Question

The SI unit of universal gravitational constant is

• A. $N{m}^2/k{g}^2$
• B. $Nk{g}^2/m^2$
• C. $Nkg{m}^2$
• D. $Nkg/m$

Answer 1

The correct option is A $N{m}^2/k{g}^2$

According to newton’s law of gravitation, the force between two mass particles of mass $m_{1}and{m}_2$ separated at distance 'R' is:

$F=G\frac{m_1{m}_2}{R}$

Here, G = Universal gravitational constant



$\Rightarrow G=\frac{F{R}^2}{m_1{m}_2}$

SI unit of $G=\frac{N{m}^2}{k{g}^2}$ (Since SI units of force, distance and mass are N, m and kg respectively)

Hence, the correct answer is option (a).