MHT CET 2023 Physics question
A rectangular block of mass 'm' and cross-sectional area A, floats on a liquid of density ''. It is given a small vertical displacement from equilibrium, it starts oscillating with frequency 'n' equal to (g = acceleration due to gravity)
Answer: (A)
Solution
If the block is pushed down by a small distance , an extra volume is submerged and the extra buoyant force is , which is a restoring force of the form with effective force constant . This is simple harmonic motion with
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