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A large number of identical elastic balls are moving randomly inside a fixed vertical cylindrical...

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A large number of identical elastic balls are moving randomly inside a fixed vertical cylindrical container under a piston that is at a height h 1 0 m above the bottom of the container The container is kept inside a gravity free chamber Root mean square speed of the balls is of the order of 102 m s and mean collision time of the balls is of the order of 10 s The piston is suddenly made to move upwards with a constant velocity u 1 0 m s and stopped at a height 2h above the bottom of the container Find ratio of total internal energy of the balls in the new steady state to that of initial state

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