Physics · JEE Main, NEET

Thermal Properties of Matter

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

101MCQ25Numerical17With diagram
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  1. 1A black body at temperature T1=300 KT_1 = 300\,\text{K} radiates power 81 W81\,\text{W}. If its temperature is raised to T2=600 KT_2 = 600\,\text{K}, the radiated power is (in W):JEE Main/Numerical/Medium
  2. 2The efficiency of a Carnot engine operating between 27∘C27^\circ\text{C} and 327∘C327^\circ\text{C} is:NEET/MCQ/Medium
  3. 3The temperature of a body in air falls from 40∘C40^{\circ} \mathrm{C} to 24∘C24^{\circ} \mathrm{C} in 4 minutes. The temperature of the air is 16∘C16^{\circ} \mathrm{C}. The temperature of the body in the next 4 minutes will be:JEE Main/MCQ/Medium/Thermometry
  4. 4Which of the following figure represents the relation between Celsius and Fahrenheit temperatures ?JEE Main/MCQ/Medium/Thermometry
  5. 5On celcius scale the temperature of body increases by 40∘C40^{\circ} \mathrm{C}. The increase in temperature on Fahrenheit scale is :JEE Main/MCQ/Medium/Thermometry
  6. 6On a temperature scale 'XX', the boiling point of water is 65∘X65^{\circ}X and the freezing point is −15∘X-15^{\circ}X. Assuming that the XX scale is linear. The equivalent temperature corresponding to −95∘X-95^{\circ}X on the Fahrenheit scale would beJEE Main/MCQ/Medium/Thermometry
  7. 7A faulty thermometer reads 5∘C5^{\circ}C in melting ice and 95∘C95^{\circ}C in steam. The correct temperature on absolute scale will be ______ KK when the faulty thermometer reads 41∘C41^{\circ}C.JEE Main/Numerical/Medium/Thermometry
  8. 8The graph between two temperature scales PP and QQ is shown in the figure. Between upper fixed point and lower fixed point there are 150150 equal divisions of scale PP and 100100 divisions on scale QQ. The relationship for conversion between the two scales is given by :
    .    JEE Main/MCQ/Medium/Thermometry/With diagram
  9. 9Two different metal bodies AA and BB of equal mass are heated at a uniform rate under similar conditions. The variation of temperature of the bodies is graphically represented as shown in the figure. The ratio of specific heat capacities is:
    JEE Main/MCQ/Medium/Thermometry/With diagram
  10. 10A thermometer graduated according to a linear scale reads a value x0x_{0} when in contact with boiling water, and x0/3x_{0} / 3 when in contact with ice. What is the temperature of an object in ∘C{ }^{\circ} \mathrm{C}, if this thermometer in the contact with the object reads x0/2?x_{0} / 2 ?JEE Main/MCQ/Medium/Thermometry
  11. 11On a linear temperature scale Y\mathrm{Y}, water freezes at −160∘Y-160^{\circ} \mathrm{Y} and boils at −50∘Y-50^{\circ} \mathrm{Y}. On this Y\mathrm{Y} scale, a temperature of 340 K340 \mathrm{~K} would be read as : (water freezes at 273 K273 \mathrm{~K} and boils at 373 K373 \mathrm{~K} )JEE Main/MCQ/Medium/Thermometry
  12. 12Time taken by a 836 W836 \mathrm{~W} heater to heat one litre of water from 10∘C10^{\circ} \mathrm{C} to 40∘C40^{\circ} \mathrm{C} isJEE Main/MCQ/Medium/Thermometry
  13. 13The temperature of a metal strip having coefficient of linear expansion α\alpha is increased from T1T_1 to T2T_2 resulting in increase of its length by ΔL1\Delta L_1. The temperature is further increased from T2T_2 to T3T_3 such that the increase in its length is ΔL2\Delta L_2. Given T3+T1=2T2T_3+T_1=2T_2 and T2−T1=ΔTT_2-T_1=\Delta T, the value of ΔL2\Delta L_2 is ______.JEE Main/MCQ/Medium/Thermal Expansion
  14. 14A brass wire of length 2 m and radius 1 mm at 27∘C27^{\circ} \mathrm{C} is held taut between two rigid supports. Initially it was cooled to a temperature of −43∘C-43^{\circ} \mathrm{C} creating a tension TT in the wire. The temperature to which the wire has to be cooled in order to increase the tension in it to 1.4T1.4 T, is ____\_\_\_\_ ∘C{ }^{\circ} \mathrm{C}.JEE Main/MCQ/Medium/Thermal Expansion
  15. 15An aluminium and steel rods having same lengths and cross-sections are joined to make total length of 120 cm at 30∘C30^{\circ} \mathrm{C}. The coefficient of linear expansion of aluminium and steel are 24×10−6/∘C24 \times 10^{-6} /{ }^{\circ} \mathrm{C} and 1.2×10−5/∘C1.2 \times 10^{-5} /{ }^{\circ} \mathrm{C}, respectively. The length of this composite rod when its temperature is raised to 100∘C100^{\circ} \mathrm{C}, is ____\_\_\_\_ cm.JEE Main/MCQ/Medium/Thermal Expansion
  16. 16Consider a rectangular sheet of solid material of length ℓ=9 cm\ell=9 \mathrm{~cm} and width d=4 cm\mathrm{d}=4 \mathrm{~cm}. The coefficient of linear expansion is α=3.1×10−5 K−1\alpha=3.1 \times 10^{-5} \mathrm{~K}^{-1} at room temperature and one atmospheric pressure. The mass of sheet m=0.1 kg\mathrm{m}=0.1 \mathrm{~kg} and the specific heat capacity Cv=900 J kg−1 K−1\mathrm{C}_{\mathrm{v}}=900 \mathrm{~J} \mathrm{~kg}^{-1} \mathrm{~K}^{-1}. If the amount of heat supplied to the material is 8.1×102 J8.1 \times 10^2 \mathrm{~J} then change in area of the rectangular sheet is :-JEE Main/MCQ/Medium/Thermal Expansion
  17. 17At room temperature (27∘C)\left(27^{\circ} \mathrm{C}\right), the resistance of a heating element is 50Ω50 \Omega. The temperature coefficient of the material is 2.4×10−4∘C−12.4 \times 10^{-4}{ }^{\circ} \mathrm{C}^{-1}. The temperature of the element, when its resistance is 62Ω62 \Omega, is _____ ∘C{ }^{\circ} \mathrm{C}.JEE Main/Numerical/Medium/Thermal Expansion
  18. 18The resistances of the platinum wire of a platinum resistance thermometer at the ice point and steam point are 8Ω8 \Omega and 10Ω10 \Omega respectively. After inserting in a hot bath of temperature 400∘C400^{\circ} \mathrm{C}, the resistance of platinum wire is :JEE Main/MCQ/Medium/Thermal Expansion
  19. 19A steel rod of length 1m1m and cross-sectional area 10−4m2{10}^{-4}{m}^{2} is heated from 0∘C0^{\circ}C to 200∘C200^{\circ}C without being allowed to extend or bend. The compressive tension produced in the rod is _____×104N\times {10}^{4}N. (Given Young's modulus of steel =2×1011Nm−2=2\times {10}^{11}N{m}^{-2}, coefficient of linear expansion =10−5K−1={10}^{-5}{K}^{-1} )JEE Main/Numerical/Medium/Thermal Expansion
  20. 20A thin rod having a length of 1m1m and area of cross-section 3×10−6m23\times {10}^{-6}{m}^{2} is suspended vertically from one end. The rod is cooled from 210∘C210^{\circ}C to 160∘C160^{\circ}C. After cooling, a mass MM is attached at the lower end of the rod such that the length of rod again becomes 1m1m. Young's modulus and coefficient of linear expansion of the rod are 2×1011Nm−22\times {10}^{11}N{m}^{-2} and 2×10−5K−12\times {10}^{-5}{K}^{-1}, respectively. The value of MM is ______ kgkg. (Take g=10ms−2g=10m{s}^{-2})JEE Main/Numerical/Medium/Thermal Expansion
  21. 21A hole is drilled in a metal sheet. At 27∘C27^{\circ}C, the diameter of hole is 5cm5cm. When the sheet is heated to 177∘C177^{\circ}C, the change in the diameter of hole is d×10−3cmd\times {10}^{-3}cm . The value of dd will be _____, if coefficient of linear expansion of the metal is 1.6×10−5/C∘1.6\times {10}^{-5}/C^{\circ}JEE Main/Numerical/Medium/Thermal Expansion
