A cubical block is floating in a liquid with one fourth of its volume immersed in liquid. If whole o

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9-1.Fluid Mechanics

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A cubical block is floating in a liquid with one fourth of its volume immersed in the liquid. If whole of the system accelerates upward with acceleration $g / 4$, the fraction of volume immersed in the liquid will be ..........

$1 / 4$

$1 / 2$

$3 / 4$

$2 / 3$

Solution

(a)

Upward acceleration just causes the acceleration due to gravity increases by some value, but since the term of ' $g$ ' gets cancelled out in the buoyancy equation.

Volume immersed $\times \rho_w \times g=$ Total volume $\times \rho_{\text {gabe }} \times g$

So, increasing it will not have any effect on the immersed volume.

Standard 11

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Solution

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