Physics - SHM Question with Solution | TestHub

The periodic time of a pendulum is given by $$\begin{array}{rl}& \mathrm{T}=2\pi \sqrt{\frac{\ell }{\mathrm{g}}}\\ & \therefore \mathrm{T}\propto \sqrt{\ell }\end{array}$$ Hence to increase the periodic time, length has to be increased. The periodic time is independent of mass and amplitude.