQ/Medium/Atomic Spectrum
  155. 155The diagram shows the energy levels for an electron in a certain atom. Which transition shown represents the emission of a photon with the most energy ?
    JEE Main/MCQ/Medium/Atomic Spectrum/With diagram
  156. 156The wavelengths involved in the spectrum of deuterium (12D)\left({ }_1^2 \mathrm{D}\right) are slightly different from that of hydrogen spectrum, becauseJEE Main/MCQ/Medium/Atomic Spectrum
  157. 157A nucleus has mass number α\alpha and radius RαR_{\alpha}. Another nucleus has mass number β\beta and radius RβR_{\beta}. If β=8α\beta=8 \alpha then Rα/RβR_{\alpha} / R_{\beta} is:JEE Main/MCQ/Medium/Nuclear structure
  158. 158An atom 38X{ }_{3}^{8} X is bombarded by shower of fundamental particles and in 10 s this atom absorbed 10 electrons, 10 protons and 9 neutrons. The percentage growth in the surface area of the nucleons is recorded by:JEE Main/MCQ/Medium/Nuclear structure
  159. 159Which of the following pair of nuclei are isobars of the element?JEE Main/MCQ/Medium/Nuclear structure
  160. 1607.9MeVα7.9 \mathrm{MeV} \alpha-particle scatters from a target material of atomic number 79. From the given data the estimated diameter of nuclei of the target material is (approximately) ____\_\_\_\_ m. [14πϵo=9×109Nm2/C2\left[\frac{1}{4 \pi \epsilon_{\mathrm{o}}}=9 \times 10^{9} \mathrm{Nm}^{2} / \mathrm{C}^{2}\right. and electron charge =1.6×10−19C]\left.=1.6 \times 10^{-19} \mathrm{C}\right]JEE Main/MCQ/Medium/Nuclear structure
  161. 161For a nucleus of mass number AA and radius RR, the mass density of nucleus can be represented asJEE Main/MCQ/Medium/Nuclear structure
  162. 162Given below are two statements: one is labelled as Assertion (A) and the other is labelled as Reason (R).
    Assertion (A) : The density of the copper     (2964Cu)\left({ }_{29}^{64} \mathrm{Cu}\right) nucleus is greater than that of the carbon (612C)\left({ }_6^{12} \mathrm{C}\right) nucleus.
    Reason (R): The nucleus of mass number A has a radius proportional to     A1/3\mathrm{A}^{1 / 3}.
    In the light of the above statements, choose the most appropriate answer from the options given below :    JEE Main/MCQ/Medium/Nuclear structure
  163. 163Choose the correct nuclear process from the below options
    [p: proton, n : neutron,     e−\mathrm{e}^{-}: electron, e+\mathrm{e}^{+}: positron, v:v: neutrino, vˉ\bar{v} : antineutrino]    JEE Main/MCQ/Medium/Nuclear structure
  164. 164From the statements given below :
    (A) The angular momentum of an electron in     nth{n}^{th} orbit is an integral multiple of hh.
    (B) Nuclear forces do not obey inverse square law.
    (C) Nuclear forces are spin dependent.
    (D) Nuclear forces are central and charge independent.
    (E) Stability of nucleus is inversely proportional to the value of packing fraction.
    Choose the correct answer from the options given below :    JEE Main/MCQ/Medium/Nuclear structure
  165. 165The radius of a nucleus of mass number 6464 is 4.84.8 fermi. Then the mass number of another nucleus having radius of 44 fermi is 1000x,\dfrac{1000}{x}, where xx is _________.JEE Main/Numerical/Medium/Nuclear structure
  166. 166A nucleus has mass number A1{A}_{1} and volume V1{V}_{1}. Another nucleus has mass number A2{A}_{2} and volume V2{V}_{2}. If relation between mass number is A2=4A1{A}_{2}=4{A}_{1}, then V2V1=\dfrac{{V}_{2}}{{V}_{1}}= _______.JEE Main/Numerical/Medium/Nuclear structure
  167. 167The mass number of nucleus having radius equal to half of the radius of nucleus with mass number 192192 is:JEE Main/MCQ/Medium/Nuclear structure
  168. 168A free neutron decays into a proton but a free proton does not decay into neutron. This is becauseJEE Main/MCQ/Medium/Nuclear structure
  169. 169Given below are two statements : one is labelled as Assertion A and the other is labelled as Reason R
    Assertion A : The nuclear density of nuclides     B510,L36i,F2656e,N1020eandB83209iB510,L36i,F2656e,N1020e\text{and}B83209i can be arranged as ρBiN>ρFeN>ρNeN>ρBN>ρLiN{\rho }_{Bi}^{N}\gt {\rho }_{Fe}^{N}\gt {\rho }_{Ne}^{N}\gt {\rho }_{B}^{N}\gt {\rho }_{Li}^{N}
    Reason R : The radius     RR of nucleus is related to its mass number AA as R=R0A13R={R}_{0}{A}^{\dfrac{1}{3}}, where R0{R}_{0} is a constant.
