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If x, v and a denote the displacement, t...

If `x, v` and a denote the displacement, the velocity and the acceleration of a particle executing simple harmonic motion of time period `T`, then, which of the following does not change with time ?

A

`a^(2) T^(2) + 4pi ^(2) v^(2)`

B

`aT//x`

C

`aT + 2 pi v `

D

`aT//v`

Text Solution

Verified by Experts

The correct Answer is:
B
Acceleration `(a) = - omega^(2) x`
Since , `omega^(2) ` is a constant
Hence, `(a)/(x) ` is constant and T also constant
`:. (aT)/(x) ` = constant
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