Q.

A current I flows through a uniform wire of diameter d when the mean electron drift velocity is v. The same current will flow through a wire ofdiameter d/2 made of the same material if the mean drift velocity of the electron is

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a

v/4

b

v/2

c

2v

d

4v

answer is D.

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Detailed Solution

j=IAnevd4Iπd2=nev                                   ....i16Iπd2=nev'                                   ....iiFrom equations (i) and (ii)4I16I=vv' ⇒  v'  =4v
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A current I flows through a uniform wire of diameter d when the mean electron drift velocity is v. The same current will flow through a wire ofdiameter d/2 made of the same material if the mean drift velocity of the electron is