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Question

A body is moving in a room with a velocity of 20m/s perpendicular to the two walls separated by 5meters. There is no friction and the collisions with the walls are elastic. The motion of the body is


A
periodic but not simple harmonic
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B
periodic and simple harmonic
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C
not periodic
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D
periodic with variable time period
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Solution

The correct option is A periodic but not simple harmonic

Body collides elastically with walls of room. So, there will be no loss in its energy, and it will remain colliding with walls of room, so its motion will be periodic. But here, there is no restoring force. So, the characteristics of SHM will not be satisfied.
There is no change in energy of the body, hence there is no acceleration, so its motion is not SHM.
Final answer: (b)

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