The dimensions of four wires of the same material are given below. In which wire the increase in length will be maximum when the same tension is applied
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a
Length 100 cm, Diameter I mm
b
Length 200 cm, Diameter 2 mm
c
Length 300 cm, Diameter 3 mm
d
Length 50 cm, Diameter 0.5 mm
answer is D.
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Detailed Solution
Y = FALA ⇒ l ∝ LA ∝ Lπd2∴ l ∝ Ld2 [As F and Y are constant]The ratio of Ld2 is maximum for case (4)