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A potential difference of 100 V is applied to the ends of a copper wire one metre long . What is the average drift velocity of electrons ? (Given, `sigma=5.81xx10^(7)Omega` or `n_(Cu)=8.5xx10^(28)m^(-3)`)A. `0.43 ms^(-1)`B. `0.83 ms^(-1)`C. `0.52 ms^(-1)`D. `0.95 ms^(-1)`

Answer» Correct Answer - A
Since, `Delta V =100 V, l = 1m`
`therefore` Electric field `=(Delta V)/(l)=(100)/(1)=100 Vm^(-1)`
Also, conductivity `sigma = 5.81xx10^(7)Sigma^(-1)m^(-1)`
`n=8.5xx10^(28)m^(-3)`
The average drift velocity of the electrons
`v_(d)=(l)/("neA")`
`because " " J = sigma E, J=(l)/(A) " (given)"`
`therefore " " v_(d)=(sigma)/("en")E`
`= (5.81xx10^(7)xx100)/(1.6xx10^(-19)xx8.5xx10^(28))`
`=0.43 ms^(-1)`


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