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Question: Answered & Verified by Expert

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:

PhysicsCurrent ElectricityJEE MainJEE Main 2022 (27 Jul Shift 2)
Options:
  • A A and B only
  • B A and D only
  • C B and E only
  • D B and C only
Solution:
1917 Upvotes Verified Answer
The correct answer is: A and D only

Drift velocity =eτmE

vd=eτmΔVl

ΔV= Potential difference applied across the wire As temperature increases, relaxation time decreases, hence Vd decreases.
As per formula, Vd1l

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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