A nichrome wire 50 cm long and one square millimeter cross section carries a current of 4 A when connected to a 2 V battery. The resistivity of nichrome wire in ohm - meter is
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a
1×10−6
b
4×10−7
c
3×10−7
d
2×10−7
answer is A.
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Detailed Solution
Length l=50 cm=50×10−2 m Area of cross section A=10−6 m2Current i=4 APotential difference V=2 VResistivity ρ=?V=iR⇒iρlA⇒ρ=VAil⇒2×10−64×50×10−2 ∴ ρ=1×10−6Ωm
A nichrome wire 50 cm long and one square millimeter cross section carries a current of 4 A when connected to a 2 V battery. The resistivity of nichrome wire in ohm - meter is