A seconds pendulum is mounted in a rocket. Its period of oscillation will increase when the rocket i

Question

A seconds pendulum is mounted in a rocket. Its period of oscillation will increase when the rocket is

Professor PC Thomas Classes · Answer

(a) : The period of oscillation is given by $T = 2\pi\sqrt{\frac{l}{g_{eff}}}$. The time period $T$ will increase when the effective acceleration $g_{eff}$ decreases. When the rocket moves downwards with a uniform acceleration $a$, the effective acceleration becomes $g_{eff} = g - a$, which is less than $g$. Thus, the time period increases.