    In the light of the above statement, choose the correct answer from the options given below :    JEE Main/MCQ/Medium/Nuclear structure
  170. 170The ratio of the density of oxygen nucleus (O816)\left(O816\right) and helium nucleus (He24)\left(He24\right) isJEE Main/MCQ/Medium/Nuclear structure
  171. 171Assume that protons and neutrons have equal masses. Mass of a nucleon is 1.6×10−27kg1.6\times {10}^{-27}kg and radius of nucleus is 1.5×10−15A13m1.5\times {10}^{-15}{A}^{\dfrac{1}{3}}m. The approximate ratio of the nuclear density and water density is n×1013n\times {10}^{13}. The value of nn is _____.JEE Main/Numerical/Medium/Nuclear structure
  172. 172Mass numbers of two nuclei are in the ratio of 4:34:3. Their nuclear densities will be in the ratio ofJEE Main/MCQ/Medium/Nuclear structure
  173. 173Consider the following statements:
    AA. Atoms of each element emit characteristics spectrum.
    B.B. According to Bohr's Postulate, an electron in a hydrogen atom revolves in a certain stationary orbit.
    C.C. The density of nuclear matter depends on the size of the nucleus.
    D.D. A free neutron is stable but a free proton decay is possible.
    E.E. Radioactivity is an indication of the instability of nuclei. Choose the correct answer from the options given below.    JEE Main/MCQ/Medium/Nuclear structure
  174. 174The radius RR of a nucleus of mass number AA can be estimated by the formula R=(1.3×10−15)A1/3mR=\left(1.3\times {10}^{-15}\right){A}^{1/3}m. It follows that the mass density of n nucleus is of the order of: (Mprot≅Mneut≃1.67×10−27kg)\left({M}_{prot}\cong {M}_{\text{neut}}≃1.67\times {10}^{-27}kg\right)JEE Main/MCQ/Medium/Nuclear structure
  175. 175The ratio of mass densities of nuclei of 40Ca{}^{40}Ca and16O{}^{16}O is close to:JEE Main/MCQ/Medium/Nuclear structure
  176. 176Which of the following Statements is correct?JEE Main/MCQ/Medium/Nuclear structure
  177. 177If radius of 1327Al{ }_{13}^{27} \mathrm{Al} nucleus is estimated to be 3.63.6 Fermi then the radius 52125Te{ }_{52}^{125} \mathrm{Te} nucleus be nearlyJEE Main/MCQ/Medium/Nuclear structure
  178. 178A nucleus disintegrates into two nuclear parts which have their velocities in the ratio 2:12: 1. The ratio of their nuclear sizes will beJEE Main/MCQ/Medium/Nuclear structure
  179. 179The energy released if hydrogen atoms are combined to form 24He^{4}_{2}\text{He} is __________ MeV. (Take binding energies per nucleon of 12H^{2}_{1}\text{H} and 24He^{4}_{2}\text{He} as 1.11.1 MeV and 7.27.2 MeV, respectively)JEE Main/MCQ/Medium/Nuclear energy
  180. 180The energy released when 717.13\dfrac{7}{17.13} kg of 37Li^{7}_{3}\text{Li} is converted into 24He^{4}_{2}\text{He} by proton bombardment is α×1032\alpha \times 10^{32} eV. The value of α\alpha is _______. (Nearest integer) (Mass of 37Li=7.0183^{7}_{3}\text{Li} = 7.0183 u, mass of 24He=4.004^{4}_{2}\text{He} = 4.004 u, mass of proton =1.008= 1.008 u and 11 u =931= 931 MeV/c2^2 and Avogadro number =6.0×1023= 6.0 \times 10^{23})JEE Main/Numerical/Medium/Nuclear energy
  181. 181Assuming the experimental mass of 612C{}^{12}_{6}C as 12 u12\text{ u}, the mass defect of 612C{}^{12}_{6}C atom is _______ MeV/c2\text{MeV}/c^2.
