A conductor has a diameter of 1.00 mm and length 2.00m. if the resistance of the material is 0.1Ω, its resistivity is?

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A. 2.55 x 105 Ωm
B. 2.55 x 102 Ωm
C. 3.93 x 10-6 Ωm
D. 3.93 x 10-8 Ωm

Correct Answer:

Option D – 3.93 x 10-8 Ωm

Explanation

R = (1)/a, P = (R.a)/1 = (0.1 x 3.14)/2 (10-3/2)3
∴ P = (0.1 x 3.14 x 10-6)/2 x 4
= 0.3925 x 10-7 OR -3.930 X 10-8 Ωm

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