Question 141 markMCQSection A

$In case of four wires of same material, the resistance will be minimum if the diameter and length of the wire respectively are$

Electricity

Factors on Which the Resistance of a Conductor Depends

Options

(A)

D/2 and L/4

(B)

D/4 and 4L

(C)

2D and L

(D)

4D and 2L

Official answer

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.

resistance

conductor

length

area of cross-section

Marking scheme

1. $1 mark$

Hint

$Use the formula R = ρ(l/A) to analyze the options.$

Quick oral answer

$The resistance of a conductor is directly proportional to its length and inversely proportional to the area of cross-section. Therefore, to minimize the resistance, we need to minimize the length and maximize the area of cross-section.$

Common mistakes

1. $Confusing the relationship between resistance and length/area of cross-section.$

Analysis and 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.

Interesting facts

$The resistance of a conductor can be minimized by increasing its area of cross-section and decreasing its length.$

Question details

Q14 of 39 questions

Board: CBSE
Class: Class 10
Subject: Science
Year: 2024
Section: Section A
Marks: 1
Type: MCQ
Chapter: Electricity
Topic: $Factors on Which the Resistance of a Conductor Depends$
Bloom's level: Remembering
Syllabus topic: $Factors on Which the Resistance of a Conductor Depends$

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Frequently asked questions

$How many marks does this question carry in CBSE Class 10 Science 2024?$

$This question carries 1 mark in the CBSE Class 10 Science 2024 examination.$

$Which chapter does this question come from in Science?$

$This question is from the chapter "Electricity" in the CBSE Class 10 Science syllabus.$

$What topic does this question cover in Science?$

$This question covers the topic "Factors on Which the Resistance of a Conductor Depends" from CBSE Class 10 Science.$

$What type of question is this in the CBSE Class 10 Science 2024 paper?$

$This is a MCQ question from Section A in the CBSE Class 10 Science 2024 paper.$