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Universal Law of Gravitation

S.I. Unit of ...

Question

S.I. Unit of universal gravitational constant $G$ is-

\frac{N m^{2}}{K g}

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\frac{N m^{2}}{K g^{2}}

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\frac{N m}{K g^{2}}

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\frac{N m}{K g}

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Solution

The correct option is B $\frac{N m^{2}}{K g^{2}}$
Gravitational force between two objects of mass $m_{1}$ and $m_{2}$ separated by a distance $r$ , $F = \frac{G m_{1} m_{2}}{r^{2}}$
$⟹$ $G = \frac{F r^{2}}{m_{1} m_{2}}$
SI unit of universal gravitational constant $G$ is $\frac{N m^{2}}{K g^{2}}$ .

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