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Q.

A copper wire of length 1.0m and a steel wire of length 0.5m having equal cross – sectional areas are joined end to end. The composite wire is stretched by a certain load which stretches the copper wire by 1mm. If the Young`s modulii of copper and steel are respectively 1.0x 1011Nm−2 and 2.0x 1011Nm−2 , the total extension of the composite wire is

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a

1.75 mm

b

2.0 mm

c

1.50 mm

d

1.25 mm

answer is D.

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Detailed Solution

e=FℓAy  ,load is same so F,A are same. e1e2=ℓ1ℓ2xY2Y1=10.5x21=4 e2=e14=14=0.25 mm e=e1+e2⇒e=1+0.25=1.25 mm
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A copper wire of length 1.0m and a steel wire of length 0.5m having equal cross – sectional areas are joined end to end. The composite wire is stretched by a certain load which stretches the copper wire by 1mm. If the Young`s modulii of copper and steel are respectively 1.0x 1011Nm−2 and 2.0x 1011Nm−2 , the total extension of the composite wire is