Practicing Success

Target Exam

CUET

Subject

Physics

Chapter

Gravitation

Question:

If the time of revolution of a satellite is T, then the potential energy will be proportional to : 

Options:

\(T^{-2/3}\)

\(\frac{1}{T}\)

\(\frac{1}{T^2}\)

\(\frac{1}{T^3}\)

Correct Answer:

\(T^{-2/3}\)

Explanation:

Velocity of satellite : \(v = \sqrt{\frac{GM}{r}}\)

Kinetic Energy : \(K.E. \propto v^2 \text{ and } v^2 \propto \frac{1}{r}\)

Also, Time period square: \(T^2 = r^3\)

\(\Rightarrow K.E. \propto T^{-2/3}\)