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MHT CET · Physics · Gravitation

Two satellites P and Q go round a planet in circular orbits having radii ' \(3 R\) ' and ' \(R\) ' respectively. If the speed of satellite \(P\) is ' \(2 V\) ', the speed of the satellite Q will be

  1. A \(2 \sqrt{3} V\)
  2. B \(\frac{2 \mathrm{~V}}{\sqrt{3}}\)
  3. C \(\frac{\mathrm{V}}{2}\)
  4. D \(\frac{\mathrm{V}}{\sqrt{3}}\)
Verified Solution

Answer & Solution

Correct Answer

(A) \(2 \sqrt{3} V\)

Step-by-step Solution

Detailed explanation

\( v \propto \frac{1}{\sqrt{r}} \) \( v_Q = v_P \sqrt{\frac{r_P}{r_Q}} \)
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