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If a negligibly small current is passed through a wire of length 15 m and of resistance 5Ω having uniform cross-section of 6 × 10–7 m2 , then coefficient of resistivity of material, is
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- 1 × 10–7 Ω-m
- 2 × 10–7 Ω-m
- 3 × 10–7 Ω-m
- 4 × 10–7 Ω-m
Correct Option: B
Given : Length of wire (l) = 15m
Area (A) = 6 × 10–7 m²
Resistance (R) = 5Ω.
We know that resistance of the wire material
R = ρ | l | |
A |
⇒ 5 = ρ × | 15 | = 2.5 × 10-7ρ |
6 × 10-7 |
⇒ ρ = | 5 | = 2.5 × 10-7Ω - m |
2.5 × 10-7 |
[where ρ = coefficient of resistivity]