    (Mass of proton     =1.00727 u= 1.00727\text{ u}, mass of neutron =1.00866 u= 1.00866\text{ u}, 1 u=931.5 MeV/c21\text{ u} = 931.5\text{ MeV}/c^2 and cc is the speed of the light in vacuum).    JEE Main/MCQ/Medium/Nuclear energy
  182. 182Two nuclei of mass number 33 combine with another nucleus of mass number 44 to yield a nucleus of mass number 1010. If the binding energy per nucleon for the mass numbers 33, 44 and 1010 are 5.65.6 MeV, 7.47.4 MeV and 6.16.1 MeV, respectively, then in the process, ΔMc2=\Delta Mc^2 = _____ MeV.JEE Main/MCQ/Medium/Nuclear energy
  183. 183The binding energy per nucleon of 83209Bi^{209}_{83}Bi is _______ MeV.
    [Take m(83209Bi)=208.980388 u, mp=1.007825 u, mn=1.008665 u, 1 u=931 MeV/c2][\text{Take } m(^{209}_{83}Bi) = 208.980388 \, u, \, m_p = 1.007825 \, u, \, m_n = 1.008665 \, u, \, 1 \, u = 931 \, \text{MeV}/c^2]    JEE Main/MCQ/Medium/Nuclear energy
  184. 184The binding energy for the following nuclear reactions are expressed in MeV.
    2He3+0n1→2He4+20MeV{ }_{2} \mathrm{He}^{3}+{ }_{0} \mathrm{n}^{1} \rightarrow{ }_{2} \mathrm{He}^{4}+20 \mathrm{MeV}
    2He4+0n1→2He5−0.9MeV{ }_{2} \mathrm{He}^{4}+{ }_{0} \mathrm{n}^{1} \rightarrow{ }_{2} \mathrm{He}^{5}-0.9 \mathrm{MeV}
    If     X3,X4,X5\mathrm{X}_{3}, \mathrm{X}_{4}, \mathrm{X}_{5} denote the stability of 2He3,2He4{ }_{2} \mathrm{He}^{3},{ }_{2} \mathrm{He}^{4} and 2He5{ }_{2} \mathrm{He}^{5}, respectively, then the correct order is :    JEE Main/MCQ/Medium/Nuclear energy
  185. 185Given below are two statements:
    Statement I: For all elements, greater the mass of the nucleus, greater is the binding energy per nucleon.
    Statement II: For all elements, nuclei with less binding energy per nucleon transforms to nuclei with greater binding energy per nucleon.
    In the light of the above statements, choose the correct answer from the options given below    JEE Main/MCQ/Medium/Nuclear energy
  186. 186The minimum frequency of photon required to break a particle of mass 15.348 amu into 4α4 \alpha particles is ____\_\_\_\_ kHz.
    [mass of He nucleus =     4.002amu,1amu=1.66×10−27 kg, h=6.6×10−34 J.s4.002 \mathrm{amu}, 1 \mathrm{amu}=1.66 \times 10^{-27} \mathrm{~kg}, \mathrm{~h}=6.6 \times 10^{-34} \mathrm{~J}. \mathrm{s} and c=3×108 m/s\mathrm{c}=3 \times 10^{8} \mathrm{~m} / \mathrm{s} ]    JEE Main/MCQ/Medium/Nuclear energy
  187. 187Energy released when two deuterons (1H2)\left({ }_1 \mathrm{H}^2\right) fuse to form a helium nucleus (2He4)\left({ }_2 \mathrm{He}^4\right) is :
    (Given : Binding energy per nucleon of     1H2=1.1MeV{ }_1 \mathrm{H}^2=1.1 \mathrm{MeV} and binding energy per nucleon of 2He4=7.0MeV{ }_2 \mathrm{He}^4=7.0 \mathrm{MeV})    JEE Main/MCQ/Medium/Nuclear energy
  188. 188Given below are two statements. One is labelled as Assertion (A) and the other is labelled as Reason (R).
    Assertion (A) : The binding energy per nucleon is found to be practically independent of the atomic number A, for nuclei with mass numbers between 30 and 170.
    Reason (R): Nuclear force is long range.