  22. 22A unit scale is to be prepared whose length does not change with temperature and remains 20cm20cm, using a bimetallic strip made of brass and iron each of different length. The length of both components would change in such a way that difference between their lengths remains constant. If length of brass is 40cm40cm and length of iron will be _____ cmcm.
    (αiron=1.2×10−5K−1\left({\alpha }_{iron}=1.2\times {10}^{-5}{K}^{-1}\right. and αbrass=1.8×10−5K−1)\left.{\alpha }_{brass}=1.8\times {10}^{-5}{K}^{-1}\right).    JEE Main/Numerical/Medium/Thermal Expansion
  23. 23At what temperature a gold ring of diameter 6.230cm6.230cm be heated so that it can be fitted on a wooden bangle of diameter 6.241cm6.241cm? Both the diameters have been measured at room temperature (27∘C)\left(27^{\circ}C\right).
    (Given: coefficient of linear thermal expansion of gold     αL=1.4×10−5K−1{\alpha }_{L}=1.4\times {10}^{-5}{K}^{-1})    JEE Main/MCQ/Medium/Thermal Expansion
  24. 24A solid metallic cube having total surface area 24m224{m}^{2} is uniformly heated. If its temperature is increased by 10∘C10^{\circ}C, calculate the increase in volume of the cube. (Given α=5.0×10−4C∘−1\alpha =5.0\times {10}^{-4}{C^{\circ}}^{-1}).JEE Main/MCQ/Medium/Thermal Expansion
  25. 25A 2kg2kg steel rod of length 0.6m0.6m is clamped on a table vertically at its lower end and is free to rotate in the vertical plane. The upper end is pushed so that the rod falls under gravity. Ignoring the friction due to clamping at its lower end, the speed of the free end of the rod when it passes through its lowest position is _______m{s}^{-1}.
    (Take     g=10ms−2)g=10{ms}^{-2})    JEE Main/Numerical/Medium/Thermal Expansion
  26. 26Two thin metallic spherical shells of radii r1{r}_{1} and r2(r1<r2){r}_{2}\left({r}_{1}\lt {r}_{2}\right) are placed with their centres coinciding. A material of thermal conductivity KK is filled in the space between the shells. The inner shell is maintained at temperature θ1{\theta }_{1} and the outer shell at temperature θ2(θ1<θ2).{\theta }_{2}\left({\theta }_{1}\lt {\theta }_{2}\right). The rate at which heat flows radially through the material is :JEE Main/MCQ/Medium/Thermal Expansion
  27. 27An ideal gas is expanding such that PT3=P{T}^{3}= constant. The coefficient of volume expansion of the gas is:JEE Main/MCQ/Medium/Thermal Expansion
  28. 28A bimetallic strip consists of metals AA and BB. It is mounted rigidly as shown. The metal AA has higher coefficient of expansion compared to that of metal BB. When the bimetallic strip is placed in a cold both, it will :
    JEE Main/MCQ/Medium/Thermal Expansion/With diagram
  29. 29Given below are two statements: one is labelled as Assertion AA and the other is labelled as Reason RR.
    Assertion     AA : When a rod lying freely is heated, no thermal stress is developed in it.
    Reason     RR : On heating, the length of the rod increases.
    In the light of the above statements, choose the correct answer from the options given below:    JEE Main/MCQ/Medium/Thermal Expansion
  30. 30Each side of a box made of metal sheet in cubic shape is aa at room temperature TT, the coefficient of linear expansion of the metal sheet is α\alpha. The metal sheet is heated uniformly, by a small temperature ΔT\Delta T, so that its new temperature is T+ΔTT+\Delta T. Calculate the increase in the volume of the metal box.JEE Main/MCQ/Medium/Thermal Expansion
  31. 31Three rods of identical cross-section and length are made of three different materials of thermal conductivity K1,K2{K}_{1},{K}_{2} and K3{K}_{3}, respectively. They are joined together at their ends to make a long rod (see figure). One end of the long rod is maintained at 100∘C100^{\circ}C and the other at 0∘C0^{\circ}C (see figure). If the joints of the rod are at 70∘C70^{\circ}C and 20∘C20^{\circ}C in steady and there is no loss of energy from the surface of the rod, the correct relationship between K1,K2{K}_{1},{K}_{2} and K3{K}_{3} is :
    JEE Main/MCQ/Medium/Thermal Expansion/With diagram
  32. 32Two different wires having lengths L1{L}_{1} and L2{L}_{2} and respective temperature coefficient of linear expansion α1{\alpha }_{1} and α2,{\alpha }_{2}, are joined end-to-end. Then the effective temperature coefficient of linear expansion is :JEE Main/MCQ/Medium/Thermal Expansion
  33. 33The specific heat of water =4200J=4200\text{J} kg–1K–1{\text{kg}}^{–1}{\text{K}}^{–1} and the latent heat of ice =3.4×105J=3.4\times {10}^{5}\text{J} kg–1{\text{g}}^{–1}. 100100 grams of ice at 0oC0{ }^{\text{o}}\text{C} is placed in 200g200\text{g} of water at 25oC25{ }^{\text{o}}\text{C}. The amount of ice that will melt as the temperature of water reaches 0oC0{ }^{\text{o}}\text{C} is close to (in grams)JEE Main/MCQ/Medium/Thermal Expansion
  34. 34A bakelite beaker has volume capacity of 500cc500cc at 30∘C30^{\circ}C. When it is partially filled with Vm{V}_{m} volume (at 30∘C30^{\circ}C) of mercury, it is found that the unfilled volume of the beaker remains constant as temperature is varied. If γbester=6×10−60∘C−1,{\gamma }_{\text{bester}}=6\times {10}^{-6}0^{\circ}{C}^{-1}, where γ\gamma is the coefficient of volume expansion, then Vm{V}_{m} (in cccc ) is close to …\ldotsJEE Main/Numerical/Medium/Thermal Expansion
  35. 35When the temperature of a metal wire is increased from 0ºCto10ºC0ºCto10ºC, its length increases by 0.020.02%.The percentage change in its mass density will be closed to:JEE Main/MCQ/Medium/Thermal Expansion
  36. 36A non-isotropic solid metal cube has coefficients of linear expansion as: 5×10−5/oC5\times {10}^{-5}/{}^{\text{o}}\text{C} along the x-axis and 5×10−6/oC5\times {10}^{-6}/{}^{\text{o}}\text{C} along the y and the z-axis. If the coefficient of volume expansion of the solid is C×10−6/oC\text{C}\times {10}^{-6}/{}^{\text{o}}\text{C} then the value of CC is _____________JEE Main/Numerical/Medium/Thermal Expansion
  37. 37A uniform cylindrical rod of length LL and radius r, is made from a material whose Young’s modulus of Elasticity equals Y.Y. When this rod is heated by temperature T and simultaneously subjected to a net longutudinal compressional force F, its length remains unchanged. The coefficient of volume expansion, of the material of the rod, is (nearly) equal to:JEE Main/MCQ/Medium/Thermal Expansion
  38. 38At 40∘C,40^{\circ}C, a brass wire of 1mm1mm radius is hung from the ceiling. A small mass, MM is hung from the free end of the wire. When the wire is cooled down from 40∘C40^{\circ}C to 20∘C20^{\circ}C it regains its original length of 0.2m.0.2m. The value of MM is close to:
    (Coefficient of linear expansion and Young’s modulus of brass are     10−5/∘C{10}^{-5}{/}^{^{\circ}}C and 1011N/m2,{10}^{11}N/{m}^{2}, respectively; g=10ms−2g=10m{s}^{-2} )    JEE Main/MCQ/Medium/Thermal Expansion
