Question

Time period of simple pendulum at a planet is 2 sec. Length of simple pendulum is 2 meter. Find the value of g at that planet (in m/s²)

(1) 2$\pi$²

(2) 9.8 m/s²

(3) 10 m/s²

(4) $\pi^2\over2$m/s²

Comments

Gravitation, acceleration due to gravity

Answer 1

Ans. (1) 2$\pi$²

Sol. $T=2\pi\sqrt{\ell\over g_\text{planet}}$

$\implies2=2\pi\sqrt{2\over g_\text{planet}}$

$\implies{1\over\pi^2}={2\over g_\text{planet}}$

$\implies$ g_planet = 2$\pi$² m/sec²