A constant potential difference is applied between the ends of the wire. If the length of the wire is elongated 4 times, then the drift velocity of electrons will be

Question

A constant potential difference is applied between the ends of the wire. If the length of the wire is elongated 4 times, then the drift velocity of electrons will be (A) increases 4 times (B) decreases 4 times (C) increases 2 times (D) decreases 2 times

Tardigrade Admin · Accepted Answer

The drift velocity in inversely proportional to the length (I) of wire vd propto (1/1) (vd1/vd2)=(l2/l1)=(41/1) Here, l1 and l2 are the lengths of wire in two Conditions ⇒ vd1: vd2=4: 1

Q. A constant potential difference is applied between the ends of the wire. If the length of the wire is elongated $4$ times, then the drift velocity of electrons will be

increases 4 times

decreases 4 times

increases 2 times

decreases 2 times

The drift velocity in inversely proportional to the length $(I)$ of wire
$v_{d} \propto \frac{1}{1} \frac{v _{d_{1}}}{v _{d_{2}}} = \frac{l _{2}}{l _{1}} = \frac{41}{1}$
Here, $l_{1}$ and $l_{2}$ are the lengths of wire in two Conditions
$\Rightarrow v_{d_{1}} : v_{d_{2}} = 4 : 1$

Q. A constant potential difference is applied between the ends of the wire. If the length of the wire is elongated 4 times, then the drift velocity of electrons will be