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JIPMER 2013
Exam
JIPMER
Year
2013
Subject
Physics
Chapter
Current Electricity

JIPMER 2013 · Physics · Current Electricity

At room temperature, copper has free electron density of 8.4 × 10^...

At room temperature, copper has free electron density of 8.4×1028 m−38.4 \times 10^{28} \mathrm{~m}^{-3}. The electron drift velocity in a copper conductor of cross-sectional area of 10−6 m210^{-6} \mathrm{~m}^2 and carrying a current of 5.4 A , will be

Options

  1. A4 ms−14 \mathrm{~ms}^{-1}
  2. B0.4 ms−10.4 \mathrm{~ms}^{-1}
  3. C4 cm s−14 \mathrm{~cm} \mathrm{~s}^{-1}
  4. D0.4 mm s−10.4 \mathrm{~mm} \mathrm{~s}^{-1}

Correct answer

D. 0.4 mm s−10.4 \mathrm{~mm} \mathrm{~s}^{-1}

Step-by-step solution

Drift velocity in a copper conductor vd=ineA=5.48.4×1028×1.6×10−19×10−6=0.4×10−3 ms−1=0.4mms−1\begin{aligned} v_d=\frac{i}{n e A} & =\frac{5.4}{8.4 \times 10^{28} \times 1.6 \times 10^{-19} \times 10^{-6}} \\ & =0.4 \times 10^{-3} \mathrm{~ms}^{-1} \\ & =0.4 \mathrm{mms}^{-1}\end{aligned}
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