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Standard XII

Physics

Newton's Law of Gravitation

The gravitati...

Question

The gravitational force between two particles separated by a distance r varies as ........

1 / r

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r

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r^{2}

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1 / r^{2}

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Solution

The correct option is D $1 / r^{2}$
Gravitational force $= \frac{G m_{1} m_{2}}{r^{2}}$

where $m_{1}$ and $m_{2}$ are the masses of the two bodies .

we observe that $m_{1}, m_{2}$ and G (gravitational constant) are constants

$⟹$ Gravitational force is inversely proportional to square of the distance between the two bodies

That is,

$G \propto \frac{1}{r^{2}}$

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The gravitational force between two particles separated by a distance r varies as ........

The correct option is D 1/r2Gravitational force =Gm1m2r2where m1 and m2 are the masses of the two bodies .we observe that m1,m2 and G (gravitational constant) are constants⟹ Gravitational force is inversely proportional to square of the distance between the two bodiesThat is,G∝1r2