Published by:
CGP EDU Academic Team
Published on: September 12, 2026
The resistance of a conductor increases with
Text Solution
Verified by ExpertsThe correct answer is:
D
Step 1: Understand the factors affecting resistance.
Resistance (R) of a conductor is determined by the formula:
$$R = \rho \frac{L}{A}$$
where R is resistance, \rho is resistivity, L is length, and A is cross-sectional area.
Step 2: Analyze each option:
Conclusion: Since all three factors mentioned in options A, B, and C result in an increase in resistance, the correct answer is:
All of these (Option D).
Resistance (R) of a conductor is determined by the formula:
$$R = \rho \frac{L}{A}$$
where R is resistance, \rho is resistivity, L is length, and A is cross-sectional area.
Step 2: Analyze each option:
- Option A: Increase in length
When the length of the conductor increases (L increases), the resistance increases according to the formula. - Option B: Increase in temperature
For most conductors, an increase in temperature causes the resistivity (\rho) to increase, which also increases resistance. - Option C: Decrease in cross-sectional area
If the cross-sectional area (A) decreases, the ratio \frac{L}{A} increases, leading to an increase in resistance.
Conclusion: Since all three factors mentioned in options A, B, and C result in an increase in resistance, the correct answer is:
All of these (Option D).
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