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AP EAMCET · PHYSICS · Current Electricity

A block has dimensions \(1 \mathrm{~cm}, 2 \mathrm{~cm}\) and 3 cm . Ratio of the maximum resistance to minimum resistance between any pair of opposite faces of the block is

  1. A \(9: 1\)
  2. B \(1: 9\)
  3. C \(18: 1\)
  4. D \(6: 1\)
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Answer & Solution

Correct Answer

(A) \(9: 1\)

Step-by-step Solution

Detailed explanation

Resistance, \(\mathrm{R}=\rho \frac{l}{\mathrm{~A}} \Rightarrow \mathrm{R} \propto \frac{l}{\mathrm{~A}}\) \(\therefore \mathrm{R}_{\max }=\rho \cdot \frac{l_{\max }}{\mathrm{A}_{\min }}=\rho \cdot \frac{3}{1 \times 2}=\frac{3 \delta}{2}\)…
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