SATHEE: Current Electricity 1 Question 25

Current Electricity 1 Question 25

25. A copper wire is stretched to make it $0.1$ longer. What is the percentage change in its resistance?

(1978)

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Answer:

Correct Answer: 25. $0.2$ increase

Solution:

$R = ρ \frac{l}{A} = \frac{ρ \cdot l}{V / l} = \frac{ρ l^{2}}{V} (V =$ volume of wire $)$

$∴ R \propto l^{2} (ρ and V = constant)$

For small percentage change

change $R = 2 ($ change in $l) = 2 (0.1$

Since $R \propto l^{2}$ , with increase in the value of $l$ , resistance will also increase.

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Current Electricity 1 Question 25

25. A copper wire is stretched to make it 0.1 longer. What is the percentage change in its resistance?

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25. A copper wire is stretched to make it $0.1$ longer. What is the percentage change in its resistance?