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Q.

A wire 50 cm long and 1 mm2 in cross-section carries a current of 4 A when connected to a 2 V battery. The resistivity of the wire is

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a

4 x 10-6 Ω-m

b

2 x 10-7 Ω-m

c

1 x 10-6 Ω-m

d

5 x 10-7 Ω-m

answer is D.

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Detailed Solution

Resistance, R=Vi=24=0.5Ω

Resistance, R=ρlA⇒0.5=ρ×0.51×10−6

Resistivity of wire,  ρ=0.5×10−60.5=1×10−6Ω−m

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