The time period of a satellite is 5 h . If the separation between the earth and the satellite is inc

Question

The time period of a satellite is 5 h . If the separation between the earth and the satellite is increased 4 times from the previous value, the new time period will be

Professor PC Thomas Classes · Answer

By Kepler's third law $T^2 \propto R^3$. If $R$ becomes $4R$, $T$ becomes $T 	imes 4^{3/2} = 5 	imes 8 = 40 \mathrm{~h}$.