1
JEE Advanced 2019 Paper 2 Offline
MCQ (More than One Correct Answer)
+4
-1
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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 no friction and it is closed at one end by a flat surface while the other end is fitted with a heavy movable flat piston as shown in figure.

JEE Advanced 2019 Paper 2 Offline Physics - Work Power & Energy Question 10 English

When the distance of the piston from closed end is L = L0, the particle speed is v = v0. The piston is moved inward at a very low speed V such that $$V < < {{dL} \over L}{v_0}$$, where dL is the infinitesimal displacement of the piston. Which of the following statement(s) is/are correct?
A
After each collision with the piston, the particle speed increases by 2V.
B
If the piston moved inward by dL, the particle speed increases $$2v{{dL} \over L}$$.
C
The particle's kinetic energy increases by a factor of 4 when the piston is moved inward from L0 to 1/2 L0.
D
The rate at which the particle strikes the piston is v/L.
2
JEE Advanced 2018 Paper 2 Offline
MCQ (More than One Correct Answer)
+4
-1
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 $$K$$ changes with time as $$dK/dt = \gamma t,$$ where $$\gamma $$ is a positive constant of appropriate dimensions. Which of a positive constant of appropriate dimensions. Which of the following statement is (are) true?
A
The force applied on the particle is constant
B
The speed of the particle is proportional to time
C
The distance of the particle from the origin increases linearly with time
D
The force is conservative
3
JEE Advanced 2017 Paper 1 Offline
MCQ (More than One Correct Answer)
+4
-1
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 speed of the plate $$v$$ is much less than the average speed u of the gas molecules.

Which of the following options is /are true?
A
The pressure difference between the leading and trailing faces of the plate is proportional to uv
B
The resistive force experimenced by the plate is proportional to $$v$$
C
The plate will continue to move with constant non-zero acceleration, at all times
D
At a later time the external force $$F$$ balances the resistive force
4
IIT-JEE 2011 Paper 2 Offline
MCQ (More than One Correct Answer)
+4
-2

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 velocity 20 m/s in the opposite direction hits the ring at a height of 0.75 m and goes vertically up with velocity 10 m/s. Immediately after the collision,

IIT-JEE 2011 Paper 2 Offline Physics - Work Power & Energy Question 7 English

A
the ring has pure rotation about its stationary CM.
B
the ring comes to a complete stop.
C
friction between the ring and the ground is to the left.
D
there is no friction between the ring and the ground.
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