Question

A solid cylinder of density $\rho_{0}$, cross-section area $A$ and length $l$ floats in a liquid of density $\rho\left(>\rho_{0}\right)$ with its axis vertical, as shown. If it is slightly displaced downward and released, the time period will be

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

Answer 1

Answer: (B)

The time period of a floating uniform cylinder is simply given as $R = l$