MHT CET 2024 Physics question

PhysicsOscillationsMHT CET 2024

A piece of wood has length, breadth and height, 'a', 'b' and 'c' respectively. Its relative density is 'd'. It is floating in water such that the side 'a' is vertical. It is pushed down a little and released. The time period of S.H.M. executed by it is (g = acceleration due to gravity)

Answer: (D)

Solution

The block has height and horizontal cross-section . Mass ( = density of water). If pushed down by , extra buoyant force acts upwards, so the restoring force is , i.e. . Time period

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Question ID VK-096614