The dimensions of four wires of the same material are given below. In which wire the increase in the length will be maximum?

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Length 100 cm, diameter 1 mm

Length 200 cm, diameter 2 mm

Length 300 cm, diameter 3 mm

Length 50 cm, diameter 0.5 mm

answer is D.

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Detailed Solution

Y=F/aΔl/l=FlaΔl ELONGATION α Lr2 (a) 100l2=100 (b) 2004=50 (c) 3009=33.33 (d) 50(1/2)2=200

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