    In the light of the above statements, choose the correct answer from the options given below :    JEE Main/MCQ/Medium/Nuclear energy
  189. 189A nucleus at rest disintegrates into two smaller nuclei with their masses in the ratio of 2:12: 1. After disintegration they will move :JEE Main/MCQ/Medium/Nuclear energy
  190. 190A star has 100%100 \% helium composition. It starts to convert three 4He{ }^4 \mathrm{He} into one 12C{ }^{12} \mathrm{C} via triple alpha process as 4He+4He+4He→12C+Q{ }^4 \mathrm{He}+{ }^4 \mathrm{He}+{ }^4 \mathrm{He} \rightarrow{ }^{12} \mathrm{C}+\mathrm{Q}. The mass of the star is 2.0×1032 kg2.0 \times 10^{32} \mathrm{~kg} and it generates energy at the rate of 5.808×1030 W5.808 \times 10^{30} \mathrm{~W}. The rate of converting these 4He{ }^4 \mathrm{He} to 12C{ }^{12} \mathrm{C} is n×1042 s−1\mathrm{n} \times 10^{42} \mathrm{~s}^{-1}, where n\mathrm{n} is _________
    [ Take, mass of     4He=4.0026u{ }^4 \mathrm{He}=4.0026 \mathrm{u}, mass of 12C=12u{ }^{12} \mathrm{C}=12 \mathrm{u} ]    JEE Main/Numerical/Medium/Nuclear energy
  191. 191The energy equivalent of 1 g1 \mathrm{~g} of substance is :JEE Main/MCQ/Medium/Nuclear energy
  192. 192If MoM_o is the mass of isotope 512B,MP{ }_5^{12} B, M_P and MnM_n are the masses of proton and neutron, then nuclear binding energy of isotope is :JEE Main/MCQ/Medium/Nuclear energy
  193. 193Binding energy of a certain nucleus is 18×108 J18 \times 10^8 \mathrm{~J}. How much is the difference between total mass of all the nucleons and nuclear mass of the given nucleus:JEE Main/MCQ/Medium/Nuclear energy
  194. 194The disintegration energy QQ for the nuclear fission of 235U→140Ce+94Zr+n{ }^{235} \mathrm{U} \rightarrow{ }^{140} \mathrm{Ce}+{ }^{94} \mathrm{Zr}+n is ______ MeV\mathrm{MeV}.
    Given atomic masses of     235U:235.0439u;140Ce:139.9054u{ }^{235} \mathrm{U}: 235.0439 u ;{ }^{140} \mathrm{Ce}: 139.9054 u,
    94Zr:93.9063u;n:1.0086u, { }^{94} \mathrm{Zr}: 93.9063 u ; n: 1.0086 u \text {, }
    Value of     c2=931MeV/uc^2=931 \mathrm{MeV} / \mathrm{u}    JEE Main/Numerical/Medium/Nuclear energy
  195. 195The atomic mass of C126C126 is 12.000000u12.000000u and that of C136C136 is 13.003354u13.003354u. The required energy to remove a neutron from C136C136, if mass of neutron is 1.008665u1.008665u, will be:JEE Main/MCQ/Medium/Nuclear energy
  196. 196In a nuclear fission process, a high mass nuclide (A≈236)(A\approx 236) with binding energy 7.6MeV/7.6MeV/Nucleon dissociated into two middle mass nuclides (A≈118)(A\approx 118), having binding energy of 8.6MeV/8.6MeV/Nucleon. The energy released in the process would be _______ MeVMeV.JEE Main/Numerical/Medium/Nuclear energy
  197. 197Given below are two statements: one is labelled as Assertion A and the other is labelled as Reason R
    Assertion A : The binding energy per nucleon is practically independent of the atomic number for nuclei of mass number in the range     3030 to 170170.
    Reason R : Nuclear force is short ranged.
    In the light of the above statements, choose the correct answer from the options given below    JEE Main/MCQ/Medium/Nuclear energy
  198. 19892238A→90234B+D24+Q92238A\rightarrow 90234B+D24+Q
    In the given nuclear reaction, the approximate amount of energy released will be:
    [Given, mass of     92238A=238.05079×931.5MeVc−292238A=238.05079\times 931.5MeV{c}^{-2}, mass of B90234=234.04363×931.5MeVc−2B90234=234.04363\times 931.5MeV{c}^{-2}, mass of D24=4.00260×931.5MeVc−2D24=4.00260\times 931.5MeV{c}^{-2} ]    JEE Main/MCQ/Medium/Nuclear energy
  199. 199A nucleus with mass number 242242 and binding energy per nucleon as 7.6MeV7.6MeV breaks into two fragment each with mass number 121121. If each fragment nucleus has binding energy per nucleon as 8.1MeV,8.1MeV, the total gain in binding energy is _______MeV.JEE Main/Numerical/Medium/Nuclear energy
