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  • A cubical box is floating in a liquid with half of its volume immersed in the liquid. When the whole system accelerates upwards with acceleration of <img alt="\frac{g}{3}" src="https://entranc

A cubical box 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}, then fraction of volume immersed in the liquid will be

Option: 1

1/2


Option: 2

3/8


Option: 3

2/3


Option: 4

3/4


Answers (1)

best_answer

Let x be the fraction of volume immersed in first case and y the fraction in second case.

Then the first case, w=upthrust

or V \rho_{b}g=(x V) \rho_{l }g \text { or } x=\frac{\rho_b}{\rho_l}          ..(1)

In second case, 

Upthrust - Weight = mass x acceleration

(y v) \mathrm{P_{l}}(g+r / 3)-\left(V P_b\right) g=\left(V P_b\right)\left(\frac{g}{3}\right)

y=\frac{P_b}{P_l}       ....(2)

From equations (1) and (2)

x = y 

fraction does not change. 

 

Posted by

Divya Prakash Singh

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