The dimensions of universal gravitational constant are Options: A . &nbspM−2L2T−2 B . &nbspM−1L3T−2 C . &nbspML−1T−2 D . &nbspML2T−2

Answer: Option B : B F= G m 1 m 2 d 2 ⇒ G = F d 2 m 1 m 2 ∴ [ G ] = [ M L T − 2 ] [ L 2 ] [ M 2 ] = [ M − 1 L 3 T − 2 ]

The dimensions of universal gravitational constant are

Question

The dimensions of universal gravitational constant are

Options:

A . M−2L2T−2

B . M−1L3T−2

C . ML−1T−2

D . ML2T−2

Answer: Option B
:
B
F=

\frac{G m_{1} m_{2}}{d^{2}} \Rightarrow

G =

\frac{F d^{2}}{m_{1} m_{2}}

∴ [G] = \frac{[M L T^{- 2}] [L^{2}]}{[M^{2}]} = [M^{- 1} L^{3} T^{- 2}]

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