  39. 39Two rods AA and BB of identical dimensions are at temperature 30∘C30^{\circ} \mathrm{C}. If A\mathrm{A} is heated upto 180∘C180^{\circ} \mathrm{C} and B\mathrm{B} upto T∘C,\mathrm{T}^{\circ} \mathrm{C}, then the new lengths are the same. If the ratio of the coefficients of linear expansion of A\mathrm{A} and B\mathrm{B} is 4:3,4: 3, then the value of TT isJEE Main/MCQ/Medium/Thermal Expansion
  40. 40A steel rail of length 5m5m and area of cross section 40cm240{cm}^{2} is prevented from expanding along its length while the temperature rises by 10∘C10^{\circ}C . If coefficient of linear expansion and Young's modulus of steel are 1.2×10−5K−11.2\times {10}^{-5}{K}^{-1} and 2×1011Nm−22\times {10}^{11}N{m}^{-2} respectively, the force developed in the rail is approximately:JEE Main/MCQ/Medium/Thermal Expansion
  41. 41A compressive force, FF is applied at the two ends of a long thin steel rod. It is heated, simultaneously, such that its temperature increases by ΔT\Delta T. The net change in its length is zero. Let ll be the length of the rod, A its area of cross-section, YY its Young's modulus, and α\alpha its coefficient of linear expansion. Then, FF is equal to:JEE Main/MCQ/Medium/Thermal Expansion
  42. 42An external pressure PP is applied on a cube at 0∘C0^{\circ}C so that it is equally compressed from all sides. KK is the bulk modulus of the material of the cube and α\alpha is its coefficient of linear expansion. Suppose we want to bring the cube to its original size by heating. The temperature should be raised by:JEE Main/MCQ/Medium/Thermal Expansion
  43. 43A simple pendulum made of a bob of mass m and a metallic wire of a negligible mass has a time period of 2s2s at T=0∘CT=0^{\circ}C. If the temperature of the wire is increased, and the corresponding change in its time period is plotted against its temperature, the resulting graph is a line of slope SS. If the coefficient of linear expansion of metal is α\alpha, then the value of SS isJEE Main/MCQ/Medium/Thermal Expansion
  44. 44A pendulum clock loses 12 s a day if the temperature is 40o{40}^{o} C and gains 4s a day if the temperature is 20o{20}^{o} C. The temperature at which the clock will show correct time, and the co-efficient of linear expansion (α)\left(\alpha \right) of the metal of the pendulum shaft are respectively:JEE Main/MCQ/Medium/Thermal Expansion
  45. 45The pressure that has to be applied to the ends of a steel wire of length 10cm10cm to keep its length constant when its temperature is raised by 100∘C100^{\circ}C is :
    (For steel, Young's modulus is     2×1011Nm−22\times {10}^{11}N{m}^{-2} and coefficient of thermal expansion is 1.1×10−5K−11.1\times {10}^{-5}{K}^{-1})    JEE Main/MCQ/Medium/Thermal Expansion
  46. 46The ratio of the coefficient of volume expansion of a glass container to that of a viscous liquid kept inside the container is 1:41: 4. What fraction of the inner volume of the container should the liquid occupy so that the volume of the remaining vacant space will be same at all temperatures ?JEE Main/MCQ/Medium/Thermal Expansion
  47. 47A wooden wheel of radius R\mathrm{R} is made of two semicircular parts (see figure); The two parts are held together by a ring made of a metal strip of cross sectional area S and length LL. LL is slightly less than 2πR2 \pi R. To fit the ring on the wheel, it is heated so that its temperature rises by ΔT\Delta \mathrm{T} and it just steps over the wheel. As it cools down to surrounding temperature, it presses the semicircular parts together. If the coefficient of linear expansion of the metal is α\alpha, and its Youngs' modulus is YY, the force that one part of the wheel applies on the other part is :
    JEE Main/MCQ/Medium/Thermal Expansion/With diagram
  48. 48The heat extracted out of xx gram of water initially at 50°C50°C to cool it down to 0°C0°C is sufficient to evaporate (1000−x)(1000 - x) gram of water also initially at 50°C50°C. The value of xx (closest integer) is _______.
    (Take latent heat of water     2256 kJ/kg.K2256\text{ kJ/kg.K}, specific heat capacity of water 4200 J/kg.K4200\text{ J/kg.K})    JEE Main/Numerical/Medium/Calorimetry
  49. 4910 kg of ice at −10∘C-10^{\circ} \mathrm{C} is added to 100 kg of water to lower its temperature from 25 ∘C{ }^{\circ} \mathrm{C}. Consider no heat exchange to surroundings. The decrement to the temperature of water is ____\_\_\_\_ ∘C{ }^{\circ} \mathrm{C}.
    (specific heat of ice     =2100 J/Kg.∘C=2100 \mathrm{~J} / \mathrm{Kg}.{ }^{\circ} \mathrm{C}, specific heat of water =4200 J/Kg.∘C=4200 \mathrm{~J} / \mathrm{Kg}.{ }^{\circ} \mathrm{C}, latent heat of fusion of ice =3.36×105 J/Kg=3.36 \times 10^{5} \mathrm{~J} / \mathrm{Kg})    JEE Main/MCQ/Medium/Calorimetry
  50. 50Which of the following best represents the temperature versus heat supplied graph for water, in the range of −20∘C-20^{\circ} \mathrm{C} to 120∘C120^{\circ} \mathrm{C} ?JEE Main/MCQ/Medium/Calorimetry
  51. 51A gas based geyser heats water flowing at the rate of 5.0 litres per minute from 27∘C27^{\circ} \mathrm{C} to 87∘C87^{\circ} \mathrm{C}. The rate of consumption of the gas is ____\_\_\_\_ g/s\mathrm{g} / \mathrm{s}.
    (Take heat of combustion of gas     =5.0×104 J/g=5.0 \times 10^{4} \mathrm{~J} / \mathrm{g}) specific heat capacity of water =4200 J/kg⋅∘C=4200 \mathrm{~J} / \mathrm{kg} \cdot{ }^{\circ} \mathrm{C}    JEE Main/MCQ/Medium/Calorimetry
  52. 52Water falls from a height of 200 m into a pool. Calculate the rise in temperature of the water assuming no heat dissipation from the water in the pool.
    (\left(\right. Take g=10 m/s2g=10 \mathrm{~m} / \mathrm{s}^2, specific heat of water =4200 J/(kgK))\left.=4200 \mathrm{~J} /(\mathrm{kg} \mathrm{K})\right)    JEE Main/MCQ/Medium/Calorimetry
  53. 53A gun fires a lead bullet of temperature 300 K into a wooden block. The bullet having melting temperature of 600 K penetrates into the block and melts down. If the total heat required for the process is 625 J , then the mass of the bullet is \qquad grams.
    (Latent heat of fusion of lead     =2.5×104JKg−1=2.5 \times 10^4 \mathrm{JKg}^{-1} and specific heat capacity of lead =125JKg−1=125 \mathrm{JKg}^{-1} K−1)\left.\mathrm{K}^{-1}\right)    JEE Main/MCQ/Medium/Calorimetry
  54. 54An amount of ice of mass 10−3 kg10^{-3} \mathrm{~kg} and temperature −10∘C-10^{\circ} \mathrm{C} is transformed to vapour of temperature 110∘C110^{\circ} \mathrm{C} by applying heat. The total amount of work required for this conversion is, (Take, specific heat of ice =2100Jkg−1 K−1=2100 \mathrm{Jkg}^{-1} \mathrm{~K}^{-1}, specific heat of water =4180Jkg−1 K−1=4180 \mathrm{Jkg}^{-1} \mathrm{~K}^{-1}, specific heat of steam =1920Jkg−1 K−1=1920 \mathrm{Jkg}^{-1} \mathrm{~K}^{-1}, Latent heat of ice =3.35×105Jkg−1=3.35 \times 10^5 \mathrm{Jkg}^{-1} and Latent heat of steam =2.25×106=2.25 \times 10^6 Jkg−1\mathrm{Jkg}^{-1} )JEE Main/MCQ/Medium/Calorimetry
  55. 55A block of ice at −10∘C-10^{\circ}C is slowly heated and converted to steam at 100∘C100^{\circ}C. Which of the following curves represent the phenomenon qualitatively:JEE Main/MCQ/Medium/Calorimetry
