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Q.

In an experiment, current measured is I=10.0 A, potential difference measured is V=100.0 V, length of the wire is 31.4 cm and the diameter of the wire is 2.00 mm (all in correct significant figures). Find resistivity of the wire in correct significant figures. [Take, π=3.14, (exact)]

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a

1.00×10-4Ω·m

b

2.00×10-4Ω·m

c

3.00×10-4Ω·m

d

4.00×10-4Ω·m

answer is A.

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Detailed Solution

ρ=πd2V4lI=(3.14)2.00×10-32(100.0)(4)(31.4)(10.0)×10-2=1.00×10-4Ω·m (to three significant figures)
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In an experiment, current measured is I=10.0 A, potential difference measured is V=100.0 V, length of the wire is 31.4 cm and the diameter of the wire is 2.00 mm (all in correct significant figures). Find resistivity of the wire in correct significant figures. [Take, π=3.14, (exact)]