Two pendulums having lengths $1.0 \ m$ and $1.21 \ m$ start oscillating simultaneously in the same phase. They will again come in the same phase after how many oscillations of the smaller pendulum?

If the length of the pendulum in a pendulum clock increases by $0.1\, \%$,then the error in time per day is: (in $s$)

The bob of a simple pendulum of mass $m$ and total energy $E$ will have maximum linear momentum equal to

$A$ simple pendulum with length $100\,cm$ and bob of mass $250\,g$ is executing $S$.$H$.$M$. of amplitude $10\,cm$. The maximum tension in the string is found to be $\frac{x}{40}\,N$. The value of $x$ is $..........$.

$A$ chimpanzee swinging on a swing in a sitting position,stands up suddenly,the time period will

If $R$ is the radius of the earth and the acceleration due to gravity on the surface of the earth is $g = \pi^2 \ m/s^2$,then the length of the second's pendulum at a height $h = 2R$ from the surface of the earth will be: