The value of gravitation is `G = 6.67 xx 10^(-11)N-m^(2)/(kg^(2))` in SI units . Convert it into CGS system of units .

Options

A. `6.67xx10^(8)`
B. `6.67xx10^(-8)`
C. `5.67xx10^(-8)`
D. `5.67xx10^(8)`

Answer

B

Explanation

The dimensional formula of G is `[M^(-1)L^(3)T^(-2)]` The convert a physical quantity from one system of unit to other system of unit, We use the following formula `n_1[M_(1)^(-1)L_(1)^(-2)]=n_(2)[M_(2)^(-1)L_(2)^3T_(2)^(-2)]`
`n_(2)=n_(1)[(M_(1))/(M_(2))]^(-1)[(L_(1))/L_(2)]^(-2)[(T_(1))/(T_(2))]^(-2)` `n2=6.67xx10^-11[(1Kg)/(10^-3Kg)]^(-1)[(1m)/(10^(-2)m)]^3[(1s)/(1s)]^(-2)`
or`n2=6.67xx10^(-8)` Thus, value of G in CGS system of units is `6.67xx10^(-8)` dyne `cm^(2)//g^(2)`