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>>Velocity and Acceleration in SHM
>> $If x , v and a denote the displacement,$

Question

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

$a^{2} T^{2} + 4 π^{2} v^{2}$

B

$\frac{a T}{x}$

C

$a T + 2 π v$

D

$\frac{a T}{v}$

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Solution

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Correct option is B)

$\frac{a T}{x} = \frac{ω ^{2} x T}{x} = \frac{4 π ^{2}}{T ^{2}} T = \frac{4 π ^{2}}{T} = c o n s t a n t$

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