JEE Mains 27-July-2022 Shift 2 Solved Paper

Drift velocity =(‌

eτ

m

)E
vd=(‌

eτ

m

)(‌

∆V

ℓ

)
∆V= Potential difference applied across the wire
As temperature increases, relaxation time decreases, hence Vd decreases.
As per formula, Vd∝‌

1

ℓ

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=‌

V

R

=‌

V

ρℓ

A
vd=‌

V

ρℓ‌ ne ‌

‌‌(E=‌

V

ℓ

)
vd=‌

eE‌τ

m

τ decrease with temperature increase.
First and fourth statements are correct.