Two identical conductors of lengths l and 3 l respectively are maintained at the same temperature. They are given potential differences in the ratio 1: 3 . The ratio of their drift velocities is

Step-by-step solution

The drift velocity v_d of electrons in a conductor is given by the formula v_d = eE m , where E is the electric field, e is the charge of an electron, is the relaxation time, and m is the mass of the electron. The electric field E is related to the potential difference V and length l by E = V l . Substituting this into the drift velocity formula, we get v_d = eV ml . For two conductors, the ratio of drift velocities is v_ d1 v_ d2 = V₁ l₁ l₂ V₂ . Given l₁ = l and l₂ = 3l , and the ratio of potential differences V₁