Properties Of Solids And Liquids Question 267

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 g/3, the fraction of volume immersed in the liquid will be

Options:

A)$ \frac{1}{2} $

B)$ \frac{3}{8} $

C)$ \frac{2}{3} $

D)$ \frac{3}{4} $

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Answer:

Correct Answer: A

Solution:

Fraction of volume immersed in the liquid $ V _{in}=\left( \frac{\rho }{\sigma } \right)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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