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Current Electricity

  1. 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​​
    1. ​1 × 10–7 Ω-m
    2. 2 × 10–7 Ω-m ​
    3. 3 × 10–7 Ω-m ​
    4. 4 × 10–7 Ω-m
Correct Option: B

Given : Length of wire (l) = 15m ​
Area (A) = 6 × 10–7
Resistance (R) = 5Ω. ​
We know that resistance of the wire material

R = ρl
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]



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