Question

Calculate the dimensions of universal gravitational constant. If its value is SI units is `6.67xx10^(11),` what will be its value is cgs system ?

Answer 1

`From = F = (Gm_1 m_2)/(r^2)`
`G =(F r^2)/(m_1 m_2) = (MLT^(-2)(L^2))/(M^2) = [M^(-1) L^3 T^(-2)]`
`G = 6.67xx10^(11) kg^(-1) m^3 s^(-2)`
`= 6.67xx10^(11) (10^3g)^(-1) (10^2cm)^3 s^(-2)`
`=6.67xx10^(14)g cm^3 s^(-2)`