A pendulum clock keeps correct time on the surface of the Earth where

PHYSICS · Multi-part · CBSE · Physics · Oscillations · Oscillations

Problem

g_{\text E} = 9.80\,\text{m}\,\text{s}^{-2}

. The pendulum has a length such that its time period is exactly

2.00\,\text{s}

. (i) Calculate the length of the pendulum on the Earth. (ii) The same clock is taken to the Moon where

g_{\text M} = 1.63\,\text{m}\,\text{s}^{-2}

. To keep the same time period of

2.00\,\text{s}

, find the length the pendulum must have on the Moon. (iii) Compute the ratio

\dfrac{L_{\text M}}{L_{\text E}}

and comment briefly on whether the pendulum should be made longer or shorter on the Moon to keep the clock accurate.