Question

The ratio of SI units to CGS units of G is

• A. ${10}^3$
• B. ${10}^2$
• C. ${10}^{-2}$
• D. ${10}^{-3}$

Answer 1

The correct option is A ${10}^3$

Gravitational constant is measured in $m^{3}k{g}^{-1}{s}^{-2}$ in SI units.

In CGS, unit is $c{m}^3{g}^{-1}{s}^{-2}={10}^{-6}\times {10}^3{m}^{3}k{g}^{-1}{s}^{-2}$

So, ratio of SI to CGS is $m^{3}k{g}^{-1}{s}^{-2}/{10}^{-3}{m}^{3}k{g}^{-1}{s}^{-2}={10}^3$