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Question

The equation of motion of a particle is x=acos(αt)2. The motion is

A
periodic but not oscillatory
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B
periodic and oscillatory
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C
oscillatory but not periodic
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D
neither periodic nor oscillatory.
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Solution

The correct option is B oscillatory but not periodic
The motion is oscillatory but not periodic because the oscillations are followed from the maximum displacement (negative extreme) at t=0, the corresponding echo is equal to π/2


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