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>> $The particle is executing S.H.M. on a li$

Question

The particle is executing $S . H . M .$ on a line $4 c m$ long. If its velocity at mean position is $12 c m / s e c$ , its frequency in $H z$ will be :

A

$\frac{2 π}{3}$

B

$\frac{3}{2 π}$

C

$\frac{π}{3}$

D

$\frac{3}{π}$

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Solution

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Correct option is D)

Amplitude $= 2 c m = A$
Velocity of SHM at mean position
$= A ω$
$\Rightarrow 12 = A ω$

$12 = 2 \times ω \Rightarrow ω = 6$

Frequency $= \frac{ω}{2 π}$

$\Rightarrow f = \frac{6}{2 π} = \frac{3}{π}$

$\Rightarrow f = \frac{3}{π}$
Option D.

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