a quantity `X` is given by `epsilon_(0)L(DeltaV)/(Deltat)` where `in_(0)` is the permittivity of the free space, L is a length, `DeltaV` is a potential difference and `Deltat` is a time interval. The dimensinal formula for `X` is the same as that of

Options

A. resistance
B. voltage
C. charge
D. current

Answer

(d)

Explanation

`X = (in_0 IV)/(t)`
As `in_0 = (q_1q_2)/(F r^2) = ((AT)^2)/(ML^(-2). L^2) = [M^(-1) l^(-3) T^4 A^2]`
and `V = (W)/(Q) = (ML^2 T^(-2))/(AT) = [ML^2 T^(-3) A^(-1)]`
` :. X = ([M^(-1) l^(-3)T^4A^2]L[ML^2T^(-3) A^(-1)])/(T)`
`=[M^0 L^0 T^0 A^1] = current`