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JEE Mains · Physics · STD 11 - 7. gravitation

Two satellites \(S _{1}\) and \(S _{2}\) are revolving in circular orbits around a planet with radius \(R _{1}=3200 \,km\) and \(R _{2}=800\, km\) respectively. The ratio of speed of satellite \(S_{1}\) to the speed of satellite \(S_{2}\) in their respective orbits would be \(\frac{1}{ x }\) where \(x =\)

  1. A \(21\)
  2. B \(25\)
  3. C \(2\)
  4. D \(7\)
Verified Solution

Answer & Solution

Correct Answer

(C) \(2\)

Step-by-step Solution

Detailed explanation

\(V =\sqrt{\frac{ GM }{ r }}\) \(\Rightarrow \frac{ V _{1}}{ V _{2}}=\sqrt{\frac{800}{3200}}=\frac{1}{2}\)
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