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Current Electricity question

2023 · Q161
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Current Electricity question

2023 · Q161

NEETPhysicsCurrent ElectricityMCQ+4 / −1

A copper wire of radius 1 mm1 \mathrm{~mm}1 mm contains 102210^{22}1022 free electrons per cubic metre. The drift velocity for free electrons when 10 A10 \mathrm{~A}10 A current flows through the wire will be (Given, charge on electron =1.6×10−19C=1.6 \times 10^{-19} \mathrm{C}=1.6×10−19C ) :

  1. A
    6.25×104πms−1\frac{6.25 \times 10^4}{\pi} \mathrm{ms}^{-1}π6.25×104​ms−1
  2. B
    6.25π×103 ms−1\frac{6.25}{\pi} \times 10^3 \mathrm{~ms}^{-1}π6.25​×103 ms−1
  3. C
    6.25πms−1\frac{6.25}{\pi} \mathrm{ms}^{-1}π6.25​ms−1
  4. D
    6.25×105πms−1\frac{6.25 \times 10^5}{\pi} \mathrm{ms}^{-1}π6.25×105​ms−1
View written solutionFree

Correct answer: B

$$ \begin{aligned} & \mathrm{I}=\mathrm{neAV_{d }} \\ & \mathrm{V}_{\mathrm{d}}=\frac{\mathrm{I}}{\mathrm{neA}}=\frac{10}{10^{22} \times 1.6 \times 10^{-19} \times \pi \times 10^{-6}} \\ & \mathrm{~V}_{\mathrm{d}}=\frac{6.25}{\pi} \times 10^3 \mathrm{~m} / \mathrm{sec} \end{aligned} $$

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