Practice/Question bank/JEE Main

JEE Main practice questions

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

1. 1Block A is given an acceleration $12{ms}^{- 2}$ towards left as shown in Figure. Assume block B always remains horizontal, find the…Physics· Newton's Laws of Motion· Moderate· figure
2. 2Two blocks of masses $M_{1}$ and $M_{2}$are connected to each other through a light spring as shown in figure. If we push mass $M_{1}$ with…Physics· Newton's Laws of Motion· Moderate· figure
3. 3In which of the following cases the magnitude of acceleration of the block A will be maximum (Neglect friction and mass of pulley and…Physics· Newton's Laws of Motion· Moderate
4. 4A uniform disc of mass m and radius R is resting on a smooth horizontal surface and it is free to rotateabout its own axis which is…Physics· Rigid Body Dynamics· Moderate· figure
5. 5A particle of mass 1 kg is thrown vertically upwards with speed 100 m/s. After 5s it explodes into twoparts. One part of mass 400g comes…Physics· Centre of Mass· Moderate
6. 6A thin rod having mass m and length 4[IMAGE] is free to rotate about horizontal axis passing through a point distant [IMAGE] from one of…Physics· Rigid Body Dynamics· Moderate· figure
7. 7When a person throws a meter stick it is found that the centre of the stick is moving with speed 10 m/s and left end of stick with speed…Physics· Rigid Body Dynamics· Easy· figure
8. 8Find the moment of inertia of a uniform rectangular plate of mass M, edges of length and about itsaxis passing through centre and…Physics· Rigid Body Dynamics· Easy· figure
9. 9One end of a uniform rod of mass m and length [IMAGE] is clamped. The rod lies on a smooth horizontalsurface and rotates on it about the…Physics· Rigid Body Dynamics· Easy· figure
10. 10A particle performs uniform circular motion with an angular momentum L. If thefrequency of particle's motion is doubled and its kinetic…Physics· Rigid Body Dynamics· Easy
11. 11A railway flat car has an artillery gun installed on it and contains shells for fring The combined system excluding shell has a mass M and…Physics· Centre of Mass· Moderate
12. 12A small sphere of mass 1 kg is moving with a velocity $(6\widehat{i} + \widehat{j})ms^{- 1}$. It hits a fixed smooth wall and rebound with…Physics· Centre of Mass· Moderate
13. 13A bar of mass M & length L is in pure translatory motion with its centre of mass velocity V. It collides with and sticks to a second…Physics· Rigid Body Dynamics· Moderate· figure
14. 14Two blocks of mass 10 kg and 4 kg are connected by a spring of negligible mass and are placed on a frictionless horizontal surface. An…Physics· Centre of Mass· Moderate· figure
15. 15A bead can slide on a smooth straight wire and a particle of mass m attached to the bead by a lightstring of length L. The particle is held…Physics· Centre of Mass· Moderate· figure
16. 16A uniform rod AB of mass m and length I at rest on a smooth horizontal surface. An impulse P is applied to the end B. The time taken by the…Physics· Rigid Body Dynamics· Tough
17. 17A sphere of mass m is given some angular velocity about a horizontal axis through its centre, andgently placed on a plank of mass m. The…Physics· Rigid Body Dynamics· Moderate· figure
18. 18A particle moving on a circular path travels first one third part of circumference in 2 sec & nextone third part in 1 sec. Average angular…Physics· Rigid Body Dynamics· Easy· figure
19. 19A disc has mass 30 kg and radius 1m. The moment of inertia in kgm^2about a tangent to its rim in itsplane is 7.5n. Find the value on n.Physics· Rigid Body Dynamics· Easy· figure
20. 20A constant torque acting on a uniform circular wheel changes its angular momentum from 10 J-sec to60 J-sec in 4 sec. The torque in Nm is…Physics· Rigid Body Dynamics· Easy
21. 21A projectile of mass 3 m is projected from ground with velocity $20\ \sqrt{2}$m/s at an angle of 45º. At highestpoint it explodes into two…Physics· Centre of Mass· Moderate· figure
22. 22The rod is uniform & weigh 500 N. Find magnitude of tension so that tension in both strings (S_1, S_2) aresame (strings ideal).Physics· Rigid Body Dynamics· Moderate· figure
23. 23A circular platform is free to rotate in a horizontal plane about a vertical axis passing through its centre. A tortoise is sitting at the…Physics· Rigid Body Dynamics· Tough· figure
24. 24A ball of mass M collides elastically with another identical ball at rest as shown in figure. Initially velocity of ball After collisionPhysics· Centre of Mass· Moderate· figure