MHT CET 2025 Physics question

A small metal sphere of density is dropped from height h into a jar containing liquid of density (). The maximum depth up to which the sphere sinks is (Neglect damping forces)

(A)
(B)
(C)
(D)Correct

Answer: (D)

Solution

Let the sphere have volume and sink to a maximum depth (where its speed becomes zero). Work-energy theorem from release to the lowest point: gravity does work , the buoyant force (upthrust) does work inside the liquid, and the net work is zero as the speed is zero at both ends:

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Question ID VK-100551