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COMEDK · Physics · 19. Current Electricity

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

  1. A \(1: 3\)
  2. B \(1: 9\)
  3. C \(1: 1\)
  4. D \(9: 1\)
Verified Solution

Answer & Solution

Correct Answer

(C) \(1: 1\)

Step-by-step Solution

Detailed explanation

The drift velocity \(v_d\) of electrons in a conductor is given by the formula \(v_d = \dfrac{eE\tau}{m}\), where \(E\) is the electric field, \(e\) is the charge of an electron, \(\tau\) is the relaxation time, and \(m\) is the mass of the electron. The electric field \(E\) is…