The value G is CGS system is `6.67xx10^(-8)` dyne `cm^(2)g^(-2)`. Calcualte the value in SI units.

Explanation

As `F=G(m_(1)m_(2))/(r^(2))`
`G=(F.r^(2))/(m_(1)m_(2))`
`[G=(MLT^(-2)L^(2))/(MM)=M^(-1)L^(3)T^(-2)`
`therefore a=-1, b=3, c=-2`

`therefore n_(2)=n_(1)[(M_(1))/(M_(2))]^(a)[(L_(1))/(L_(2))]^(h)[(T_(1))/(T_(2))]^(c )`
`=6.67xx10^(-8)[(1)/(1000)]^(-1)[(1)/(100)]^(3)[(1)/(1)]^(-2)`
`=6.67xx10^(-11)`
Hence in SI units,
`G=6.67xx10^(-11)Nm^(2)kg^(-2)`