The electric force between two electric charges is given by `F=k(q_(1)q_(2))/(r^(2))` where r is the distance between `q_(1) and q_(2)` . Give the dimensional formula of k.

Options

A. `M^(1)L^(2)T^(4)A^(2)`
B. `M^(1)L^(3)T^(-4)A^(-2)`
C. `M^(-1)L^(-3)T^(-4)A^(-2)`
D. `M^(-1)L^(-3)T^(4)A^(2)`

Explanation

`[k]=([F][r]^(2))/([q]^(2))=([M^(1)L^(1)T^(-2)][L^(1)]^(2))/([A^(1)T^(1)]^(2))=M^(1)L^(3)T^(-4)A^(-2)`