  200. 200For a nucleus XZAXZA having mass number A and atomic number ZZ
    A. The surface energy per nucleon    (bs)=–a1A23.({b}_{s})=–{a}_{1}{A}^{\dfrac{2}{3}}.
    B. The Coulomb contribution to the binding energy     bc=−a2Z(Z−1)A43{b}_{c}=-{a}_{2}\dfrac{Z(Z-1)}{{A}^{\dfrac{4}{3}}}.
    C. The volume energy     bv=a3A{b}_{v}={a}_{3}A
    D. Decrease in the binding energy is proportional to surface area.
    E. While estimating the surface energy, it is assumed that each nucleon interacts with 12 nucleons. (    a1,a2{a}_{1},{a}_{2} and a3{a}_{3} are constants)
    Choose the most appropriate answer from the options given below:    JEE Main/MCQ/Medium/Nuclear energy
  201. 201If the binding energy of ground state electron in a hydrogen atom is 13.6eV13.6eV, then, the energy required to remove the electron from the second excited state of Li2+Li{}^{2+} will be: x×10−1eVx\times {10}^{-1}eV. The value of xx is _____.JEE Main/Numerical/Medium/Nuclear energy
  202. 202The QQ-value of a nuclear reaction and kinetic energy of the projectile particle, Kp{K}_{p} are related asJEE Main/MCQ/Medium/Nuclear energy
  203. 203Nucleus AA is having mass number 220220 and its binding energy per nucleon is 5.6MeV5.6MeV. It splits in two fragments BB and CC of mass numbers 105105 and 115115. The binding energy of nucleons in BB and CC is 6.4MeV6.4MeV per nucleon. The energy QQ released per fission will be:JEE Main/MCQ/Medium/Nuclear energy
  204. 204From the given data, the amount of energy required to break the nucleus of aluminium Al1327Al1327 is __________x×10−3Jx\times {10}^{-3}J
    Mass of neutron     =1.00866u=1.00866u
    Mass of proton     =1.00726u=1.00726u
    Mass of Aluminium nucleus     =27.18846u=27.18846u
    (Assume     1u1u corresponds to xJxJ of energy)
    (Round off to the nearest integer)    JEE Main/Numerical/Medium/Nuclear energy
  205. 205A nucleus with mass number 184184 initially at rest emits an α−\alpha -particle. If the QQ value of the reaction is 5.5MeV,5.5MeV, calculate the kinetic energy of the α−\alpha - particle.JEE Main/MCQ/Medium/Nuclear energy
  206. 206You are given that Li37=7.0160u,Li37=7.0160u,Mass of Mass of He24=4.0026uHe24=4.0026u and Mass of He11=1.0079HHe11=1.0079H When 20g20g of Li37Li37 is converted into 24{}_{2}^{4} He by proton capture, the energy liberated, (in kWhkWh ), is : [Mass of nucleon =1GeV/c2=1GeV/{c}^{2}]JEE Main/MCQ/Medium/Nuclear energy
  207. 207Find the Binding energy per nucleon for Sn50120Sn50120. Mass of proton mp=1.00783U{m}_{p}=1.00783U, mass of neutron mn=1.00867U{m}_{n}=1.00867U and mass of tin nucleus msn=119.902199U{m}_{sn}=119.902199U. (take 1U=931MeV1U=931MeV)JEE Main/MCQ/Medium/Nuclear energy
  208. 208Imagine that a reactor converts all the given mass into energy and that it operates at a power level of 109Watt{10}^{9}Watt . The mass of the fuel consumed perhourperhour, in the reactor, will be:
    (velocity of light,     cc is 3×108ms−13\times {10}^{8}m{s}^{-1})    JEE Main/MCQ/Medium/Nuclear energy
  209. 209Assume that a neutron breaks into a proton and an electron. The energy released during this process is (Mass of neutron =1.6725×10−27 kg;=1.6725 \times 10^{-27} \mathrm{~kg} ; mass of proton =1.6725×10−27 kg;=1.6725 \times 10^{-27} \mathrm{~kg} ; mass of electron =9×10−31=9 \times 10^{-31} kg)\mathrm{kg})JEE Main/MCQ/Medium/Nuclear energy
  210. 210A nucleus of mass M+ΔmM+\Delta m is at rest and decays into two daughter nuclei of equal mass M2\frac{M}{2} each. Speed of light is c\mathrm{c}.
