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Previous Years Questions

MCQ (More than One Correct Answer)

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A student skates up a ramp that makes an angle 30$$^\circ$$ with the horizontal. He/she starts (as shown in the figure) ...
JEE Advanced 2020 Paper 2 Offline
A small particle of mass m moving inside a heavy, hollow and straight tube along the tube axis undergoes elastic collisi...
JEE Advanced 2019 Paper 2 Offline
A particle of mass $$m$$ is initially at rest at the origin. It is subjected to a force and starts moving along the $$x$...
JEE Advanced 2018 Paper 2 Offline
A flat plate is moving normal to its plane through a gas under the reaction of a constant force $$F.$$ The gas is kept a...
JEE Advanced 2017 Paper 1 Offline
A thin ring of mass 2 kg and radius 0.5 m is rolling without on a horizontal plane with velocity 1 m/s. A small ball of ...
IIT-JEE 2011 Paper 2 Offline
A force $$F = - K\left( {y\widehat i + x\widehat j} \right)$$ (where K is a positive constant) acts on a particle movin...
IIT-JEE 1998 Screening
A stone tied to a string of length L is whirled in a vertical circle with the other end of the string at the center. At ...
IIT-JEE 1998 Screening
A particle is acted upon by a force of constant magnitude which is always perpendicular to the velocity of the particle...
IIT-JEE 1987
A uniform chain of length L and mass M is lying on a smooth table and one third of its length is hanging vertically down...
IIT-JEE 1985
A body is moved along a straight line by a machine delivering constant power. The distance moved by the body in the time...
IIT-JEE 1984

Numerical

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A particle is moved along a path AB-BC-CD-DE-EF-FA, as shown in figure, in presence of a force $$F = (\alpha y\widehat i...
JEE Advanced 2019 Paper 1 Offline
A spring-block system is resting on a frictionless floor as shown in the figure. The spring constant is $$2.0\,N{m^{ - 1...
JEE Advanced 2018 Paper 1 Offline
Consider an elliptically shaped rail PQ in the vertical plane with OP = 3 m and OQ = 4 m. A block of mass 1 kg is pulled...
JEE Advanced 2014 Paper 1 Offline
A bob of mass m, suspended by a string of length l1 is given a minimum velocity required to complete a full circle in th...
JEE Advanced 2013 Paper 1 Offline
A particle of mass 0.2 kg is moving in one dimension under a force that delivers a constant power 0.5 W to the particle....
JEE Advanced 2013 Paper 1 Offline
A block of mass 0.18 kg is attached to a spring of force-constant 2 N/m. The coefficient of friction between the block a...
IIT-JEE 2011 Paper 2 Offline

MCQ (Single Correct Answer)

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In the List-$${\rm I}$$ below, four different paths of a particle are given as functions of time. In these functions, $...
JEE Advanced 2018 Paper 2 Offline
A particle of unit mass is moving along the x-axis under the influence of a force and its total energy is conserved. Fou...
JEE Advanced 2015 Paper 1 Offline
A tennis ball is dropped on a horizontal smooth surface. It bounces back to its original position after hitting the surf...
JEE Advanced 2014 Paper 2 Offline
The magnitude of the normal reaction that acts on the block at the point Q is
JEE Advanced 2013 Paper 2 Offline
The speed of the block when it reaches the point Q is
JEE Advanced 2013 Paper 2 Offline
The work done on a particle of mass m by a force $$$K\left[ {{x \over {{{\left( {{x^2} + {y^2}} \right)}^{3/2}}}}\wideha...
JEE Advanced 2013 Paper 1 Offline
A block of mass 2 kg is free to move along the x-axis. It is at rest and from t = 0 onwards, it is subjected to a time-d...
IIT-JEE 2010 Paper 2 Offline
A piece of wire is bent in the shape of a parabola y = kx2 (y-axis vertical) with a bead of mass m on it. The bead can s...
IIT-JEE 2009
A particle is acted by a force F = kx, where k is a +ve constant. Its potential energy at x = 0 is zero. Which curve cor...
IIT-JEE 2004 Screening
If W1, W2 and W3 represent the work done in moving a particle from A to B along three different paths 1, 2 and 3 respect...
IIT-JEE 2003 Screening
An ideal spring with spring-constant k is hung from the ceiling and a block of mass M is attached to its lower end. The ...
IIT-JEE 2002 Screening
A wind-powered generator converts wind energy into electrical energy. Assume that the generator converts a fixed fractio...
IIT-JEE 2000 Screening
A spring of force-constant k is cut into two pieces such that one piece is double the length of the other. Then the long...
IIT-JEE 1999 Screening
A particle of mass m is moving in a circular path of constant radius r such that its centripetal acceleration $${a_c}$$ ...
IIT-JEE 1994
Two masses of 1gm and 4 gm are moving with equal kinetic energies. The ratio of the magnitude of their linear momentum i...
IIT-JEE 1980
If a machine is lubricated with oil
IIT-JEE 1980

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