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A simple harmonic oscillation has an amp...

A simple harmonic oscillation has an amplitude `A` and time period `T`. The time required to travel from `x = A` to ` x= (A)/(2)` is

A

`T//6`

B

`T//4`

C

`T//3`

D

`T//12`

Text Solution

Verified by Experts

The correct Answer is:
A
Let `x=Acosomega t` `Rightarrow ` `(A)/(2)=Acosomegat_(1)` `Rightarrow` `omegat_(1)=(pi)/(3)` ` Rightarrow` `t_(1)=(pi)/(3pi)=(piT)/(3xx2pi)=(T)/(6)`.
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