For a simple harmonic motion in a mass spring system shown, the s… - Vidyadip

MCQ

For a simple harmonic motion in a mass spring system shown, the surface is frictionless. When the mass of the block is $1\,kg$, the angular frequency is $\omega_1$. When the mass block is $2\,kg$ the angular frequency is $\omega_2$. The ratio $\omega_2 / \omega_1$ is

A
$\sqrt{2}$
✓
$\frac{1}{\sqrt{2}}$
C
$2$
D
$\frac{1}{2}$

✓

Answer

Correct option: B.

$\frac{1}{\sqrt{2}}$

b
$\omega=\sqrt{\frac{ k }{ m }}$

$\frac{\omega_2}{\omega_1}=\sqrt{\frac{ m _1}{ m _2}}=\sqrt{\frac{1}{2}}$

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