Question

The SI unit of the universal gravitational constant $G$ is

• A. $Nm\, kg ^{-2}$
• B. $Nm ^{2} kg ^{-2}$
• C. $Nm ^{2} kg ^{-1}$
• D. $Nmkg ^{-1}$

Answer 1

Answer: (B)

SI unit of universal gravitational constant G is
We know $F =\frac{ GM _{1} M _{2}}{ R ^{2}}$
Here $M _{1}$ and $M _{2}$ are mass
$R =$ Distance between them $F =$ Force
$G =\frac{ FR ^{2}}{ M _{1} M _{2}}=\frac{ N - m ^{2}}{ kg ^{2}}$
So, Unit of $G = N - m ^{2} kg ^{-2}$