If a wire is stretched to twice its original length without changing its volume, its new resistance becomes

Options

  • A. R/2
  • B. 2R
  • C. 4R
  • D. R/4
  • E. None of the above

Correct Answer (Detailed Explanation is Below)

C. 4R

Detailed Explanation

Constant volume gives A becoming A/2 when length becomes 2L. Thus R' = rho(2L)/(A/2) = 4R.
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