    40. The binding energy per nucleon for the parent nucleus is     E1E_1 and that for the daughter nuclei is E2E_2. Then    JEE Main/MCQ/Medium/Nuclear energy
  211. 211The above is a plot of binding energy per nucleon EbE_b, against the nuclear mass M;A,B,C,D,E,FM ; A, B, C, D, E, F correspond to different nuclei. Consider four reactions:
    (i)     A+B→C+εA+B \rightarrow C+\varepsilon
    (ii)     C→A+B+ε\mathrm{C} \rightarrow \mathrm{A}+\mathrm{B}+\varepsilon
    (iii)     D+E→F+ε\mathrm{D}+\mathrm{E} \rightarrow \mathrm{F}+\varepsilon and
    (iv)     F→D+E+εF \rightarrow D+E+\varepsilon where ε\varepsilon is the energy released? In which reactions is ε\varepsilon positive?
    JEE Main/MCQ/Medium/Nuclear energy/With diagram
  212. 212This question contains Statement −1-1 and Statement-2. Of the four choices given after the statements, choose the one that best describes the two statements.
    Statement - I:
    Energy is released when heavy nuclei undergo fission or light nuclei undergo fusion. and
    Statement - II
    For heavy nuclei, binding energy per nucleon increases with increasing     ZZ while for light nuclei it decrease with increasing ZZ.    JEE Main/MCQ/Medium/Nuclear energy
  213. 213If Mo\mathrm{M_o} is the mass of an oxygen isotope 8O17,Mp\mathrm{{ }_8 O^{17}, M_p} and MN\mathrm{M_N} are the masses of a proton and a neutron respectively, the nuclear binding energy of the isotope isJEE Main/MCQ/Medium/Nuclear energy
  214. 214A solid which is transparent to visible light and whose conductivity increases with temperature is formed byJEE Main/MCQ/Medium/Nuclear energy
  215. 215If mass-energy equivalence is taken into account, when water is cooled to form ice, the mass of
    water should    JEE Main/MCQ/Medium/Nuclear energy
  216. 216The average energy released per fission for the nucleus of 92235U{ }_{92}^{235} \mathrm{U} is 190 MeV. When all the atoms of 47 g pure 92235U{ }_{92}^{235} \mathrm{U} undergo fission process, the energy released is α×1023MeV\alpha \times 10^{23} \mathrm{MeV}. The value of α\alpha is ____\_\_\_\_.
    (Avogadro Number     =6×1023=6 \times 10^{23} per mole)    JEE Main/Numerical/Medium/Nuclear reactions
  217. 217Match the LIST-I with LIST-II
    LIST-ILIST-IIA.01n+92235U→54140Xe+3894Sr+201nI.ChemicalreactionB.2H2+O2→2H2OII.Fusionwith +veQ valueC.12H+12H→23He+01nIII.FissionD.11H+13H→12H+12HIV.Fusionwith -ve Qvalue\begin{array}{|l|l|l|l|}\hline & \text{LIST-I} & & \text{LIST-II} \\ \hline \text{A.} & \begin{array}{l} { }_0^1 \mathrm{n}+{ }_{92}^{235} \mathrm{U} \\ \rightarrow{ }_{54}^{140} \mathrm{Xe}+{ }_{38}^{94} \mathrm{Sr}+2{ }_0^1 \mathrm{n} \end{array} & \text{I.} & \begin{array}{l} \text{Chemical} \\ \text{reaction} \end{array} \\ \hline \text{B.} & 2 \mathrm{H}_2+\mathrm{O}_2 \rightarrow 2 \mathrm{H}_2 \mathrm{O} & \text{II.} & \begin{array}{l} \text{Fusion} \\ \text{with +ve} \\ \text{Q value} \end{array} \\ \hline \text{C.} & { }_1^2 \mathrm{H}+{ }_1^2 \mathrm{H} \rightarrow{ }_2^3 \mathrm{He}+{ }_0^1 \mathrm{n} & \text{III.} & \text{Fission} \\ \hline \text{D.} & { }_1^1 \mathrm{H}+{ }_1^3 \mathrm{H} \rightarrow{ }_1^2 \mathrm{H}+{ }_1^2 \mathrm{H} & \text{IV.} & \begin{array}{l} \text{Fusion} \\ \text{with -ve Q} \\ \text{value} \end{array} \\ \hline\end{array}
    Choose the correct answer from the options given below :    JEE Main/MCQ/Medium/Nuclear reactions
