A pendulum is suspended in a lift and its period of oscillation when the lift is stationary is  $T_0$. What must be the acceleration of the lift for the period of oscillation of the  pendulum to be $T_0/2$ ?

For a simple pendulum the graph between $L$ and $T$ will be.

Two simple pendulums whose lengths are $100 cm$ and $121 cm$ are suspended side by side. Their bobs are pulled together and then released. After how many minimum oscillations of the longer pendulum, will the two be in phase again

A simple pendulum is placed at a place where its distance from the earth's surface is equal to the radius of the earth. If the length of the string is $4 \mathrm{~m}$, then the time period of small oscillations will be ____ $s$. $\left[\right.$ take $\left.\mathrm{g}=\pi^2 \mathrm{~ms}^{-2}\right]$

A simple pendulum, suspended from the ceiling of a stationary van, has time period $T$. If the van starts moving with a uniform velocity the period of the pendulum will be

A simple pendulum is taken from the equator to the pole. Its period