First slide

Fluid statics

Question

A cubical block is floating in a liquid with half of its volume immersed in the liquid. When the whole system accelerates upwards with acceleration of $\frac{g}{3}$ , the fraction of volume immersed in the liquid will be

Moderate

A

$\frac{1}{2}$
B

$\frac{3}{8}$
C

$\frac{2}{3}$
D

$\frac{3}{4}$

Solution

Fraction of volume immersed in the liquid $V_{in} = (\frac{ρ}{σ}) V$ i.e., it depends upon the densities of the block and liquid.
So there will be no change in it if system moves upward or downward with constant velocity or some acceleration.

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