  218. 218The energy released in the fusion of 2 kg2 \mathrm{~kg} of hydrogen deep in the sun is EHE_H and the energy released in the fission of 2 kg2 \mathrm{~kg} of 235U{ }^{235} \mathrm{U} is EUE_U. The ratio EHEU\frac{E_H}{E_U} is approximately:
    (Consider the fusion reaction as     4∣H+2e−→24He+2v+6γ+26.7MeV4 \mid H+2 \mathrm{e}^{-} \rightarrow{ }_2^4 \mathrm{He}+2 v+6 \gamma+26.7 \mathrm{MeV}, energy released in the fission reaction of 235U{ }^{235} \mathrm{U} is 200MeV200 \mathrm{MeV} per fission nucleus and NA=\mathrm{N}_{\mathrm{A}}= 6.023×1023)\left.6.023 \times 10^{23}\right)    JEE Main/MCQ/Medium/Nuclear reactions
  219. 219In a hypothetical fission reaction
    92X236→56Y141+36Z92+3R{ }_{92} X^{236} \rightarrow{ }_{56} Y^{141}+{ }_{36} Z^{92}+3 R
    The identity of emitted particles (     R)\mathrm{R}) is :    JEE Main/MCQ/Medium/Nuclear reactions
  220. 220If three helium nuclei combine to form a carbon nucleus then the energy released in this reaction is _____×10−2MeV\times 10^{-2} \mathrm{MeV}. (Given 1u=931MeV/c21 \mathrm{u}=931 \mathrm{MeV} / \mathrm{c}^2, atomic mass of helium =4.002603u=4.002603 \mathrm{u} )JEE Main/Numerical/Medium/Nuclear reactions
  221. 221Which of the following nuclear fragments corresponding to nuclear fission between neutron (01n)\left({ }_0^1 \mathrm{n}\right) and uranium isotope (92235U)\left({ }_{92}^{235} \mathrm{U}\right) is correct :JEE Main/MCQ/Medium/Nuclear reactions
  222. 222In a nuclear fission reaction of an isotope of mass MM, three similar daughter nuclei of same mass are formed. The speed of a daughter nuclei in terms of mass defect ΔM\Delta M will be :JEE Main/MCQ/Medium/Nuclear reactions
  223. 223The explosive in a Hydrogen bomb is a mixture of H21,H31H21,H31 and Li63Li63 in some condensed form. The chain reaction is given by Li63+n10→He42+H31Li63+n10\rightarrow He42+H31; H21+H31→He42+n10H21+H31\rightarrow He42+n10
    During the explosion the energy released is approximately [Given :     M(Li)=6.01690amu,M(H21)=2.01471amu,M(He42)=4.00388amuM(Li)=6.01690amu,M\left(H21\right)=2.01471amu,M\left(He42\right)=4.00388amu and 1amu=931.5MeV1amu=931.5MeV]    JEE Main/MCQ/Medium/Nuclear reactions
  224. 224The energy released per fission of nucleus of X240X240 is 200MeV200MeV. The energy released if all the atoms in 120g120g of pure X240X240 undergo fission is _____×1025MeV\times {10}^{25}MeV.
    (Given     NA=6×1023{N}_{A}=6\times {10}^{23})    JEE Main/Numerical/Medium/Nuclear reactions
  225. 225Two lighter nuclei combine to form a comparatively heavier nucleus by the relation given below:
    X12+X12=Y24X12+X12=Y24
    The binding energies per nucleon     X12X12 and Y24Y24 are 1.1MeV1.1MeV and 7.6MeV7.6MeV respectively. The energy released in this process is_____ MeVMeV.    JEE Main/Numerical/Medium/Nuclear reactions
  226. 226In the following nuclear reaction,
    D→αD1→β−D2→αD3→γD4D\rightarrow ^{\alpha }{D}_{1}\rightarrow ^{{\beta }^{-}}{D}_{2}\rightarrow ^{\alpha }{D}_{3}\rightarrow ^{\gamma }{D}_{4}
    Mass number of     DD is 182182 and atomic number is 7474 . Mass number and atomic number of D4{D}_{4} respectively will be    JEE Main/MCQ/Medium/Nuclear reactions
  227. 227The decay of a proton to neutron is :JEE Main/MCQ/Medium/Nuclear reactions
