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The velocity v of a particle of mass m c...

The velocity v of a particle of mass m changes with time t as `d^2v/(dt)=-kv`, where k is constant. Now, which of the following statements is correct?

A

particle executes SHM with frequency `sqrtk/(2π)`

B

particle executes SHM with time period `2pi/k`

C

particle does not perform SHM

D

particle executes SHM with time period `T=2pisqrt(m/k)`

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