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. 4R
C. R/2
D. 2R
Answer: Option B
Solution (By JKSSB Mock Tests)
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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Correct Answer: Option D


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Question #3
The frequency of a tuning fork is 512 Hz. It produces resonance in a closed organ pipe of length 16 cm (speed of sound 340 m/s). The pipe resonates in
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