Practice/Question bank/JEE Main

JEE Main practice questions

NTA-style Physics, Chemistry and Maths MCQs with solutions. 2,688 questions in the bank.

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  1. 1A uniform rod of length L and mass M is placed on a smooth horizontal surface. The rod is hinged at the end A and is free to rotate in…Physics· Rigid Body Dynamics· Moderate· figure
  2. 2A particle of mass m is projected with a speed u from the ground at an angle [IMAGE] horizontal (x-axis). When it has reached its maximum…Physics· Collision· Moderate· figure
  3. 3The dependence of acceleration due to gravity g on the distance r from the centre of the earthassumed to be a sphere of radius R of…Physics· Collision· Moderate· figure
  4. 4A body A of mass m is moving in a circular orbit of radius R about a planet. Another body B of mass [IMAGE] collides with A with a velocity…Physics· Gravitation· Moderate· figure
  5. 5A uniform sphere of mass 500 g rolls without slipping on a plane horizontal surface with its centre moving at a speed of[IMAGE]. Its…Physics· Rigid Body Dynamics· Moderate· figure
  6. 6Two particles of equal mass m have respective initial velocities[IMAGE] and [IMAGE]. They collide completely inelastically. The energy lost…Physics· Collision· Moderate· figure
  7. 7A particle of mass m is dropped from a height h above the ground. At the same time another particle of the same mass is thrown vertically…Physics· Collision· Moderate· figure
  8. 8Consider a uniform rod of mass [IMAGE] and length [IMAGE] pivoted about its centre. A mass m moving withvelocity v making angle [IMAGE] to…Physics· Rigid Body Dynamics· Moderate· figure
  9. 9In the figure shown a parallel plate capacitor has a dielectric of width d/2 and dielectric constant K = 2.The other dimensions of the…Physics· Capacitance· Moderate· figure
  10. 10Consider a sphere of radius R which carries a uniform charge density$\rho$. If a sphere of radius$\frac{R}{2}$iscarved out of it, as shown,…Physics· Electrostatics· Moderate· figure
  11. 11The series combination of two batteries, both of the same emf 10V, but different internal resistance of20$\Omega$ and 5$\Omega$, is…Physics· Current Electricity· Moderate· figure
  12. 12Effective capacitance of parallel combination of two capacitors C1 and C2 is 10$\mu F$. When these capacitorsare individually connected to…Physics· Capacitance· Easy
  13. 13If finding the electric field using gauss law the formula$|\overset{\rightarrow}{E}| = \frac{q_{enc}}{\varepsilon_{0}|A|}$is applicable. In…Physics· Electrostatics· Moderate
  14. 14Three charged particles A, B and C with charges -4q, 2q and -2q are present on the circumference of acircle of radius d. The charged…Physics· Electrostatics· Moderate· figure
  15. 15The length of a potentiometer wire is 120 cm and it carries a current of 60 mA. For a cell of emf 5V and internal resistance of 20$\Omega$,…Physics· Current Electricity· Moderate· figure
  16. 16Two infinite planes each with uniform surface charge density $+ \sigma$ are kept in such a way that the anglebetween them is 30°. The…Physics· Electrostatics· Moderate· figure
  17. 17The current I_1 (in A) flowing through 1$\Omega$ resistor in the following circuit isPhysics· Current Electricity· Easy· figure
  18. 18[IMAGE] A parallel plate capacitor has plates of area A separated by distance between them. It is filled with adielectric which has a…Physics· Capacitance· Tough· figure
  19. 19In the figure, potential difference between A and B isPhysics· Current Electricity· Moderate· figure
  20. 20In the figure shown $C_{1} = 11\mu F$ and $C_{2} = 5\mu F$ then at steady statePhysics· Current Electricity· Moderate· figure
  21. 21n a meter bridge, the wire of length 1m has a non-uniform cross-section such that, the variation$\frac{dR}{d^{\mathcal{l}}}$ of its…Physics· Current Electricity· Moderate· figure
  22. 22The current (in A) flowing through battery is2n. Find the valuePhysics· Current Electricity· Moderate· figure
  23. 23Four resistances of [IMAGE] and [IMAGE] respectively in cyclic order to form Wheat stone's network. The resistance (in ohms) that is to be…Physics· Current Electricity· Moderate· figure
  24. 24The balancing length for a cell is 560 cm in a potentiometer experiment. When an external resistance of10[IMAGE] is connected in parallel…Physics· Current Electricity· Moderate· figure
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