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AP EAMCET · PHYSICS · Gravitation

Using the data given below, find the height at which a communication satellite can reside. \(\left(G=6.67 \times 10^{-11} \mathrm{~N}-\mathrm{m}^2 \mathrm{~kg}^{-2}, M=5.98 \times 10^{24}\right.\) \(\mathrm{kg}, R=6.4 \times 10^6 \mathrm{~m}\) )

  1. A \(35850 \mathrm{~km}\)
  2. B \(3585 \mathrm{~km}\)
  3. C \(358.5 \mathrm{~km}\)
  4. D \(35.85 \mathrm{~km}\)
Verified Solution

Answer & Solution

Correct Answer

(A) \(35850 \mathrm{~km}\)

Step-by-step Solution

Detailed explanation

Given, \(G=6.67 \times 10^{-11} \mathrm{~N}-\mathrm{m}^2 \mathrm{~kg}^{-2}\) \(M=5.98 \times 10^{24} \mathrm{~kg}, R=6.4 \times 10^6 \mathrm{~m}\) For communication satellite, \(T=24 \mathrm{~h}=24 \times 60 \times 60 \mathrm{~s}=8.64 \times 10^4 \mathrm{~s}\) We know that, time…