If G is the universal constant of gravitation and g is the acceleration due to gravity, then the dimensions of `(G)/(g)` are

Options

A. `L^()M^(1)T^(0)`
B. `L^(2)M^(-1)T^(0)`
C. `L^(-2)M^(1)T^(2)`
D. `L^(3)M^(-2)T^(1)`

Answer

B

Explanation

`[(G)/(g)]=[(L^(3)M^(-1)T^(-2))/(L^(1)M^(0)T^(-2))]=[L^(2)M^(-1)T^(0)]`