A pendulum clock is running fast. To correct its time, we should
A pendulum clock is running fast. To correct its time, we should
reduced the mass of bob
reduce the amplitude of oscillation
increase the length of pendulum
reduce the length of the pendulum
Solution
The periodic time of a pendulum is given by
$\begin{aligned}
& \mathrm{T}=2 \pi \sqrt{\frac{\ell}{\mathrm{g}}} \\
& \therefore \mathrm{T} \propto \sqrt{\ell}
\end{aligned}$
Hence to increase the periodic time, length has to be increased. The periodic time is independent of mass and amplitude.
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