The time period of an earth satellite in circular orbit is independent of

The time period of an earth satellite in circular orbit is independent of
  1. the mass of the satellite
  2. radius of its orbit
  3. both the mass and radius of the orbit
  4. neither the mass of the satellite nor the radius of its orbit.

Solution

The time period of satellite is given by $ T=2 \pi \sqrt{\frac{(\mathrm{R}+\mathrm{h})^3}{\mathrm{GM}}} $ where, $\mathrm{R}+\mathrm{h}=$ radius of orbit satellite, $\mathrm{M}=$ mass of earth

Asked in: JEE Main 2004

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