Question

The time period of revolution of satellites is T. The kinetic energy of the satellite is proportional to

• A. T
• B. $T^{-2}$
• C. $T^3$
• D. $T^{-3/2}$

Answer 1

The correct option is B $T^{-2}$

$\begin{array}{c}V=\sqrt{\frac{GM}{R}}\\ T=\frac{2\pi R\sqrt{R}}{\sqrt{2aM}}=\frac{2\pi R}{V}\\ =V^2\propto \frac{1}{T^2}\\ =K\propto \frac{1}{T^2}\\ =K\propto T^{-2}\\ Hence,\\ optionBiscorrectanswer.\end{array}$