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Two wires each of radius of cross-sectio...

Two wires each of radius of cross-section r but of different materials are connected together end to end (in series). If the densities of charge carries in the two wires are in the ratio 1 : 4, the drift velocity of electrons in the two wires will be in the ratio :

A

`1 : 2`

B

`2 : 1`

C

`4 : 1`

D

`1 : 4`

Text Solution

Verified by Experts

The correct Answer is:
C

Two wires carry same current
`I=n_(1)eA V_(d_(1)) =n_(2)eA Vd_(d_(2))`
so `n_(1)V_(d_(1))=n_(2)V_(d_(2))`
`(V_(d_(1)))/(V_(d_(2)))=(n_(2))/(n_(1))=4 rArr V_(d_(1)):V_(d_(2))=4:1`.
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