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Q. 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

Mechanical Properties of Fluids

Solution:

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 $\times \rho_{\text {cube }} \times g$
So, increasing it will not have any effect on the immersed volume.