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Questions  

A particle is executing a simple harmonic motion. Its maximum acceleration is α and maximum velocity is β. Then, its time period of vibration will be:

a
2πβα
b
β2α2
c
αβ
d
β2α

detailed solution

Correct option is A

Maximum velocity Vmax = Aω = β-------(i)maximum acceleration αmax = Aω2 = α-------(ii)Equation (ii) divided by (i) ω = ωβ  ⇒ 2πT = ωβT = 2πβα

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