Dimensional formula for the universal gravitational constant $G$ is

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

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M^{0} L^{0} T^{0}

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

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M^{- 1} L^{3} T^{- 1}

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Solution

The correct option is C $M^{- 1} L^{3} T^{- 2}$
Gravitational force acting between the two bodies $F = \frac{G m_{1} m_{2}}{r^{2}}$
$∴$ $G = \frac{F r^{2}}{m_{1} m_{2}}$
Dimensional formula for universal gravitational constant $G = \frac{[M L T^{- 2}] [L]^{2}}{[M]^{2}}$
$⟹$ $G = [M^{- 1} L^{3} T^{- 2}]$

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