arrow
arrow
arrow
If the length of a conductor is tripled, keeping other factors same, the resistance of the conductor will be:
Question

If the length of a conductor is tripled, keeping other factors same, the resistance of the conductor will be:

A.

one sixth

B.

tripled

C.

one third

D.

same

Correct option is B

The Correct Answer Is: (B) tripled
Explanation:
The resistance RRR of a conductor is directly proportional to its length LLL, according to the formula:

R=ρLAR=\rho \frac{L}{A}​​

where ρ\rhoρ is the resistivity of the material, and AAA is the cross-sectional area of the conductor.
When the length of the conductor is tripled, while keeping the resistivity and cross-sectional area constant, the resistance will also triple. This is because the resistance is directly proportional to the length of the conductor.
Information Booster:​

  • If the length of the conductor is increased, the electrons face more resistance as they travel through the longer material, leading to an increase in resistance.
  • The relationship between resistance and length is linear, meaning if the length is doubled, the resistance doubles; if the length is tripled, the resistance triples.
  • The formula for resistance shows that resistance is independent of factors like the shape or dimensions of the conductor unless those affect length or area.

Free Tests

Free
Must Attempt

CBT-1 Full Mock Test 1

languageIcon English
  • pdpQsnIcon100 Questions
  • pdpsheetsIcon100 Marks
  • timerIcon90 Mins
languageIcon English
Free
Must Attempt

RRB NTPC Graduate Level PYP (Held on 5 Jun 2025 S1)

languageIcon English
  • pdpQsnIcon100 Questions
  • pdpsheetsIcon100 Marks
  • timerIcon90 Mins
languageIcon English
Free
Must Attempt

CBT-1 General Awareness Section Test 1

languageIcon English
  • pdpQsnIcon40 Questions
  • pdpsheetsIcon30 Marks
  • timerIcon25 Mins
languageIcon English
test-prime-package

Access ‘RRB ALP Stage-1 CBT’ Mock Tests with

  • 60000+ Mocks and Previous Year Papers
  • Unlimited Re-Attempts
  • Personalised Report Card
  • 500% Refund on Final Selection
  • Largest Community
students-icon
354k+ students have already unlocked exclusive benefits with Test Prime!
Our Plans
Monthsup-arrow