In the expression $F = \frac{Gm_1m_2}{r^2}$, the dimensional formula of $G$ is:
A[M⁻¹L³T⁻²]
B[M⁻¹L²T⁻²]
C[ML³T⁻²]
D[M⁻¹L³T²]
Answer & Solution
Correct answer: A. [M⁻¹L³T⁻²]
From $F=\dfrac{Gm_1m_2}{r^2}$, we get $G=\dfrac{Fr^2}{m_1m_2}$. Since $[F]=[MLT^{-2}]$, multiplying by $[L^2]$ and dividing by $[M^2]$ gives $[M^{-1}L^3T^{-2}]$.
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