A wooden cube (density of wood ' 3 ρ ') of side ' ℓ ' floats in a liquid of density ' r ' with its upper and lower surfaces horizontal. If the cube is pushed slightly d

Question

A wooden cube (density of wood ' 3 ρ ​ ') of side ' ℓ ' floats in a liquid of density ' r ' with its upper and lower surfaces horizontal. If the cube is pushed slightly down and released, it performs simple harmonic motion of period ' T '. Then, ' T ' is equal to :-

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Ans. (B) F net ​ = ρ A xg F net ​ = ρ Axg ⇒ 3 ρ ​ A ℓ g × a = ρ Axg ⇒ a = ℓ 3 x ​ time period = 2 π 3 g ℓ ​ ​

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