JEE Main 2022PhysicsCurrent ElectricityMediumMCQ

JEE Main 2022 — Current Electricity Question with Solution

JEE Main 2022 (27 Jul Shift 2)

Question

A. The drift velocity of electrons decreases with the increase in the temperature of conductor.
B. The drift velocity is inversely proportional to the area of cross-section of given conductor.
C. The drift velocity does not depend on the applied potential difference to the conductor.
D. The drift velocity of electron is inversely proportional to the length of the conductor.
E. The drift velocity increases with the increase in the temperature of conductor.

Choose the correct answer from the options given below:

Choose an option

Show full solutionCorrect option: B
Correct answer
BA and D only

Step-by-step explanation

Drift velocity =eτmE

vd=eτmΔVl

ΔV= Potential difference applied across the wire As temperature increases, relaxation time decreases, hence Vd decreases.
As per formula, Vd∝1l

vd=I neA , as it is not mentioned that current is at steady state neither it is mentioned that n is constant for given conductor. So it can't be said that vd is inversely proportional to A.

I=neAvd=VR=VρlA

vd=eEτm

τ decrease with temperature increase.

First and fourth statements are correct.

vd=Vρlne  E=Vl

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About this question

This is a previous-year question from JEE Main 2022, covering the Current Electricity chapter of Physics. PrepSharp catalogues every PYQ from JEE Main with a verified answer key and step-by-step solution prepared by IIT alumni — so you can search by chapter, topic or year and revise efficiently.