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When 5V potential difference is applied across a wire of length0.1 m, the drift speed of electrons is 2.5x104ms1 If theelectron density in the wire is 8x1028m 3, the resistivity of thematerial is close toJEE (Main) 2015)

Answer»

Given that the drift speed of the electrons is Vd = 2.5×10^−4 m/s, charge of the electron is e= 1.6×10^−19 C, electron density is n = 8.0×10^28 per m3.

So, the current in the wire is,I = neAVdI = (8.0×10^28)×(1.6×10^−19)×A×(2.5×10^−4)I = A{32×105} amp

Resistance of the wire is,

R=VI=5/(32×10^5×A) Ω

So the resistivity is,ρ = (A/l)*R= A/0.1×(5/32×10^5×A) = 5×10^−4/32⇒ρ=1.56×10^−5 Ω m

answer is 1.6*10^-5



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