  56. 561kg1kg of water at 100∘C100^{\circ}C is converted into steam at 100∘C100^{\circ}C by boiling at atmospheric pressure. The volume of water changes from 1.00×10−3m31.00\times {10}^{-3}{m}^{3} as a liquid to 1.671m31.671{m}^{3} as steam. The change in internal energy of the system during the process will be (Given latent heat of vaporisation =2257kJ/kg=2257kJ/kg, Atmospheric pressure =1×105Pa)\left.=1\times {10}^{5}Pa\right)JEE Main/MCQ/Medium/Calorimetry
  57. 57A water heater of power 2000W2000W is used to heat water. The specific heat capacity of water is 4200Jkg−1K−14200J{kg}^{-1}{K}^{-1}. The efficiency of heater is 7070%. Time required to heat 2kg2kg of water from 10∘C10^{\circ}C to 60∘C60^{\circ}C is _____ ss.
    (Assume that the specific heat capacity of water remains constant over the temperature range of the water).    JEE Main/Numerical/Medium/Calorimetry
  58. 58Heat energy of 184kJ184kJ is given to ice of mass 600g600g at −12∘C-12^{\circ}C, Specific heat of ice is 2222.3J{kg}^{–1}^{\circ}{C}^{–1} and latent heat of ice is 336kJkg–1336kJ{kg}^{–1}.
    (A) Final temperature of system will be     0∘C0^{\circ}C
    (B) Final temperature of the system will be greater than     0∘C0^{\circ}C
    (C) The final system will have a mixture of ice and water in the ratio of     5:15:1
    (D) The final system will have a mixture of ice and water in the ratio of     1:51:5
    (E) The final system will have water only
    Choose the correct answer from the options given below :    JEE Main/MCQ/Medium/Calorimetry
  59. 59According to law of equipartition of energy the molar specific heat of a diatomic gas at constant volume where the molecule has one additional vibrational mode is :-JEE Main/MCQ/Medium/Calorimetry
  60. 60An ice cube of dimensions 60cm×50cm×20cm60cm\times 50cm\times 20cm is placed in an insulation box of wall thickness 1cm1cm. The box keeping the ice cube at 0∘C0^{\circ}C of temperature is brought to a room of temperature 40∘C40^{\circ}C. The rate of melting of ice is approximately: (Latent heat of fusion of ice is 3.4×105Jkg−13.4\times {10}^{5}J{kg}^{-1} and thermal conducting of insulation wall is 0.05W{m}^{-1}^{\circ}{C}^{-1})JEE Main/MCQ/Medium/Calorimetry
  61. 61A block of ice of mass 120g120g at temperature 0∘C0^{\circ}C is put in 300g300g of water at 25∘C25^{\circ}C. The xgxg of ice melts as the temperature of the water reaches 0∘C0^{\circ}C. The value of xx is
    [Use: Specific heat capacity of water     =4200Jkg−1K−1=4200J{kg}^{-1}{K}^{-1}, Latent heat of ice =3.5×105Jkg−1=3.5\times {10}^{5}J{kg}^{-1}]    JEE Main/Numerical/Medium/Calorimetry
  62. 62A cylinder of fixed capacity of 44.844.8 litres contains helium gas at standard temperature and pressure. The amount of heat needed to raise the temperature of gas in the cylinder by 20.0∘C20.0^{\circ}C will be (Given gas constant R=8.3JK−1mol−1R=8.3J{K}^{-1}{mol}^{-1})JEE Main/MCQ/Medium/Calorimetry
  63. 63A lead bullet penetrates into a solid object and melts. Assuming that 4040% of its kinetic energy is used to heat it, the initial speed of bullet is
    (Given, initial temperature of the bullet     =127∘C=127^{\circ}C,
    Melting point of the bullet     =327∘C=327^{\circ}C,
    Latent heat of fusion of lead     =2.5×104Jkg−1=2.5\times {10}^{4}J{kg}^{-1},
    Specific heat capacity of lead     =125JkgK−1=125Jkg{K}^{-1})    JEE Main/MCQ/Medium/Calorimetry
  64. 64A geyser heats water flowing at a rate of 2.0kg2.0kg per minute from 30∘C30^{\circ}C to 70∘C70^{\circ}C. If geyser operates on a gas burner, the rate of combustion of fuel will be _____ gmin⁡−1g{\min }^{-1}.
    [Heat of combustion     =8×103Jg−1=8\times {10}^{3}{Jg}^{-1}, Specific heat of water =4.2Jg−1C∘−1=4.2{Jg}^{-1}{C^{\circ}}^{-1}]    JEE Main/Numerical/Medium/Calorimetry
  65. 65A copper block of mass 5.0kg5.0kg is heated to a temperature of 500∘C500^{\circ}C and is placed on a large ice block. What is the maximum amount of ice that can melt?
    [Specific heat of copper :     0.39Jg−1C∘−10.39{Jg}^{-1}{C^{\circ}}^{-1} and latent heat of fusion of water : 335Jg−1335{Jg}^{-1}]    JEE Main/MCQ/Medium/Calorimetry
  66. 66A steam engine intakes 50g50g of steam at 100∘C100^{\circ}C per minute and cools it down to 20∘C20^{\circ}C. If latent heat of vaporization of steam is 540calg−1540cal{g}^{-1}, then the heat rejected by the steam engine per minute is _____ ×103cal\times {10}^{3}cal
    (Given : specific heat capacity of water :     1calg−1C∘−11cal{g}^{-1}{C^{\circ}}^{-1})    JEE Main/Numerical/Medium/Calorimetry
  67. 67A 100g100g of iron nail is hit by a 1.5kg1.5kg hammer striking at a velocity of 60ms−160{ms}^{-1}. What will be the rise in the temperature of the nail if one fourth of energy of the hammer goes into heating the nail ? [Specific heat capacity of iron =0.42Jg−1C∘−1=0.42{Jg}^{-1}{C^{\circ}}^{-1}]JEE Main/MCQ/Medium/Calorimetry
  68. 68Due to cold weather, a 1m1m water pipe of cross-sectional area 1cm21{cm}^{2} is filled with ice at −10∘C.-10^{\circ}C. Resistive heating is used to melt the ice. Current of 0.5A0.5A is passed through 4kΩ4k\Omega resistance. Assuming that all the heat produced is used for melting, what is the minimum time required?
    (Given latent heat of fusion for water/ice    =3.33×105Jkg−1,=3.33\times {10}^{5}J{kg}^{-1}, specific heat of ice =2\times {10}^{3}J{kg}^{-1}^{\circ}{C}^{-1} and density of ice =103kgm−3)={10}^{3}kg{m}^{-3})    JEE Main/MCQ/Medium/Calorimetry
  69. 69The temperature of equal masses of three different liquids x,yx,y and zz are 10∘C,20∘C10^{\circ}C,20^{\circ}C and 30∘C30^{\circ}C respectively. The temperature of mixture when xx is mixed with yy is 16∘C16^{\circ}C and that when yy is mixed with zz is 26∘C26^{\circ}C. The temperature of mixture when xx and zz are mixed will be :JEE Main/MCQ/Medium/Calorimetry
  70. 70A container is divided into two chambers by a partition. The volume of first chamber is 4.5litre4.5litre and second chamber is 5.5litre5.5litre. The first chamber contain 3.03.0 moles of gas at pressure 2.0atm2.0atm and second chamber contain 4.04.0 moles of gas at pressure 3.0atm3.0atm. After the partition is removed and the mixture attains equilibrium, then, the common equilibrium pressure existing in the mixture is x×10−1atmx\times {10}^{-1}atm. Value of xx (nearest integer) isJEE Main/Numerical/Medium/Calorimetry
  71. 71A calorimeter of water equivalent 20g20g contains 180g180g of water at 25∘C25^{\circ}C. m′′m''' grams of steam at 100∘C100^{\circ}C is mixed in it till the temperature of the mixture is 31∘C31^{\circ}C. The value of m′′m'' is close to (Latent heat of water=540calg−1=540cal{g}^{-1}, specific heat of water=1calg−1∘C−1=1cal{g}^{-1^{\circ}}{C}^{-1})JEE Main/MCQ/Medium/Calorimetry
  72. 72Three containers C1,C2{C}_{1},{C}_{2} and C3{C}_{3} have water at different temperatures. The table below shows the final temperature TT when different amounts of water (given in liters) are taken from each container and mixed (assume no loss of heat during the process)



