Question

The ratio of SI unit to CGS unit of G is

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

Answer 1

Answer: (A)

${10}^3$

SI unit of G is $\frac{N{m}^2}{k{g}^2}$.

CGS unit of G is $\frac{dynec{m}^2}{g{m}^2}$

We know that $1N={10}^{5}dyne$ and $1m={10}^{2}cm$ and $1kg={10}^{3}gm$

So ratio of SI unit to CGS unit $=\frac{\frac{N{m}^2}{k{g}^2}}{\frac{dynec{m}^2}{g{m}^2}}=\frac{\frac{{10}^{5}dyne({10}^{2}cm{)}^2}{({10}^{3}gm{)}^2}}{\frac{dynec{m}^2}{g{m}^2}}={10}^3$

Correct answer is option A.