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Q.

The value of quantity $G$ in the law of gravitation

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a

Depends on the mass of earth only

b

Depends on the radius of the earth only

c

Depends on both mass and radius of earth

d

Is independent of mass and radius of earth

answer is D.

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Detailed Solution

The value of quantity

G

in the law of gravitation is independent of mass and radius of earth.
According to the universal law of gravitation, “Every particle in the universe attracts every other particle with a force that is directly proportional to the product of their masses and inversely proportional to the square of their distance.” Mathematically,

F = \frac{G m_{1} m_{2}}{r^{2}}

Where

F

is the force between two bodies of mass

m_{1}

and

m_{2}

separated by distance

r

and

G

is the universal gravitational constant.
Since

G

is the universal gravitational constant, it is independent of the mass and radius of the earth.

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