What is the dimensional formula of gravitational constant?

[M L^{2} T^{- 2}]

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[M L^{- 1} T^{- 1}]

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[M^{- 1} L^{3} T^{- 2}]

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none of these

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Solution

The correct option is B $[M^{- 1} L^{3} T^{- 2}]$

$F = \frac{G . M . M}{L^{2}} = M L T^{- 2}$

$G = \frac{M L T^{- 2} L^{2}}{M^{2}} = M^{- 1} L^{3} T^{- 2}$

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M L^{- 1} T^{- 2}

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