The change in internal energy of the mass of gas, when the volume changes from V to 2V at constant pressure P is ($\gamma$ is the ratio of specific heat at constant pressure to that of volume) ($\gamma = \dfrac{C_p}{C_v}$)

An ideal gas expands adiabatically ($\gamma = 1.5$). To reduce the r.m.s. velocity of the molecules 3 times the gas has to be expanded

A simple pendulum oscillates with an angular amplitude $\theta$. If the maximum tension in the string is twice the minimum tension then $\theta$ is

A spring executes S.H.M. with mass 10 kg attached to it. The force constant of spring is 10 N/m. If at any instant its velocity is 40 cm/s, the displacement at that instant is
(Amplitude of S.H.M. is 0.5 m)