Question

Electrons drift with speed \( v_d \) in a conductor with potential difference \( V \) across its ends. If \( V \) is reduced to \( \frac{V}{2} \), their drift speed will become:

• A. \( \frac{v_d}{2} \)
• B. \( v_d \)
• C. \( 2 v_d \)
• D. \( 4 v_d \)

Hint:

Drift velocity is directly proportional to the potential difference. Halving the potential difference will halve the drift velocity.

Answer 1

The Correct Option is A

The drift velocity \( v_d \) is related to the potential difference \( V \) by the equation: \[ v_d \propto V. \] Thus, when the potential difference is halved, the drift velocity will also be halved: \[ v_d \rightarrow \frac{v_d}{2}. \]