  228. 228Given the masses of various atomic particles mP=1,0072u{m}_{P}=1,0072 u, mn=1,0087u{m}_{n}=1,0087 u, me=0.000548u{m}_{e}=0.000548 u, mvˉ=0{m}_{\bar{v}}=0, md=2.0141u{m}_{d}=2.0141 u, where p=p=proton, n≡n\equivneutron, e≡e\equivelectron, vˉ≡\bar{v}\equivantineutrino and dˉ≡\bar{d}\equivdeuteron. Which of the following process is allowed by momentum and energy conservation :JEE Main/MCQ/Medium/Nuclear reactions
  229. 229Consider the nuclear fission, Ne20→2He4+C12{Ne}^{20}\rightarrow 2{He}^{4}+{C}^{12}. Given that the binding energy/nucleon of Ne20,He4{Ne}^{20},{He}^{4}andC12{C}^{12} are 8.03MeV,7.86MeV8.03 MeV,7.86MeV, respectively. Identify the correct statement:JEE Main/MCQ/Medium/Nuclear reactions
  230. 230An unstable heavy nucleus at rest breaks into two nuclei which move away with velocities in the ratio of 8:278: 27. The ratio of the radii of the nuclei (assumed to be spherical ) is:JEE Main/MCQ/Medium/Nuclear reactions
  231. 231Two deuterons undergo nuclear fusion to form a Helium nucleus. The energy released in this process is (given binding energy per nucleon for deuteron=1.1MeV=\text{1.1}MeV and for helium=7.0MeV=\text{7.0}MeV)JEE Main/MCQ/Medium/Nuclear reactions
  232. 232When Uranium is bombarded with neutrons, it undergoes fission. The fission reaction can be written as :
    92U235+0n1→56Ba141+36Kr92+3x+Q({ }_{92} \mathrm{U}^{235}+{ }_0 n^1 \rightarrow{ }_{56} \mathrm{Ba}^{141}+{ }_{36} \mathrm{Kr}^{92}+3 x+\mathrm{Q}( energy)
    where three particles named     xx are produced and energy Q\mathrm{Q} is released. What is the name of the particle xx ?    JEE Main/MCQ/Medium/Nuclear reactions
  233. 233A nucleus of mass M+ΔmM+\Delta m is at rest and decays into two daughter nuclei of equal mass M2\frac{M}{2} each. Speed of light is C\mathrm{C}.
    The speed of daughter nuclei is    JEE Main/MCQ/Medium/Nuclear reactions
  234. 234If the binding energy per nucleon in 37Li{ }_3^7 \mathrm{Li} and 24He{ }_2^4 \mathrm{He} nuclei are 5.60MeV5.60 \mathrm{MeV} and 7.06MeV7.06 \mathrm{MeV} respectively, then in the reaction
    p+37Li→224He\mathrm{p}+{ }_3^7 \mathrm{Li} \rightarrow 2{ }_2^4 \mathrm{He}
    energy of proton must be    JEE Main/MCQ/Medium/Nuclear reactions
  235. 235When 3Li′{ }_3 \mathrm{Li}^{\prime} nuclei are bombarded by protons, and the resultant nuclei are 4Be8{ }_4 \mathrm{Be}^8, the emitted particles will beJEE Main/MCQ/Medium/Nuclear reactions
  236. 236A nuclear transformation is denoted by X(n,α)37LiX(n, \alpha){ }_3^7 \mathrm{Li}. Which of the following is the nucleus of element XX ?JEE Main/MCQ/Medium/Nuclear reactions
  237. 237The binding energy per nucleon of deuteron (12H)\left({ }_1^2 \mathrm{H}\right) and helium nucleus (24He)\left({ }_2^4 \mathrm{He}\right) is 1.1MeV1.1 \mathrm{MeV} and 7MeV7 \mathrm{MeV} respectively. If two deuteron nuclei react to form a single helium nucleus, then the energy released isJEE Main/MCQ/Medium/Nuclear reactions
  238. 238A nucleus with Z=92\mathrm{Z}=92 emits the following in a sequence:
    α,β−,β−α,α,α,α,α,β−,β−,α,β+,β+,α\alpha, \beta^{-}, \beta^{-} \alpha, \alpha, \alpha, \alpha, \alpha, \beta^{-}, \beta^{-}, \alpha, \beta^{+}, \beta^{+}, \alpha. Then Z\mathrm{Z} of the resulting nucleus is    JEE Main/MCQ/Medium/Nuclear reactions
  239. 239When a U238U^{238} nucleus originally at rest, decays by emitting an alpha particle having a speed ' uu ', the recoil speed of the residual nucleus isJEE Main/MCQ/Medium/Nuclear reactions

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