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MHT CET 2026 (13 May, Shift 2) · Other SHM Systems

Other SHM Systems question from MHT CET 2026 (13 May, Shift 2)

Q4MHT CET 2026 · 13 MAY · SHIFT 2Medium

Other SHM Systems

A wooden cube (density $d$ ) of side $L$ floats on a liquid of density $\rho$ with its upper and lower surfaces horizontal. If the cube is pushed slightly down and released, it performs S.H.M. of period $T$ . The value of $T$ is ( $g$ = acceleration due to gravity)

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Answer: (b)

$T = 2\pi\sqrt{\frac{m}{\rho A g}}$ with $m = dL^3$ , $A = L^2$ .
$T = 2\pi\sqrt{\frac{dL^3}{\rho L^2 g}} = 2\pi\sqrt{\frac{Ld}{\rho g}}$ , answer (b).

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