Dimensional formula of universal gravitational constant $G$ is-
$M^{- 1} L^{3} T^{- 2}$
$M^{- 1} L^{2} T^{- 2}$
$M^{- 2} L^{3} T^{- 2}$
$M^{- 2} L^{2} T^{- 2}$

Question

Dimensional formula of universal gravitational constant G is-M-1-L-3T-2-M-1-L-2T-2-M-2-L-3T-2-M-2-L-2T-2-

Toppr Admin · Accepted Answer

Gravitational force acting between two objects of masses m1 and m2 separated by distance r- F-Gm1m2r2-x27F9- G-Fr2m1m2Thus dimensional formula of G is -MLT-x2212-2-L-2-M-2-x27F9- G-M-x2212-1L3T-x2212-2

Dimensional formula of universal gravitational constant G is-M−1L3T−2M−1L2T−2M−2L3T−2M−2L2T−2

Gravitational force acting between two objects of masses m1 and m2 separated by distance r, F=Gm1m2r2⟹ G=Fr2m1m2Thus dimensional formula of G is [MLT−2][L]2[M]2⟹ G=M−1L3T−2

Dimensional formula of universal gravitational constant $G$ is-
$M^{- 1} L^{3} T^{- 2}$
$M^{- 1} L^{2} T^{- 2}$
$M^{- 2} L^{3} T^{- 2}$
$M^{- 2} L^{2} T^{- 2}$

Gravitational force acting between two objects of masses $m_{1}$ and $m_{2}$ separated by distance $r$ , $F = \frac{G m_{1} m_{2}}{r^{2}}$
$⟹$ $G = \frac{F r^{2}}{m_{1} m_{2}}$
Thus dimensional formula of $G$ is $\frac{[M L T^{- 2}] [L]^{2}}{[M]^{2}}$
$⟹$ $G = M^{- 1} L^{3} T^{- 2}$