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Two wires A an dB of the same material, ...

Two wires A an dB of the same material, having radii in the ratio I : 2 and carry currents in the ratio 4: I. The ratio of drift speed of electrons in A and Bis :

A

`16:1`

B

`1:16`

C

`1:4`

D

`4:1`

Text Solution

Verified by Experts

The correct Answer is:
A
Current flowing through the conductor,
`I = n e v ` A. Hence
`(4)/(1) = ( "nev"_(d_1) pi (1)^(2))/( "nev"_(d_1) pi (2)^(2))` or `( v_(d_1) )/( v_(d_2))= ( 4 xx 1)/( 1) = (16)/( 1)`.
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