The resistance of a wire is R. If its length is doubled and area is halved, the new resistance is MCQ with Answer and Explanation

The resistance of a wire is R. If its length is doubled and area is halved, the new resistance is
A. R
B. R/2
C. 2R
D. 4R
Answer: Option D
Solution (By JKExamLibrary)
R ∝ L/A. New L'=2L, A'=A/2 => R' = ρ(2L)/(A/2) = 4ρL/A = 4R. Alternatively, volume constant? Not given, here both changed independently. So 4R.

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