A current of 10 amp is passing through a metallic wire of cross sectional area `4xx10^(-6)m^(2)`. If the density of the aluminium conductor is 2.7 gm/cc considering aluminium gives 1 electorons per atom for conduction fiind the drift speed of the electrons if molecular weight of aluminium is 27 gm.

Options

A. `1.6xx10^(-4)m//s`
B. `3.6xx10^(-4)m//s`
C. `2.6xx10^(-4)m//s`
D. `1.5xx10^(-4)m//s`

Answer

C

Explanation

`i=n eAv_(d)`
`n=(N_(A))/(V)xx(M)/(m_(w))=(N_(A)rho)/(m_(w))=(6xx10^(23)xx2.7xx10^(3))/(27xx10^(-3))=6xx10^(28)`
`v_(d)=(i)/(nAxxe)`
`=(10xx10^(19))/(6xx10^(28)xx4xx10^(-6)xx1.6)=(100xx10^(-4))/(6xx4xx1.6)`
`=(100xx10^(-4))/(9.6xx4)=2.6xx10^(-4)m//s`