    C1{C}_{1}
    C2{C}_{2}
    C3{C}_{3}
    TT




    1l1l
    2l2l
    −−--
    60oC{60}^{o}C


    −−--
    1l1l
    2l2l
    30oC{30}^{o}C


    2l2l
    −−--
    1l1l
    60oC{60}^{o}C


    1l1l
    1l1l
    1l1l
    θ\theta



    The value of     θ\theta (in oC{}^{o}C to the nearest integer) is___________    JEE Main/Numerical/Medium/Calorimetry
  73. 73MM grams of steam at 100oC{100}^{o}C is mixed with 200g200g of ice at its melting point in a thermally insulated container. If it produces liquid water at 40oC{40}^{o}C [heat of vaporization of water is 540cal/g540cal/g and heat of fusion of ice is 80cal/g80cal/g ], the value of MM is ________JEE Main/Numerical/Medium/Calorimetry
  74. 741kg1kg of water, at 20∘C20^{\circ}C is heated in an electric kettle whose heating element has a mean (temperature averaged) resistance of 20Ω.20 \Omega . The rms voltage in the mains is 200V200V. Ignoring heat loss from the kettle, time taken for water to evaporate fully is close to
    [ Specific heat of water     =4200J{kg}^{-1}^{\circ}{C}^{-1} Latent heat of water =2260kJkg−1=2260kJk{g}^{-1} ]    JEE Main/MCQ/Medium/Calorimetry
  75. 75When M1{M}_{1} gram of ice at −10oC-{10}^{o}C (specific heat =0.5calg−1℃−1=0.5cal{g}^{-1}{℃}^{-1} ) is added to M2{M}_{2} gram of water at 50oC,{50}^{o}C, finally no ice is left and the water is at 0oC{0}^{o}C . The value of latent heat of ice, in calg−1cal{g}^{-1} is:JEE Main/MCQ/Medium/Calorimetry
  76. 76Two identical beakers AA and BB contain equal volumes of two different liquids at 60∘C60^{\circ}C each and left to cool down. Liquid in AA has density of 8×102kgm−38\times {10}^{2}kg{m}^{-3} and specific heat of 2000Jkg−1K−12000Jk{g}^{-1}{K}^{-1} while the liquid in BB has density 103kgm−3{10}^{3}kg{m}^{-3} and specific heat of 4000Jkg−1K−14000Jk{g}^{-1}{K}^{-1}. Which of the following best describes their temperature versus time graph schematically? (assume the emissivity of both the beakers to be the same)JEE Main/MCQ/Medium/Calorimetry
  77. 77A thermally insulated vessel contains 150g150g of water at 0∘C0^{\circ}C . Then the air from the vessel is pumped out adiabatically. A fraction of water turns into ice and the rest evaporates at 0∘C0^{\circ}C itself. The mass of evaporated water will be closest to: (Latent heat of vaporization of water =2.10×106Jkg−1=2.10\times {10}^{6}Jk{g}^{-1} and Latent heat of Fusion of water =3.36×105Jkg−1=3.36\times {10}^{5}Jk{g}^{-1} )JEE Main/MCQ/Medium/Calorimetry
  78. 78Ice at −20∘C-20^{\circ} \mathrm{C} is added to 50 g50 \mathrm{~g} of water at 40∘C40^{\circ} \mathrm{C}, When the temperature of the mixture reaches 0∘C,0^{\circ} \mathrm{C}, it is found that 20 g\mathrm{g} of ice is still unmelted. The amount of ice added to the

