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A conductor has a diameter of 1.00mm and length of 2.00m. If the resistance of...

Physics
JAMB 2007

A conductor has a diameter of 1.00mm and length of 2.00m. If the resistance of the material is 0.1Ω, the resistivity is

  • A. 2.55 * 105 Ωm
  • B. 2.55 * 103 Ωm
  • C. 3.93 * 10-6 Ωm
  • D. 3.93 * 10-8 Ωm
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Correct Answer: Option D
Explanation

\( R = \frac{\rho L}{A}\)  \(\implies \rho\) = \(\frac{R.A}{L}\) = \(\frac{0.1 \times 3.14}{2} \left ( \frac{10^{-3}}{2} \right)^2\)

\(\therefore\) \(\rho\) = \(\frac{0.1 \times 3.14 \times 10^{-6}}{2 \times 4}\)

= 0.3925 x 10\(^{-7}\) OR 3.930 x 10 \(^{-8}\)Ωm

There is an explanation video available below.


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Explanation Video

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Post-UTME Past Questions - Original materials are available here - Download PDF for your school of choice + 1 year SMS alerts
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WAEC and NECO CBT Software for Computers and Laptops - Candidates, Schools, Centres, Resellers - 100% Offline -Download Now
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WAEC and NECO CBT App for Mobile Devices - Candidates, Schools, Centres, Resellers - 100% Offline -Download Now