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The length of a given cylindrical wire is increased by 100%. Due to the consequent decrease in diameter the change in the resistance of the wire will be

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By Expert Faculty of Sri Chaitanya
a
300%
b
200%
c
100%
d
50%
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detailed solution

Correct option is A

If initial length l1 = 100, thenl2 = 100 + 100 = 200R1R2 = l1l22  =  1002002 ⇒  R2 =4R1ΔRR×100=R2−R1R1 ×100 = R1−R1R1 ×100 =300%


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