A wire of length has its radius varying linearly from at one end to at the other end

PHYSICS · Single correct · CBSE · Physics · Current Electricity · Current Electricity

Problem

A wire of length

L

has its radius varying linearly from

r_0

at one end to

2 r_0

at the other end. The wire carries a steady current

I

. Assuming uniform number density

n

of charge carriers and charge

e

, the ratio of the average drift velocity along the length of the wire to the drift velocity at the thinner end is (a)

\dfrac{2}{3}

(b)

\dfrac{1}{2}

(c)

\dfrac{5}{8}

(d)

\dfrac{4}{9}