Published by:
CGP EDU Academic Team
Published on: September 12, 2026
The resistances of a wire at temperatures $t^\circ C$ and $0^\circ C$ are related by
Text Solution
Verified by ExpertsThe correct answer is:
A
To determine the relationship between the resistances of a wire at different temperatures, we use the temperature coefficient of resistance formula:
Step 1: The resistance at temperature $t$ is given by the formula:
$$R_t = R_0 (1 + \alpha t)$$
where:
- $R_t$ is the resistance at temperature $t$
- $R_0$ is the resistance at 0°C
- $\alpha$ is the temperature coefficient of resistance
- $t$ is the temperature in °C
Step 2: Analyzing the options provided, option A represents this relationship clearly. The other options either imply incorrect relationships or use incorrect formulations.
Therefore, option A is correct.
Step 1: The resistance at temperature $t$ is given by the formula:
$$R_t = R_0 (1 + \alpha t)$$
where:
- $R_t$ is the resistance at temperature $t$
- $R_0$ is the resistance at 0°C
- $\alpha$ is the temperature coefficient of resistance
- $t$ is the temperature in °C
Step 2: Analyzing the options provided, option A represents this relationship clearly. The other options either imply incorrect relationships or use incorrect formulations.
Therefore, option A is correct.
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