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MCQ (More than One Correct Answer)

JEE Advanced 2020 Paper 2 Offline
A student skates up a ramp that makes an angle 30$$^\circ$$ with the horizontal. He/she starts (as shown in the figure) at the bottom of the ramp with...
JEE Advanced 2019 Paper 2 Offline
A small particle of mass m moving inside a heavy, hollow and straight tube along the tube axis undergoes elastic collision at two ends. The tube has n...
JEE Advanced 2018 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 $$x$$-axis. Its kinetic energy $$K...
JEE Advanced 2017 Paper 1 Offline
A flat plate is moving normal to its plane through a gas under the reaction of a constant force $$F.$$ The gas is kept at a very low pressure. The spe...
IIT-JEE 2011 Paper 2 Offline
A thin ring of mass 2 kg and radius 0.5 m is rolling without on a horizontal plane with velocity 1 m/s. A small ball of mass 0.1 kg, moving with veloc...
IIT-JEE 1998 Screening
A force $$F = - K\left( {y\widehat i + x\widehat j} \right)$$ (where K is a positive constant) acts on a particle moving in the xy plane. Starting fr...
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 a certain instant of time, the...
IIT-JEE 1987
A particle is acted upon by a force of constant magnitude which is always perpendicular to the velocity of the particle. The motion of the particle t...
IIT-JEE 1985
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 over the edge of the table. I...
IIT-JEE 1984
A body is moved along a straight line by a machine delivering constant power. The distance moved by the body in the time t is proportional to

Numerical

JEE Advanced 2019 Paper 1 Offline
A particle is moved along a path AB-BC-CD-DE-EF-FA, as shown in figure, in presence of a force $$F = (\alpha y\widehat i + 2\alpha x\widehat j)$$ N, w...
JEE Advanced 2018 Paper 1 Offline
A spring-block system is resting on a frictionless floor as shown in the figure. The spring constant is $$2.0\,N{m^{ - 1}}$$ and the mass of the block...
JEE Advanced 2014 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 along the rail from P to Q wi...
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. If the initial speed (in m/s)...
JEE Advanced 2013 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 the vertical plane. At the highe...
IIT-JEE 2011 Paper 2 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 and the floor is 0.1. Initially...
IIT-JEE 2009 Paper 2 Offline
A light inextensible string that goes over a smooth fixed pulley as shown in the figure connects two blocks of masses 0.36 kg and 0.72 kg. Taking g = ...
IIT-JEE 2009 Paper 2 Offline
Three objects A, B and C are kept in a straight line on a frictionless horizontal surface. These have masses m, 2m and m, respectively. The object A m...

MCQ (Single Correct Answer)

JEE Advanced 2018 Paper 2 Offline
In the List-$${\rm I}$$ below, four different paths of a particle are given as functions of time. In these functions, $$\alpha $$ and $$\beta $$ are ...
JEE Advanced 2015 Paper 1 Offline
A particle of unit mass is moving along the x-axis under the influence of a force and its total energy is conserved. Four possible forms of the potent...
JEE Advanced 2014 Paper 2 Offline
A tennis ball is dropped on a horizontal smooth surface. It bounces back to its original position after hitting the surface. The force on the ball dur...
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 magnitude of the normal reaction that acts on the block at the point Q is
JEE Advanced 2013 Paper 1 Offline
The work done on a particle of mass m by a force $$$K\left[ {{x \over {{{\left( {{x^2} + {y^2}} \right)}^{3/2}}}}\widehat i + {y \over {{{\left( {{x^2...
IIT-JEE 2010 Paper 2 Offline
A block of mass 2 kg is free to move along the x-axis. It is at rest and from t = 0 onwards, it is subjected to a time-dependent force F(t) in the x-d...
IIT-JEE 2008 Paper 2 Offline
A block (B) is attached to two unstretched springs S1 and S2 with spring constants k and 4k respectively (see figure I). The other ends are attached t...
IIT-JEE 2008 Paper 2 Offline
A bob of mass M is suspended by a massless string of length L. The horizontal velocity V at position A is just sufficient to make it reach the point B...
IIT-JEE 2004 Screening
A particle is acted by a force F = kx, where k is a +ve constant. Its potential energy at x = 0 is zero. Which curve correctly represents the variatio...
IIT-JEE 2003 Screening
If W1, W2 and W3 represent the work done in moving a particle from A to B along three different paths 1, 2 and 3 respectively (as shown) in the gravit...
IIT-JEE 2002 Screening
An ideal spring with spring-constant k is hung from the ceiling and a block of mass M is attached to its lower end. The mass is released with the spri...
IIT-JEE 2000 Screening
A wind-powered generator converts wind energy into electrical energy. Assume that the generator converts a fixed fraction of the wind energy intercept...
IIT-JEE 1999 Screening
A spring of force-constant k is cut into two pieces such that one piece is double the length of the other. Then the long piece will have a force-const...
IIT-JEE 1994
A particle of mass m is moving in a circular path of constant radius r such that its centripetal acceleration $${a_c}$$ is varying with time t as $${a...
IIT-JEE 1980
Two masses of 1gm and 4 gm are moving with equal kinetic energies. The ratio of the magnitude of their linear momentum is
IIT-JEE 1980
If a machine is lubricated with oil
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