    water was close to (Specific heat of water     =4.2 J/g/∘C=4.2 \mathrm{~J} / \mathrm{g} /{ }^{\circ} \mathrm{C}

    Specific heat of Ice     =2.1 J/g/∘C=2.1 \mathrm{~J} / \mathrm{g} /{ }^{\circ} \mathrm{C}

    Heat of fusion of water at     0∘C=334 J/g)\left.0^{\circ} \mathrm{C}=334 \mathrm{~J} / \mathrm{g}\right)    JEE Main/MCQ/Medium/Calorimetry
  79. 79In an experiment, a sphere of aluminium of mass 0.20kg0.20kg is heated up to 150∘C150^{\circ}C . Immediately, it is put into water of volume 150cc150ccat 27oC{27}^{o}C kept in a calorimeter of water equivalent to0.025kg0.025kg . The final temperature of the system is 40oC{40}^{o}C . The specific heat of the aluminium is(take 4.2Joule=1calorie4.2Joule=1calorie )JEE Main/MCQ/Medium/Calorimetry
  80. 80A copper ball of mass 100g100 \text{g} is at a temperature TT. It is dropped in a copper calorimeter of mass 100g,100 \text{g,} filled with 170g170 \text{g} of water at room temperature. Subsequently, the temperature of the system is found to be 75∘C75^{\circ}C. TT is given by:
    (Given: room temperature     =30∘C=30^{\circ}C, specific heat of copper =0.1cal{g}^{-1}^{\circ}{C}^{-1})    JEE Main/MCQ/Medium/Calorimetry
  81. 81An experiment takes 10min⁡10\min to raise the temperature of water in a container from 0oC{0}^{o}C to 100oC{100}^{o}C and another 55min⁡55\min to convert it totally into steam by a heater supplying heat at a uniform rate. Neglecting the specific heat of the container and taking specific heat of the water to be 1cal(g∘C)−11cal{\left({g}^{^{\circ}}C\right)}^{-1} , the heat of vaporization according to this experiment will come out to be:JEE Main/MCQ/Medium/Calorimetry
  82. 82Water of volume 2 L in a closed container is heated with a coil of 1 kW. While water is heated, the container loses energy at a rate of 160 J/s. In how much time will the temperature of water rise from 27oC to 77oC ? (Specific heat of water is 4.2 kJ/kg and that of the container is negligible).JEE Main/MCQ/Medium/Calorimetry
  83. 83A mass of 50 g50 \mathrm{~g} of water in a closed vessel, with surroundings at a constant temperature takes 2 minutes to cool from 30∘C30^{\circ} \mathrm{C} to 25∘C25^{\circ} \mathrm{C}. A mass of 100 g100 \mathrm{~g} of another liquid in an identical vessel with identical surroundings takes the same time to cool from 30∘C30^{\circ} \mathrm{C} to 25∘C25^{\circ} \mathrm{C}. The specific heat of the liquid is :
    (The water equivalent of the vessel is     30 g30 \mathrm{~g}.)    JEE Main/MCQ/Medium/Calorimetry
  84. 84500 g500 \mathrm{~g} of water and 100 g100 \mathrm{~g} of ice at 0∘C0^{\circ} \mathrm{C} are in a calorimeter whose water equivalent is 40 g.10 g40 \mathrm{~g} .10 \mathrm{~g} of steam at 100∘C100^{\circ} \mathrm{C} is added to it. Then water in the calorimeter is : (Latent heat of ice =80cal/g=80 \mathrm{cal} / \mathrm{g}, Latent heat of steam =540cal/g=540 \mathrm{cal} / \mathrm{g} )JEE Main/MCQ/Medium/Calorimetry
  85. 85Given that 1 g1 \mathrm{~g} of water in liquid phase has volume 1 cm31 \mathrm{~cm}^3 and in vapour phase 1671 cm31671 \mathrm{~cm}^3 at atmospheric pressure and the latent heat of vaporization of water is 2256 J/g2256 \mathrm{~J} / \mathrm{g}; the change in the internal energy in joules for 1 g1 \mathrm{~g} of water at 373 K373 \mathrm{~K} when it changes from liquid phase to vapour phase at the same temperature is :JEE Main/MCQ/Medium/Calorimetry
  86. 86100 g100 \mathrm{~g} of water is heated from 30∘C30^{\circ} \mathrm{C} to 50∘C50^{\circ} \mathrm{C}. Ignoring the slight expansion of the water, the change in its internal energy is (specific heat of water is 4148 J/kg/K4148 \mathrm{~J} / \mathrm{kg} / \mathrm{K} ):JEE Main/MCQ/Medium/Calorimetry
  87. 87Heat given to a body which raises its temperature by 1∘C1^{\circ} \mathrm{C} isJEE Main/MCQ/Medium/Calorimetry
  88. 88Rods xx and yy of equal dimensions but of different materials are joined as shown in figure. Temperatures of end points AA and FF are maintained at 100∘C100^{\circ} \mathrm{C} and 40∘C40^{\circ} \mathrm{C} respectively. Given the thermal conductivity of rod⁡x\operatorname{rod} x is three times of that of rod⁡y\operatorname{rod} y, the temperature at junction points BB and EE are (close to):
    JEE Main/MCQ/Medium/Conduction/With diagram
  89. 89Two cylindrical rods A and B made of different materials, are joined in a straight line. The ratio of lengths, radii and thermal conductivities of these rods are :
    LALB=12,rArB=2\frac{\mathrm{L}_{\mathrm{A}}}{\mathrm{L}_{\mathrm{B}}}=\frac{1}{2}, \frac{\mathrm{r}_{\mathrm{A}}}{\mathrm{r}_{\mathrm{B}}}=2 and KAKB=12\frac{\mathrm{K}_{\mathrm{A}}}{\mathrm{K}_{\mathrm{B}}}=\frac{1}{2}. The free ends of rods A and B are maintained at 400 K,200 K400 \mathrm{~K}, 200 \mathrm{~K}, respectively. The temperature of rods interface is ________ K, when equilibrium is established.    JEE Main/Numerical/Medium/Conduction
  90. 90Three conductors of same length having thermal conductivity k1,k2\mathrm{k}_1, \mathrm{k}_2 and k3\mathrm{k}_3 are connected as shown in figure.



