Dimensions of resistence in an electrical circuit , in terms of dinestion of mass M of length l, of time T and of curent L would be

Options

A. `[ML^(2)T^(-3)I^(-1)]`
B. `[ML^(2)T^(-2)]`
C. `[ML^(2)T^(-1)I^(-1)]`
D. `[ML^(2)T^(-3)I^(-2)]`

Answer

d

Explanation

Resistence
` R = ("Potential difference")/("current") = (V)/(1) = (W)/(q1)`
[`:'` Potential differece ids equal to work done per unit change]
So, dimensions of B
`= (["Dimensions of work"])/(["Dimensions of change"]["Dimensions of current"])`
`= ([ML^(2)T^(-2)])/([IT][I]) = [ML^(-2)T^(-1)I^(-2)]`