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.

The electric force between two electric charges is given by F=k(q_(1)q

1.	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.
Answer» `M^(1)L^(2)T^(4)A^(2)` `M^(1)L^(3)T^(-4)A^(-2)` `M^(-1)L^(-3)T^(-4)A^(-2)` `M^(-1)L^(-3)T^(4)A^(2)` Solution :`[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)`