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A wire has a resistance of 12 Ω. If it is stretched to double its length, what w

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Question: A wire has a resistance of 12 Ω. If it is stretched to double its length, what will be the new resistance assuming uniform cross-section?

Options:

  1. 24 Ω
  2. 48 Ω
  3. 12 Ω
  4. 6 Ω

Correct Answer: 24 Ω

Solution: 

Resistance R is proportional to length; if length doubles, resistance also doubles to 24 Ω.

A wire has a resistance of 12 Ω. If it is stretched to double its length, what w

Practice Questions

Q1
A wire has a resistance of 12 Ω. If it is stretched to double its length, what will be the new resistance assuming uniform cross-section?
  1. 24 Ω
  2. 48 Ω
  3. 12 Ω
  4. 6 Ω

Questions & Step-by-Step Solutions

A wire has a resistance of 12 Ω. If it is stretched to double its length, what will be the new resistance assuming uniform cross-section?
  • Step 1: Understand that resistance (R) is related to the length (L) of the wire.
  • Step 2: Know that if the length of the wire doubles, the new length becomes 2L.
  • Step 3: Remember that resistance is directly proportional to length, meaning if length increases, resistance increases.
  • Step 4: Since the original resistance is 12 Ω, and the length is doubled, the new resistance will be 2 times the original resistance.
  • Step 5: Calculate the new resistance: 2 * 12 Ω = 24 Ω.
  • Resistance and Length Relationship – Resistance of a wire is directly proportional to its length when the material and cross-sectional area remain constant.
  • Cross-sectional Area Consideration – When a wire is stretched, its length increases, but its cross-sectional area decreases, affecting the overall resistance.
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