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Question: Answered & Verified by Expert

In a conductor, if the number of conduction electrons per unit volume is 8.5×1028  m-3 and mean free time is 25fs (femto second), it’s approximate resistivity is: me=9.1×10-31kg

 

PhysicsCurrent ElectricityJEE MainJEE Main 2019 (09 Apr Shift 2)
Options:
  • A 10-7Ω m
  • B 10-6Ω m
  • C 10-5Ω m
  • D 10-8Ω m
Solution:
2994 Upvotes Verified Answer
The correct answer is: 10-8Ω m
We know i=neAvd
i=VR=VAρl=EAρ
ρ=EAi=EAneAvd
Drift velocity can be written as vd=eEmeτ
ρ=EAmeneAeEτ=mene2τ
=9.1×10-318.5×1028×1.6×10-192×25×10-15
1.65×10-8 Ω m

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