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Q.

An iron wire of length 4cm having a resistance of 40 $Ω$ and specific resistivity of iron 5x10^-3 $Ω$ -m. Then the area of cross-section of the iron wire is

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a

0.005 cm²

b

0.05 cm²

c

0.5 cm²

d

5 cm²

answer is B.

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Detailed Solution

$R = \frac{ρl}{A}; A = \frac{ρl}{R} = \frac{5 \times 10^{- 3} \times 4 \times 10^{- 2}}{40} = 0 .05 {cm}^{2}$

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An iron wire of length 4cm having a resistance of 40Ω and specific resistivity of iron 5x10-3 Ω-m. Then the area of cross-section of the iron wire is