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A cubical block is floating in a liquid with half of its volume immersed in the liquid. When the whole system accelerates upwards with a net acceleration of g/3. The fraction of volume immersed in the liquid will be

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1/2

answer is A.

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Detailed Solution

When the system is at rest,

$m_{B} g = ρ_{L} V_{i} g$

$\Rightarrow V_{i} = \frac{m_{B}}{ρ_{L}}$

When the system is accelerating,

$m_{B} (g + \frac{g}{3}) = ρ_{L} V_{i}^{'} (g + \frac{g}{3})$

$\Rightarrow V_{i}^{'} = \frac{m_{B}}{ρ_{L}}$

so, fraction of volume immersed does not change.

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