# The ratio of SI unit of universal gravitational constant to C.G.S unit is??

$\\ Sl \ unit \ of \ G \ is \frac{N m^{2}}{k g^{2}} \\ \\ CGS unit of G is \frac{d y n e c m^{2}}{g m^{2}} \\ \\ We know that 1 N=10^{5} dyne and 1 m =10^{2} cm and 1 kg =10^{3} gm \\ \\ So ratio of Sl unit to CGS unit =\frac{\frac{N m^{2}}{d y n e c m^{2}}}{g m^{2}}=\frac{\frac{10^{5} d y n e\left(10^{2} c m\right)^{2}}{\left(10^{3} g m\right)^{2}}}{\frac{d y n e c m^{2}}{g m^{2}}}=10^{3}$

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