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Q.

A copper wire (Y = 1011 Nm-2) of length 8 m and a steel wire (Y = 2 X 1011 Nm-2) of length 4 m, eachof 0.5 cm2 cross-section are fastened end-to-end and stretched with a tension of 500 N. Choose thecorrect statement.

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a

Elongation in copper wire is 0.8 mm.

b

Elongation in steel is ¼.th the elongation in copper wire.

c

Total elongation is 1.0 mm.

d

All of the above

answer is D.

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Detailed Solution

Elongation in the copper wire,(Δl)C=FlAYC=500×80.5×10−4×1011=0.8×10−3m=0.8mmElongation in the steel wire,(Δl)S=FlAYS=500×40.5×10−4×2×1011=0.2×10−3m=0.2mm(Δl)S=14(Δl)Cand total elongation, Δl = 0.8 + 0.2= 1.0 mm

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