If the length of a wire is stretched to double its original length while keeping its volume constant, its new resistance will be: MCQ with Answer and Explanation
If the length of a wire is stretched to double its original length while keeping its volume constant, its new resistance will be:
A. Four times the original
B. Half the original
C. Unchanged
D. Twice the original
Answer: Option A
Solution (By JKExamLibrary)
Resistance R = rhoL/A. If the wire is stretched so length becomes L' = 2L, the volume (V = AL) must remain constant. Therefore, the new area A' must be A/2 to maintain V. The new resistance R' = rho(2L)/(A/2) = 4 * (rhoL/A) = 4R. Stretching a wire to double its length increases its resistance strictly by a factor of 4. This is a classic trap question compared to merely 'changing the wire'.
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