In case of four wires of same material, the resistance will be minimum if the diameter and length of the wire respectively are
In case of four wires of same material, the resistance will be minimum if the diameter and length of the wire respectively are
Options
The resistance of a conductor is directly proportional to its length (l) and inversely proportional to the area of cross-section (A). Therefore, the resistance will be minimum if the diameter (D) is 4D and the length (L) is 2L.
Marking Scheme
- 11 mark
Hint
Use the formula R = ρ(l/A) to analyze the options.
Quick Oral Answer
The resistance of a conductor is directly proportional to its length and inversely proportional to the area of cross-section. Therefore, to minimize the resistance, we need to minimize the length and maximize the area of cross-section.
Analysis & Explanation
This question requires the student to understand the relationship between the resistance of a conductor and its length and area of cross-section. The student needs to analyze the options and choose the one that minimizes the resistance.
Common Mistakes
- 1Confusing the relationship between resistance and length/area of cross-section.
Interesting Facts
The resistance of a conductor can be minimized by increasing its area of cross-section and decreasing its length.
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Frequently Asked Questions
How many marks does this question carry in CBSE Class 10 Science 2024?
This question carries 1 mark in the CBSE Class 10 Science 2024 examination.
Which chapter does this question come from in Science?
This question is from the chapter "Electricity" in the CBSE Class 10 Science syllabus.
What topic does this question cover in Science?
This question covers the topic "Factors on Which the Resistance of a Conductor Depends" from CBSE Class 10 Science.
What type of question is this in the CBSE Class 10 Science 2024 paper?
This is a MCQ question from Section A in the CBSE Class 10 Science 2024 paper.