Physicshard · Past Paper

A wire of resistance R is stretched to double its original length while keeping volume constant. What is its new resistance?

A2R
B4R
CR/2
DR/4

✓ Correct Answer: B4R

If length L is doubled and volume (A*L) is constant, area A must become half. R = ρ(2L)/(A/2) = 4 * ρL/A = 4R.

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