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Q.

If resistance R1 in resistance box is 300 Ω, then the balanced length is found to be 75.0 cm from end A. The diameter of unknown wire is 1 mm and length of the unknown wire is 31.4 cm. Find the specific resistance of the unknown wire.

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a

4.5×10-4Ω·m

b

1.5×10-4Ω·m

c

3.5×10-4Ω·m

d

2.5×10-4Ω·m

answer is D.

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Detailed Solution

RX=l100-l

X=100-llR=100-7575(300)=100 Ω

When,

X=ρLA=ρLπd2/4

ρ=πd2X4L

=(3.14)10-32(100)(4)(0.314)

=2.5×10-4 Ω·m

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