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Two cylindrical bodies of masses $m_{1} = 120 g$ and $m_{2} = 300 g$ are ejected from a horizontal tube by a compressed spring which is not attached to either of the masses (figure). In which of the following cases is the velocity maximum (Friction is negligible)

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$m_{1}$ is allowed to be ejected and $m_{2}$ is fixed

Both are allowed to be ejected; velocity of $m_{2}$ is maximum.

$m_{1}$ is fixed and $m_{2}$ is allowed to be ejected.

both are allowed to be ejected; velocity of $m_{1}$ is maximum.

answer is B.

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Detailed Solution

$\frac{1}{2} m v^{2} = \frac{1}{2} k x^{2}$

$m$ minimum $\Rightarrow v_{m a x}$

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