Physics Current Electricity Electric Conduction, Ohm's Law, Electric Current, Potential Deffrence Single Correct MCQ
Published on: September 12, 2026

The resistances of a wire at temperatures $t^\circ C$ and $0^\circ C$ are related by

A
$R_{t} = R_{0}(1 + \alpha t)$
B
$R_{t} = R_{0}(1 - \alpha t)$
C
$R_{t} = R_{0}^{2}(1 + \alpha t)$
D
$R_{t} = R_{0}^{2}(1 - \alpha t)$

Share this question

For Instagram sharing, use “Apps” on mobile or copy the link.

Text Solution

Verified by Experts
The 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.

Prepare Smarter with CGP Edu

Get practice questions, solutions, and test series in one place.

Write a Review

Share your experience with this question and solution.

Commentary

Send your comment, doubt, correction, or feedback to admin.

Student Reviews

What students say about this solution

No reviews yet. Be the first to write a review.

Similar Questions

Explore conceptually related problems

CG
CGP Question Assistant Question Bank + AI Help
Hi! Type your question or upload one screenshot. First I will search related questions from CGP Edu Question Bank. If none match, type YES and I will solve it with AI.
Upload only one screenshot at a time. Flow: Question Bank first → If not matched, type YES for AI solution.