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A cubical block is floating in a liquid with one third of its volume immersed in the liquid. When the whole system accelerates upwards with acceleration of $\frac{g}{2}$ , the fraction of volume immersed in the liquid will

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$\frac{1}{3}$

$\frac{3}{8}$

$\frac{2}{3}$

$\frac{3}{4}$

answer is A.

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Detailed Solution

Volume of body submerged when it is floating on a liquid does not change, if system is accelerated upwards. Hence fraction of volume immersed in liquid does not change. Hence, the fraction of volume immersed in the liquid will $\frac{1}{3}$ .

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