`E` denotes electric field in a uniform conductor, `I` corresponding current through it, `v_(d)` velocity of electrons and `P` denotes thermal power produced in the conductor, then which of the following graph is incorrect?

Options

A.
B.
C.
D.

Answer

C

Explanation

Electric field `(E) = V/L = (iR)/L = "ne"Av_(d).(rhoL)/A`
`rArr E = ("ne"Av_(d)rho)/A rArr E prop v_(d)` (straight line)
Power `(P) = i^(2)R = ((EA)/rho)^(2) R rArr P prop E^(2)` (parabola)
`P prop i^(2)` (parabola)
Therefore graph C is incorrect.