Sarthaks Test
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A cubical block of density ρ is floating on the surface of water. Out of its height L, fraction x is submerged in water. The vessel is in an elevator accelerating upward with acceleration a . What is the fraction immersed?

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Let the density of water be ρw.

Then ρaL3 + ρL3g = ρwxL3(g + a)

x = (ρ / ρw)

Thus, the fraction of the block submerged is independent of any acceleration, whether gravity or elevator. 

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