Question

The dimension of the universal constant of gravitation \(G\) is
(A) \(\left[\mathrm{ML}^{2} \mathrm{~T}-1\right]\)
(B) \(\left[\mathrm{M}^{-1} \mathrm{~L}^{3} \mathrm{~T}^{-2}\right]\)
(C) \(\left[\mathrm{M}^{-1} \mathrm{~L}^{2} \mathrm{~T}^{-2}\right]\)
(D) \(\left[\mathrm{ML}^{3} \mathrm{~T}-2\right]\)

Answer 1

Ans: (B)
$$
[G]=\left[\frac{F r^{2}}{m_{1} m_{2}}\right]=\left[\frac{M L T L^{2}}{M^{2}}\right]=\left[M L^{2} T^{-2}\right]
$$

Answer 2

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Answer 3

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