An unknown metallic wire of length and cross-sectional area carries a steady current…

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

Problem

An unknown metallic wire of length

1.5\,\text{m}

and cross-sectional area

0.8\,\text{mm}^2

carries a steady current of

4.8\,\text{A}

when a potential difference of

3.0\,\text{V}

is applied across it. Given that its electron number density is

8\times10^{28}\,\text{m}^{-3}

, determine the electron mobility in the material. (a)

1.6\times10^{-4}\,\text{m}^2\text{V}^{-1}\text{s}^{-1}

(b)

4.7\times10^{-4}\,\text{m}^2\text{V}^{-1}\text{s}^{-1}

(c)

2.3\times10^{-4}\,\text{m}^2\text{V}^{-1}\text{s}^{-1}

(d)

2.3\times10^{-3}\,\text{m}^2\text{V}^{-1}\text{s}^{-1}