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 man who can swim at the rate of $2km/hr$ (in still river) crosses a river to a point exactly opposite on the other bank by swimming at an…Physics· Relative motion· Easy· figure
  2. 2Two particle A and B are located in x-y plane at points (0, 0) and (0, 4 m). They simultaneously start moving with velocities.…Physics· Relative motion· Hard· figure
  3. 3In the system shown in figure mA = 4m, mB = 3m and mC = 8m. Friction is absent everywhere. String is light and inextensible. If the system…Physics· Newton's Laws of Motion· Tough· figure
  4. 4Starting from rest, a body slides down a $45^{\circ}$ inclined plane in twice the time it takes to slide down the same distance in the…Physics· Newton's Laws of Motion· Moderate
  5. 5A hinged construction consists of three rhombus with the ratio of sides (5: 3: 2). Vertex A3 moves in the horizontal direction with…Physics· Moderate· figure
  6. 6Initially the block is at rest acceleration of the block isPhysics· Newton's Laws of Motion· Moderate· figure
  7. 7A block of mass 10 kg is to be pulled on a horizontal rough surface (µ =0.75) the minimum magnitude of applied force isPhysics· Newton's Laws of Motion· Tough· figure
  8. 8A particle of mass m is released from point A and it stops at B find out the coefficient of frictionPhysics· Work Power & Energy· Moderate· figure
  9. 9The force exerted by a compression device is given by $F(x) = kx(x - \lambda)$ for $0 \leq x \leq \lambda$, where $\lambda$ is the maximum…Physics· Work Power & Energy· Moderate
  10. 10Under the action of a force, a 2 kg body moves such that its position x as a function of time is given by $x = t^{3}/3$,where xis in meters…Physics· Work Power & Energy· Moderate
  11. 11The potential energy of a particle varies with x according to the relation $U(x) = x^{2} - 4x$. The point x=2 is a point ofPhysics· Work Power & Energy· Moderate
  12. 12A block is moved very slowly from A to D with the help of a variable force on block which is always tangential to the surface of the fixed…Physics· Work Power & Energy· Moderate· figure
  13. 13A uniform thick rope of length 5m is kept on frictionless surface and a force of 5N is applied to one of its end. Find tension in the rope…Physics· Moderate· figure
  14. 14Find out velocity of block B in the given figure: (all the pulleys are ideal and string are inextensible massless)Physics· Newton's Laws of Motion· Tough· figure
  15. 15A block of mass 1 kg initially at rest is dropped from a height h on the a spring of force constant k=50N/m. The maximum compression in the…Physics· Work Power & Energy· Easy· figure
  16. 16A uniform rope of linear mass density $\lambda$ and length 1 is coiled on a smooth horizontal surface. One end is pulled up with constant…Physics· Work Power & Energy· Tough· figure
  17. 17A thin rod of length 1 m is kept vertical and is hinged from the lower end Its linear mass density varies with the distance (x) from the…Physics· Work Power & Energy· Moderate· figure
  18. 18A uniform sphere of weight w and radius 3 m is being held by a string of length 2 m. attached to a frictionless wall as shown in the…Physics· Newton's Laws of Motion· Moderate· figure
  19. 19Two men of masses m and m/2 starts climbing up on two massless strings fixed at the ceiling with acceleration g and g/2 respectively. The…Physics· Newton's Laws of Motion· Moderate· figure
  20. 20Two forces of 6 N and 3 N are acting on the two blocks of 2 kg and 1 kg kept on frictionless floor. The force exerted on 2 kg block by 1 kg…Physics· Newton's Laws of Motion· Moderate· figure
  21. 21System shown in figure is in equilibrium. The magnitude of change in tension in the string just before and just after, when one of the…Physics· Newton's Laws of Motion· Moderate· figure
  22. 22A force $\overrightarrow{F} = \left( 3t\widehat{i} + 5\widehat{j} \right)N$ acts on a body due to which its position varies as…Physics· Work Power & Energy· Moderate
  23. 23A frictionless track ABCDE ends in a circular loop of radius R. A body slides down the track from point A which is at height $h = 82cm$.…Physics· Work Power & Energy· Moderate· figure
  24. 24System is shown in the figure. Assume that cylinder remains in contact with the two wedges. The velocity of cylinder isPhysics· Newton's Laws of Motion· Tough· figure
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