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 .................. $\%$
A$300$
B$200$
C$100$
D$50$
AIEEE 2003, Medium
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A$300$
a If suppose initial length ${l_1} = 100$ then ${l_2} = 100 + 100 = 200$
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