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Question
An alloy wire of 2 mm2 cross-sectional area and 12 N weight hangs freely under its own weight. Find the maximum length of the wire, if its extension is not to exceed 0.6 mm. Take E for the wire material as 150 GPa.
A.
60 m
B.
120 m
C.
30 m
D.
40 m
Answer ( Option C)

30 m

Solution

Given: 
Cross-sectional area (A) = 2 mm2; 
Weight (W) = 12N; 
Extension  mm; 
& Modulus of elasticity (E) = 150 GPa = 150 × 103 N/mm2.
Let     l = Maximum length of the wire,
As we know that extension of the wire under its own weight,

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