According to Joule's law, if the potential difference across a conductor having a material of specific resistance remains constant, then the heat produced in the conductor is directly proportinal to

Options

A. `rho`
B. `rho^(2)`
C. `(1)/(sqrt (rho))`
D. `(1)/(rho)`

Answer

D

Explanation

(d) `P = (V^(2))/(R )` but `R = (rho l)/(A) implies P = (V^(2))/(rho l//A) = (AV^(2))/(rho l)` Since `(AV^(2))/(l)`
is constant as per given conditons so `P Prop (1)/(p)`.