The acceleration due to gravity on earth of radius Re is ge and that on moon of radius Rm…

Physics · JEE Main · NTA ExamsGravitation

The acceleration due to gravity on earth of radius Re is ge and that on moon of radius Rm is gm. The ratio of the masses of the earth and the moon is given by
  1. \(\frac{g_{p}}{g_{m}} \cdot \sqrt{\frac{R_{p}}{R_{n}}}\)
  2. \(\frac{g_{c}}{g_{m}} \cdot \frac{R_{e}}{R_{m}}\)
  3. \(\frac{g_{s}}{g_{m}} \cdot \frac{R_{s}^{2}}{R_{m}^{2}}\)
  4. \(\frac{g_{k}^{2}}{g_{m}^{2}} \cdot \frac{R_{e}}{R_{m}}\)

Answer

(C) g_ s g_ m R_ s ^ 2 R_ m ^ 2

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