    Area of cross sections of     1st 1^{\text {st }} and 2nd 2^{\text {nd }} conductor are same and for 3rd 3^{\text {rd }} conductor it is double of the 1st 1^{\text {st }} conductor. The temperatures are given in the figure. In steady state condition, the value of θ\theta is
    _______     ∘C{ }^{\circ} \mathrm{C}.
    (Given :     k1=60Js−1 m−1 K−1,k2=120Js−1 m−1 K−1,k3=135Js−1 m−1 K−1\mathrm{k}_1=60 \mathrm{Js}^{-1} \mathrm{~m}^{-1} \mathrm{~K}^{-1}, \mathrm{k}_2=120 \mathrm{Js}^{-1} \mathrm{~m}^{-1} \mathrm{~K}^{-1}, \mathrm{k}_3=135 \mathrm{Js}^{-1} \mathrm{~m}^{-1} \mathrm{~K}^{-1} )    JEE Main/Numerical/Medium/Conduction/With diagram
  91. 91Two conductors have the same resistances at 0∘C0^{\circ}C but their temperature coefficients of resistance are α1{\alpha }_{1} and α2{\alpha }_{2}. The respective temperature coefficients for their series and parallel combinations are :JEE Main/MCQ/Medium/Conduction
  92. 92Two plates A and B have thermal conductivities 84Wm−1K−184W{m}^{-1}{K}^{-1} and 126Wm−1K−1126W{m}^{-1}{K}^{-1} respectively. They have same surface area and same thickness. They are placed in contact along their surfaces. If the temperatures of the outer surfaces of A and B are kept at 100∘C{100}^{^{\circ}}C and 0∘C{0}^{^{\circ}}C respectively, then the temperature of the surface of contact in steady state is_____ C∘C^{\circ}.JEE Main/Numerical/Medium/Conduction
  93. 93Two metallic wires of identical dimensions are connected is series. If σ1{\sigma }_{1} and σ2{\sigma }_{2} are the conductivities of the these wires respectively, the effective conductivity of the combination is :JEE Main/MCQ/Medium/Conduction
  94. 94If K1{K}_{1} and K2{K}_{2} are the thermal conductivities L1{L}_{1} and L2{L}_{2} are the lengths and A1{A}_{1} and A2{A}_{2} are the cross sectional areas of steel and copper rods respectively such that K2K1=9,A1A2=2,L1L2=2\dfrac{{K}_{2}}{{K}_{1}}=9,\dfrac{{A}_{1}}{{A}_{2}}=2,\dfrac{{L}_{1}}{{L}_{2}}=2. Then, for the arrangement as shown in the figure. The value of temperature TT of the steel - copper junction in the steady state will be
    JEE Main/MCQ/Medium/Conduction/With diagram
  95. 95As per the given figure, two plates AA and BB of thermal conductivity KK and 2K2K are joined together to form a compound plate. The thickness of plates are 4.0cm4.0cm and 2.5cm2.5cm respectively and the area of cross-section is 120cm2120{cm}^{2} for each plate. The equivalent thermal conductivity of the compound plate is (1+5α)K\left(1+\dfrac{5}{\alpha }\right)K, then the value of α\alpha will be _____ .
    JEE Main/Numerical/Medium/Conduction/With diagram
  96. 96Resistance of the wire is measured as 2Ω2\Omega and 3Ω3\Omega at 10∘C10^{\circ}C and 30∘C30^{\circ}C respectively. Temperature coefficient of resistance of the material of the wire isJEE Main/MCQ/Medium/Conduction
  97. 97Two metallic blocks M1{M}_{1} and M2{M}_{2} of same area of cross-section are connected to each other (as shown in figure). If the thermal conductivity of M2{M}_{2} is KK then the thermal conductivity of M1{M}_{1} will be : [Assume steady state heat conduction]
    JEE Main/MCQ/Medium/Conduction/With diagram
  98. 98A rod CDCD of thermal resistance 10.0KW−110.0{KW}^{-1} is joined at the middle of an identical rod ABAB as shown in figure. The ends A,BA,B and DD are maintained at 200∘C,100∘C200^{\circ}C,100^{\circ}C and 125∘C125^{\circ}C respectively. The heat current in CDCD is PWPW. The value of PP is
    JEE Main/Numerical/Medium/Conduction/With diagram
  99. 99Two identical metal wires of thermal conductivities K1{K}_{1} and K2{K}_{2} respectively are connected in series. The effective thermal conductivity of the combination is:JEE Main/MCQ/Medium/Conduction
  100. 100The temperature θ\theta at the junction of two insulating sheets, having thermal resistances R1{R}_{1} and R2{R}_{2} as well as top and bottom temperatures θ1{\theta }_{1} and θ2{\theta }_{2} (as shown in figure) is given by :
    JEE Main/MCQ/Medium/Conduction/With diagram
  101. 101Two materials having coefficients of thermal conductivity 3K3K and KK and thickness dd and 3d3\text{d} respectively, are joined to form a slab as shown in the figure. The temperatures of the outer surfaces are θ2{\theta }_{2} and θ1{\theta }_{1} respectively, (θ2>θ1).\left({\theta }_{2}\gt {\theta }_{1}\right). The temperature at the interface is

