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Physics

The relationship between g and G is :

  1. g = GMmR2\dfrac{GMm}{R^2}

  2. G = gmR2\dfrac{gm}{R^2}

  3. g = GMR2\dfrac{GM}{R^2}

  4. G = MR2g\dfrac{MR^2}{g}

Laws of Motion

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Answer

g = GMR2\dfrac{GM}{R^2}

Reason —

g = GMR2\dfrac{GM}{R^2}

where,

g = acceleration due to gravity

G = gravitational constant

m = mass of earth

R = radius of earth.

Hence, we can say that acceleration due to gravity (g) is directly proportional to universal gravitational constant (G).

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