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Standard XII

Physics

Young's Modulus of Elasticity

Two masses ...

Question

Two masses $m_{1}$ and $m_{2}$ are suspended from a massless spring of force constant K. When the masses are in equilibrium, $m_{1}$ is removed without disturbing the system. The angular frequency and amplitude of oscillation is

\sqrt{\frac{K}{m_{2}}}, \frac{m_{2} g}{K}

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\sqrt{\frac{K}{m_{2}}}, \frac{m_{1} g}{K}

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\sqrt{\frac{K}{m_{1}}}, \frac{m_{1} g}{K}

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\sqrt{\frac{K}{m_{1}}}, \frac{m_{2} g}{K}

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Solution

The correct option is B $\sqrt{\frac{K}{m_{2}}}, \frac{m_{1} g}{K}$
The angular frequency is given by
$ω = \sqrt{\frac{K}{m_{2}}}$ ( $m_{2}$ is oscillating)
Amplitude can be found out by
External Force=KA
$m_{1} g = K A$
Hence, option B is correct.

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Two masses m1 and m2 are suspended from a massless spring of force constant K. When the masses are in equilibrium, m1 is removed without disturbing the system. The angular frequency and amplitude of oscillation is

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Two masses $m_{1}$ and $m_{2}$ are suspended from a massless spring of force constant K. When the masses are in equilibrium, $m_{1}$ is removed without disturbing the system. The angular frequency and amplitude of oscillation is

The correct option is B $\sqrt{\frac{K}{m_{2}}}, \frac{m_{1} g}{K}$
The angular frequency is given by
$ω = \sqrt{\frac{K}{m_{2}}}$ ( $m_{2}$ is oscillating)
Amplitude can be found out by
External Force=KA
$m_{1} g = K A$
Hence, option B is correct.