    JEE Main/MCQ/Medium/Conduction/With diagram
  102. 102A cylinder of radius RR is surrounded by a cylindrical shell of inner radius RR and outer radius 2R2R. The thermal conductivity of the material of the inner cylinder is K1{K}_{1} and that of the outer cylinder is K2{K}_{2}. Assuming no loss of heat, the effective thermal conductivity of the system for heat flowing along the length of the cylinder is:JEE Main/MCQ/Medium/Conduction
  103. 103A heat source at T=103KT={10}^{3}K is connected to another heat reservoir at T=102KT={10}^{2}K by a copper slab which is 1m1m thick. Given that the thermal conductivity of copper is 0.1WK−1m−10.1W{K}^{-1}{m}^{-1}, the energy flux through it in the steady-state is:JEE Main/MCQ/Medium/Conduction
  104. 104Temperature difference of 120oC{120}^{o}C is maintained between two ends of a uniform rod ABAB of length 2L.2L. Another bent rod PQ,PQ, of same cross-section as ABAB and length 3L2,\dfrac{3L}{2}, is connected across ABAB (See figure). In steady state, temperature difference between PP and QQ will be close to:
    JEE Main/MCQ/Medium/Conduction/With diagram
  105. 105Three rods of Copper, Brass and Steel are welded together to form a Y-shaped structure. Area of cross-section of each rod is 4cm24{cm}^{2}. End of copper rod is maintained at 100∘C100^{\circ}C. Where as ends of brass and steel are kept at 0∘C0^{\circ}C. Lengths of the copper, brass and steel rods are 46,1346,13and 12cms12cms respectively. The rods are thermally insulated from surroundings except at ends. Thermal conductivities of copper, brass and steel are 0.92,0.260.92,0.26 and 0.120.12 CGS units respectively. Rate of heat flow through copper rod is :JEE Main/MCQ/Medium/Conduction
  106. 106A large cylindrical rod of length LL is made by joining two identical rods of copper and steel of length (L2)\left(\frac{L}{2}\right) each. The rods are completely insulated from the surroundings. If the free end of copper rod is maintained at 100∘C100^{\circ} \mathrm{C} and that of steel at 0∘C0^{\circ} \mathrm{C} then the temperature of junction is (Thermal conductivity of copper is 9 times that of steel)JEE Main/MCQ/Medium/Conduction
  107. 107Two conductors have the same resistance at 0∘C0^{\circ} \mathrm{C} but their temperature coefficients of resistance are α1\alpha_1 and α2\alpha_2. The respective temperature coefficients of their series and parallel combinations are nearlyJEE Main/MCQ/Medium/Conduction
  108. 108A long metallic bar is carrying heat from one of its ends to the other end under steady-state. The variation of temperature θ\theta along the length xx of the bar from its hot end is best described by which of the following figure.JEE Main/MCQ/Medium/Conduction
  109. 109One end of a thermally insulated rod is kept at a temperature T1T_1 and the other at T2T_2. The rod is composed of two sections of lengths ℓ1\ell_1 and ℓ2\ell_2 and thermal conductivities k1k_1 and k2k_2 respectively. The temperature at the interface of the two sections is
    JEE Main/MCQ/Medium/Conduction/With diagram
  110. 110The figure shows a system of two concentric spheres of radii r1r_1 and r2r_2 and kept at temperatures T1T_1 and T2T_2 respectively. The radial rate of flow of heat in a substance between the two concentric sphere is proportional to
    JEE Main/MCQ/Medium/Conduction/With diagram
  111. 111The thermo emf of a thermocouple varies with the temperature θ\theta of the hot junction as E=aθ+bθ2\mathrm{E}=\mathrm{a} \theta+\mathrm{b} \theta^2 in volts where the ratio a/b\mathrm{a} / \mathrm{b} is 700∘C700^{\circ} \mathrm{C}. If the cold junction is kept at 0∘C0^{\circ} \mathrm{C}, then the neutral temperature isJEE Main/MCQ/Medium/Conduction
  112. 112The thermistors are usually made ofJEE Main/MCQ/Medium/Conduction
  113. 113The temperature of two outer surfaces of a composite slab, consisting of two materials having coefficients of thermal conductivity KK and 2K2 K and thickness xx and 4x4 x, respectively are T2T_2 and T1(T2>T1)T_1\left(T_2\gt T_1\right). The rate of heat transfer through the slab, in a steady state is (A(T2−T1)Kx)f\left(\frac{A\left(T_2-T_1\right) K}{x}\right) f, with ff equal to
    JEE Main/MCQ/Medium/Conduction/With diagram
  114. 114If θi\theta_i, is the inversion temperature, θn\theta_n is the neutral temperature, θc\theta_c is the temperature of the cold junction, thenJEE Main/MCQ/Medium/Conduction
  115. 115A wire of length 10 cm and diameter 0.5 mm is used in a bulb. The temperature of the wire is 1727∘C1727^{\circ} \mathrm{C} and power radiated by the wire is 94.2 W. Its emissivity is x8\frac{x}{8} where x=x=_______
    (Given     σ=6.0×10−8 W m−2 K−4,π=3.14\sigma=6.0 \times 10^{-8} \mathrm{~W} \mathrm{~m}^{-2} \mathrm{~K}^{-4}, \pi=3.14 and assume that the emissivity of wire material is same at all wavelength.)    JEE Main/Numerical/Medium/Radiation
  116. 116A cup of coffee cools from 90∘C90^{\circ} \mathrm{C} to 80∘C80^{\circ} \mathrm{C} in t minutes when the room temperature is 20∘C20^{\circ} \mathrm{C}. The time taken by the similar cup of coffee to cool from 80∘C80^{\circ} \mathrm{C} to 60∘C60^{\circ} \mathrm{C} at the same room temperature is :JEE Main/MCQ/Medium/Radiation
  117. 117Two spherical bodies of same materials having radii 0.2 m and 0.8 m are placed in same atmosphere. The temperature of the smaller body is 800 K and temperature of the bigger body is 400 K . If the energy radiated from the smaller body is E, the energy radiated from the bigger body is (assume, effect of the surrounding temperature to be negligible),JEE Main/MCQ/Medium/Radiation
  118. 118A body cools in 77 minutes from 60oC{60}^{o}C to 40oC{40}^{o}C. The temperature of the surrounding is 10oC{10}^{o}C. The temperature of the body after the next 77 minutes will beJEE Main/MCQ/Medium/Radiation
  119. 119Nearly 1010% of the power of a 110W110W light bulb is converted to visible radiation. The change in average intensities of visible radiation, at a distance of 1m1m from the bulb to a distance of 5m5m is a×10−2Wm−2a\times {10}^{-2}W{m}^{-2}. The value of 'aa' will beJEE Main/Numerical/Medium/Radiation
  120. 120A black coloured solid sphere of radius RR and mass MM is inside a cavity with a vacuum inside. The walls of the cavity are maintained at temperature T0{T}_{0}. The initial temperature of the sphere is 3T03{T}_{0}. If the specific heat of the material of the sphere varies as αT3\alpha {T}^{3} per unit mass with the temperature TT of the sphere, where α\alpha is a constant, then the time taken for the sphere to cool down to temperature 2T02{T}_{0} will be

    (    σ\sigma is Stefan Boltzmann constant)    JEE Main/MCQ/Medium/Radiation
  121. 121The heat radiated per unit area in 1 hour by a furnace whose temperature is 3000 K3000 \mathrm{~K} is (σ=5.7×(\sigma=5.7 \times 10−8 W m−2 K−410^{-8} \mathrm{~W} \mathrm{~m}^{-2} \mathrm{~K}^{-4} )JEE Main/MCQ/Medium/Radiation
  122. 122Assuming the sun to be a spherical body of radius R\mathrm{R} at a temperature of TK\mathrm{T} \mathrm{K}, evaluate the total radiant power, incident on Earth, at a distance rr from the Sun.JEE Main/MCQ/Medium/Radiation
  123. 123If the temperature of the sun were to increase from TT to 2T2 T and its radius from RR to 2R2 R, then the ratio of the radiant energy received on earth to what it was previously will beJEE Main/MCQ/Medium/Radiation
  124. 124The earth radiates in the infra-red region of the spectrum. The spectrum is correctly given byJEE Main/MCQ/Medium/Radiation
  125. 125Two spheres of the same material have radii 1 m1 \mathrm{~m} and 4 m4 \mathrm{~m} and temperatures 4000 K4000 \mathrm{~K} and 2000 K2000 \mathrm{~K} respectively. The ratio of the energy radiated per second by the first sphere to that by the second isJEE Main/MCQ/Medium/Radiation
  126. 126Which of the following is more closed to a black body?JEE Main/MCQ/Medium/Radiation

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