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Q.

If the resistivity of copper is 1.7×106 Ω cm, then the mobility of electrons in copper, if each atom of copper contributes one free electron for conduction, is [The atomic weight of copper is 63.54 and its density is 8.96 g/cc]:

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a

503.03cm2 /Vs

b

88.0cm2 /Vs

c

23.36cm2 /Vs

d

43.25cm2 /Vs

answer is C.

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Detailed Solution

Mobility of electron μ=σne-(1)
also resistivity ρ=1σ
From Eqs. (i) and (ii) , we get μ=1neρ
Here, n = number of free electrons per unit volume 
n=N0×d atomic weight n=6.023×1023×8.9663.54=8.5×1022
From Eqs. (iii) and (iv) , we get 
μ=18.5×1022×1.6×1019×1.7×106μ=43.25cm2/Vs

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