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AIIMS 2007
Exam
AIIMS
Year
2007
Subject
Physics
Chapter
Gravitation

AIIMS 2007 · Physics · Gravitation

Height of geostationary satellite is

Height of geostationary satellite is

Options

  1. A(16000 \mathrm{~km})
  2. B(22000 \mathrm{~km})
  3. C(28000 \mathrm{~km})
  4. D(36000 \mathrm{~km})

Correct answer

D. (36000 \mathrm{~km})

Step-by-step solution

The principle of the geostationary satellite is its period of rotation is the same as that of the earth. (−GMmr2+\frac{-G M m}{r^2}+m \omega^2 r=0) i.e. (\frac{G M}{(R+h)^2}=\left(\frac{2 \pi}{T}\right)^2(R+h)) hh works out to (36000  km\mathrm{~km}).
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