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PhysicsNEET 2024Newton's law of gravitation, g and its variation

Gravitation

The mass of a planet is 110\dfrac{1}{10}th that of the earth and its diameter is half that of the earth. The acceleration due to gravity on that planet is:

  1. A.9.8 m s⁻²
  2. B.4.9 m s⁻²
  3. C.3.92 m s⁻²✓
  4. D.19.6 m s⁻²

Solution

g=GMR2g = \frac{GM}{R^2}. With M′=M/10M' = M/10 and R′=R/2R' = R/2: g′=g×110×4=0.4g=3.92g' = g \times \frac{1}{10} \times 4 = 0.4g = 3.92 m/s2m/s^{2}.

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