The following four wires are made of the same material. Which of these will have the largest extensionwhen the same tension is applied?
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a
Length = 50 cm, diameter = 0.5 mm
b
Length = 100 cm, diameter = 1 mm
c
Length = 200 cm, diameter = 2 mm
d
Length = 300 cm, diameter = 3 mm
answer is A.
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Detailed Solution
ΔL=FLAY or ΔL∝Ld2 ∵A=πd24Therefore, ΔL will be maximum for that wire for which Ld2 is maximum. Here by checking options, we get option (a) has maximum extension.