An insulating pipe of cross-sectional area `A` contains an electrolyte which has two types of ions: their charges being `-e` and `+ 2e`. A potential difference applied between the ends of the pipe result in the drifting of the two types of ions, having drift speed `= v` (- ve ion) and `v//4` (+ ve ion). Both ions have the same number per unit volume `= n`. The current flowing through the pipe is

Options

A. `(1)/(2) n e v A`
B. `(1)/(5) n e v A`
C. `(5)/(2) n e v A`
D. `(3)/(2) n e v A`

Answer

D

Explanation

(d) `i= n e v_(d) A, I = (2 n e v A)/(4) - (- n e vA) = (3)/(2) n e v A`