Physics - SHM Question with Solution | TestHub

Gravitational acceleration on the surface of planet of mass $M$ and radius $R$ is given by, $g=\frac{GM}{R^2}$ Gravitational acceleration on the surface of that planet with twice mass and radius will be, $g_p=\frac{G(2M)}{(2R{)}^2}=\frac{g_e}{2}$ The period of oscillation of a second's pendulum on earth, $T_e=2\pi \sqrt{\frac{l}{g_e}}=2\mathrm{s}$ The period of oscillation of a second's pendulum on planet, $T_p=2\pi \sqrt{\frac{l}{g_p}}=2\pi \sqrt{\frac{2l}{g_e}}=2\sqrt{2}\mathrm{s}$