The drift velocity of the electrons in a copper wire of length 2 m under the application of a potential difference of 220 V is 0.5 m s- 1 . Their mobility (in m2V- 1s- 1 )

Question

The drift velocity of the electrons in a copper wire of length 2 m under the application of a potential difference of 220 V is 0.5 m s- 1 . Their mobility (in m2V- 1s- 1 ) (A) 2.5× 10- 3 (B) 2.5× 10- 2 (C) 5× 102 (D) 4.5× 10- 3

Tardigrade Admin · Accepted Answer

Drift velocity = mobility&times; intensity of the electric field or vd=μ E or μ =(vd/E) or μ =(vd/V / l) (∵ E = (V/l)) ∴ μ =(0.5 × 2/220)=4.5× 10- 3m2V- 1s- 1

Q. The drift velocity of the electrons in a copper wire of length $2 m$ under the application of a potential difference of $220 V$ is $0.5$ $m s^{- 1}$ . Their mobility (in $m^{2} V^{- 1} s^{- 1}$ )

$2.5 \times 1 0^{- 3}$

$2.5 \times 1 0^{- 2}$

$5 \times 1 0^{2}$

$4.5 \times 1 0^{- 3}$

Drift velocity = mobility× intensity of the electric field
or $v_{d} = μ E or μ = \frac{v _{d}}{E}$
$or μ = \frac{v _{d}}{V / l} (∵ E = \frac{V}{l})$
$∴ μ = \frac{0.5 \times 2}{220} = 4.5 \times 1 0^{- 3} m^{2} V^{- 1} s^{- 1}$

Q. The drift velocity of the electrons in a copper wire of length 2m under the application of a potential difference of 220V is 0.5 ms−1 . Their mobility (in m2V−1s−1 )

2.5×10−3

2.5×10−2

5×102

4.5×10−3