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Question: Answered & Verified by Expert
The length of germanium rod is 0.928 cm and its area of cross-section is 1 mm2. If for germanium ni=2.5×1019 m-3, μh=0.15 m2 V-1 s-1, μe=0.35 m2 V-1 s-1 then resistivity is
PhysicsCommunication SystemTS EAMCETTS EAMCET 2021 (05 Aug Shift 1)
Options:
  • A 50 Ω cm
  • B 25 Ω cm
  • C 50 Ω mm
  • D 100 Ω m
Solution:
2758 Upvotes Verified Answer
The correct answer is: 50 Ω cm

Given data, l=0.928×10-2 m, A=1×10-6 m2, ni=2.5×1019 m3, μh=0.15 m2 V s-1 and μe=0.35 m2 V s-1,

First, recall the relation between mobility and conductivity, 

σ=μne=μh+μenie

σ=0.15+0.35×2.5×1019×1.6×10-19=2 mho m-1

We know that conductivity is the reciprocal of resistivity, 

ρ=1σ=12 Ω m=50 Ω cm.

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