Question

A cylinder of radius $R$, length $L$ and density $\rho$ floats upright in a fluid of density $\rho_0$. If it is given a small downward displacement of amplitude $x$, the time period of resulting undamped oscillation is

• A. $2\pi\sqrt{\frac{\rho_{0}g}{\rho L}}$
• B. $2\pi\sqrt{\frac{\rho g}{\rho_0 L}}$
• C. $2\pi\sqrt{\frac{\rho L}{\rho_{0} L}}$
• D. $2\pi\sqrt{\frac{\rho_{0} L}{\rho g}}$

Answer 1

Answer: (C)

$2\pi\sqrt{\frac{\rho L}{\rho_{0} L}}$

Answer 2

Answer (c) $2\pi\sqrt{\frac{\rho L}{\rho_{0} L}}$