JEE Mains · Physics · STD 12 - 3. current electricity
A current of \(5\, A\) passes through a copper conductor (resistivity \(= 1.7\times10^{-8}\,\Omega \,m\)) of radius of cross-section \(5\, mm\). Find the mobility of the charges if their drift velocity is \(1.1\times10^{-3}\, m/s\) ................ \(m^2/Vs\)
- A \(1.8\)
- B \(1\)
- C \(1.3\)
- D \(1.5\)
Answer & Solution
Correct Answer
(B) \(1\)
Step-by-step Solution
Detailed explanation
\( \mu =\frac{V_{d}}{E} \quad E=\rho J\) \(=\frac{1.1 \times 10^{-3}}{1.7 \times 10^{-8} \times \frac{5}{\pi \times 25 \times 10^{-6}}} \) \(=\frac{1.1 \times 10^{-3} \times \pi \times 25 \times 10^{-6}}{1.7 \times 10^{-8} \times 5} \approx 1.01\, \mathrm{m}^{2} / \mathrm{Vs} \)
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