Question

The value of G is $6.67\times {10}^{-11}N{m}^{2}k{g}^{-2}$. Write down its value in CGS units.

Answer 1

1.We know that,

$$\begin{gathered} 1N={10}^{5}dyne \\ 1m=100cm={10}^{2}cm \\ 1kg=1000gm={10}^{3}gm \end{gathered}$$

2.Now putting these values in G, we get,

$$\begin{gathered} G=(6.67\times {10}^{-11})\left({10}^{5}dyne\right){\left({10}^{2}cm\right)}^2{\left({10}^{3}gm\right)}^{-2} \\ G=6.67\times {10}^{-11}\times {10}^5\times {10}^4\times {10}^{-6}\left(dynec{m}^{2}g{m}^{-2}\right) \\ =6.67\times {10}^{-8}dynec{m}^{2}g{m}^{-2} \end{gathered}$$

The value of G in the CGS system is $6.67\times {10}^{-8}dynec{m}^{2}g{m}^{-2}$.