An aluminium wire ( ) of length and an iron wire ( ) of length are connected…

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

Problem

An aluminium wire (

\mu_\text{Al}=5.0\times10^{-3}\,\text{m}^2\,\text{V}^{-1}\,\text{s}^{-1}

) of length

2\,\text{m}

and an iron wire (

\mu_\text{Fe}=2.0\times10^{-4}\,\text{m}^2\,\text{V}^{-1}\,\text{s}^{-1}

) of length

1\,\text{m}

are connected separately to identical batteries that maintain

12\,\text{V}

across each wire. Neglect any temperature effects. What is the ratio of the drift velocities

v_{d\,(\text{Al})}:v_{d\,(\text{Fe})}

? (a)

25:1

(b)

50:1

(c)

6.25:1

(d)

12.5:1