An aluminium (resistivity ρ=2.2×10−8Ω−m ) wire of a diameter 1.4 mm is used to make a 4Ω resistor. The length of the wire is
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a
220 m
b
100 m
c
280 m
d
1 m
answer is C.
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Detailed Solution
Resistivity ρ=2.2×10−8 Ω−m Diameter D=1.4×10−3 m Radius r=0.7×10−3 m Resistance R=4 Ω Length l=? Length of the wire is l=R Aρ =4×π×(0.7×10−3)22.2×10−8 ∴ l=280 m .