Question

The value of universal gravitational cosntant G in CGS system is $6.67\times {10}^{-8}$ dyne ${cm}^2{gm}^{-2}$. Its value in SI system is :

• A. $6.67\times {10}^{-11}{Nm}^2{kg}^{-2}$
• B. $6.67\times {10}^{-5}{Nm}^2{kg}^{-2}$
• C. $6.67\times {10}^{-10}{Nm}^2{kg}^{-2}$
• D. $6.67\times {10}^{-9}{Nm}^2{kg}^{-2}$

Answer 1

The correct option is A $6.67\times {10}^{-11}{Nm}^2{kg}^{-2}$

$6.67\times {10}^{-3}dyne\frac{{cm}^2}{{gm}^2}\left(CGSunit\right)$

$\Rightarrow 6.67\times {10}^{-8}\times \left({10}^{-5}N\right)\times \frac{\left({10}^{-4}\right)m^2}{\left({10}^{-6}\right)k{g}^2}=6.67\times {10}^{-11}\frac{N{m}^2}{k{g}^2}$