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Q.

A wire of length 4 m and radius 0.25 mm has a resistance of $24 Ω$ . The resistivity of material of wire is

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a

1.1785 \times 10^{- 6} Ω m

b

11.785 \times 10^{- 6} Ω m

c

11785 \times 10^{- 6} Ω cm

d

1885 \times 10^{- 6} Ω cm

answer is A.

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Detailed Solution

ρ = RA/ l = \frac{24}{4} \times π \times {(25 \times 10^{- 3})}^{2}

$= 1.1775 \times 10^{- 6} Ω m$

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A wire of length 4 m and radius 0.25 mm has a resistance of 24 Ω . The resistivity of material of wire is