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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
Drift speed of electrons is given by
`I = n e A v _(d),` where
n, e, `A & v _(d)` represents electron number density, charge of electron. crosssectional area and drift velocity respectively.
Therefore ` v _(d) prop ( I )/( r ^(2))`
`((v _(d)) _(A))/( ( v _(d)) _(B)) = ( I _(A))/( I _(B)) xx ( r_(B) ^(2))/( r _(A) ^(2))`
`(( v _(d))_(A))/( ( v _(d)) _(B))= (4)/(1) xx (2 ^(2))/(1 ^(2)) = (16)/(1)`
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Knowledge Check

  • Two wires A and B of the same material, having radii in the ratio 1:2 carry currents in the ratio 4 :1 . The ratio of drift speed of electrons in A and B is

    A
    `16 :1`
    B
    ` 1: 16`
    C
    `1:4`
    D
    `4:1`

  • Two wires A and B of the same material having radii in the ratio 1:2 carry currents in the ratio 4 :1 , The ratio of drift speed of electrons in A and B is .

    A
    `16:1`
    B
    `1:16`
    C
    `1:4`
    D
    `4:1`

  • Two wires of the same material having radii in the ratio 1:2 , carry currents in the ratio 4:1 . The ratio of drift velocities of electrons in them is:

    A
    `1 :16`
    B
    `16:1`
    C
    `1:4`
    D
    `4:1`

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