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Q.

A copper wire of radius 1 mm contains 1022 free electrons per cubic metre. The drift velocity for free electrons when 10 A current flows through the wire will be (Given, charge on electron = 1.6×1019C:

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a

6.25π×103ms1

b

6.25×104πms1

c

6.25πms1

d

6.25×105πms1

answer is B.

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Detailed Solution

Current (i) in a wire in terms of drift velocity
vd is given by ____
i = neAvd
n is no. of electrons per unit volume,
A = πr2 = area of cross section
vd=ineA=101022×1.6×1019π1032=1041.6π=6.25×103πms1

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A copper wire of radius 1 mm contains 1022 free electrons per cubic metre. The drift velocity for free electrons when 10 A current flows through the wire will be (Given, charge on electron = 1.6×10−19C: