The length of given cylindrical wire is increased by 100%. Due to the consequent decrease in diameter the change in the resistance of the wire will be
Text Solution
Verified by ExpertsThe correct answer is:
D
Given: I’ = I + 100% = 2I Initial volume = final volume
: I’ = I + 100% = 2I
ie, πr 2 = pr' 2 I
⇒ r' 2 = 
= r 2 × 
⇒ r' 2 = 
∴ R' = ρ 
= ρ 
= 
Δ R = R' – R = 4R – R = 3R
∴ % Δ R = 
× 100%
= 300%
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