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. 1A penguin of mass m stands at the right edge of a sled of mass 3m and legnth [IMAGE]. The sled lies onfrictionless ice. The penguin starts…Physics· Centre of Mass· Moderate· figure
2. 2A bullet of mass m hits the hanging block of mass M at its centre completely inelastically with a velocity v and gets embedded in it as…Physics· Collision· Moderate· figure
3. 3A body of mass m and radius R rolling horizontally without slipping at a speed v climbs a ramp to a height[IMAGE]. The rolling body can be.Physics· Rigid Body Dynamics· Moderate· figure
4. 4A uniform disc of radius R lies in the x-y plane, with its centre at origin. Its moment of inertia about z-axis is equal to its moment of…Physics· Rigid Body Dynamics· Moderate· figure
5. 5Mass of plank shown is 102.5 kg. If plank remains horizontal and slipping does not take place at any contact, Radius of uniform cylindrical…Physics· Rigid Body Dynamics· Tough· figure
6. 6A disc of radius R rolls on a horizontal surface with linear velocity V and angular velocity[IMAGE]. There is a point P on circumference of…Physics· Rigid Body Dynamics· Moderate· figure
7. 7A rod AB is free to rotate on a smooth horizontal plane about one of its end A which is hinged. Initially the rod is at rest and D and E…Physics· Rigid Body Dynamics· Moderate· figure
8. 8A uniformly thick wheel with moment of inertial I and radius R is free to rotate about its centre of mass (see figure). A massless string…Physics· Rigid Body Dynamics· Moderate· figure
9. 9The radius of gyration of a uniform rod of length [IMAGE], about an axis passing through a point [IMAGE] away fromthe centre of the rod,…Physics· Rigid Body Dynamics· Moderate· figure
10. 10In the below figure, a bob a mass m is tied by a massless string whose other end portion is wound on a fly wheel (disc) of radius r and…Physics· Rigid Body Dynamics· Moderate· figure
11. 11Mass per unit area of a circular disc of radius a depends on the distance r from its centre as [IMAGE] The moment of inertia of the disc…Physics· Rigid Body Dynamics· Moderate· figure
12. 12A thin walled hollow cylinder is closed from both the ends. The mass of the curved part is m and the mass of each circular part is also m.…Physics· Rigid Body Dynamics· Moderate· figure
13. 13A thin uniform rod of mass is hinged at one end. This rod is maintained in horizontal position by colliding very tiny balls each of mass…Physics· Rigid Body Dynamics· Moderate· figure
14. 14A particle of mass m is attached to an end of a uniform rod of mass [IMAGE] and length [IMAGE] which is suspended through its mid point by…Physics· Rigid Body Dynamics· Moderate· figure
15. 15In the figure (i) a disc of mass M(kg) and radius R(m) is rotating smoothly about a fixed vertical axis AB with angular speed 26 rad/s. A…Physics· Rigid Body Dynamics· figure
16. 16Four point mass, each of mass m are connected at a corner of a square of side by massless rods as shown in the figure. x and y axis are in…Physics· Rigid Body Dynamics· Moderate· figure
17. 17Two semicircular rings of linear mass densities each are joined to form a complete ring. The distance of the center of the mass of complete…Physics· Centre of Mass· Moderate· figure
18. 18A rocket is fired vertically from the surface of the earthwith a speed v. How far from the earth does the rocketgo before returning to the…Physics· Gravitation· Moderate· figure
19. 19A rod of length L has non-uniform linear mass density given by [IMAGE] where a and b are constants and[IMAGE]. The value of x for the…Physics· Centre of Mass· Moderate· figure
20. 20Two balls A and B having masses m kg. and2 m kg. moving with in opposite direction, collide head on. After collision A moves with a speed…Physics· Gravitation· Moderate· figure
21. 21Planet A has mass M and radius R. Planet B has half the mass and half the radius of Planet A. If the escape velocities from the Planets A…Physics· Gravitation· Moderate· figure
22. 22The time period of a satellite of earth is 5 hours.If the separation between the centre of earth and the satellite is increased to 4 times…Physics· Gravitation· Moderate· figure
23. 23One end of a straight uniform [IMAGE] long bar is pivoted on horizontal table. It is released from rest when itmakes an angle [IMAGE] from…Physics· Rigid Body Dynamics· Moderate· figure
24. 24A uniform disc of mass M and radius R, is resting on a table on its rim. The coefficient of frictionbetween disc and table is [IMAGE] Now…Physics· Rigid Body Dynamics· Moderate· figure