A solid cylinder of density ρ_0 , cross-section area A and length l floats in a liquid of density ?

English

Gujarati

Hindi

13.Oscillations

medium

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

$2 \pi \sqrt{\frac{\rho_0 l}{\rho g}}$

C

$2 \pi \sqrt{\frac{\rho l}{\rho_0 g}}$

D

$2 \pi \sqrt{\frac{l}{2 g}}$

Solution

(b)

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

Standard 11

Physics

Share

Similar Questions

The length of a simple pendulum is increased by $2\%$. Its time period will

easy

(AIPMT-1997)

A simple pendulum is set up in a trolley which moves to the right with an acceleration a on a horizontal plane. Then the thread of the pendulum in the mean position makes an angle $\theta $ with the vertical

medium

Consider a pair of identical pendulums, which oscillate with equal amplitude independently such that when one pendulum is at its extreme position making an angle of $2^o$ to the right with the vertical, the other pendulum makes an angle of $1^o$ to the left of the vertical. What is the phase difference between the pendulums ?

hard

A simple pendulum is vibrating in an evacuated chamber, it will oscillate with

easy

The period of a simple pendulum, whose bob is a hollow metallic sphere, is $T$.The period is $T_1$ when the bob is filled with sand, $T_2$ when it is filled with mercury and $T_3$ when it is half filled with mercury. Which of the following is true

medium