ExamBro
ExamBro
AP EAMCET · PHYSICS · Gravitation

If the time period of revolution of a satellite is \(T\). then its kinetic energy is proportional to

  1. A \(\mathrm{T}^{-1}\)
  2. B \(\mathrm{T}^{-2}\)
  3. C \(\mathrm{T}^{-3}\)
  4. D \(\mathrm{T}^{-2 / 3}\)
Verified Solution

Answer & Solution

Correct Answer

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

Step-by-step Solution

Detailed explanation

The time period of satellite is \(\mathrm{T}=2 \pi \sqrt{\frac{\mathrm{R}^3}{\mathrm{GM}}} \Rightarrow \mathrm{R} \propto \mathrm{~T}^{\frac{2}{3}}\) \(\therefore\) Kinetic energy,…