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Q.

A wire of length 2 m is made from 10 cm3 of copper. A force F is applied so that its length increases by 2 mm. Another wire of length 8 m is made from the same volume of copper. If the force F is applied to it, its length will increase by

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a

0.8 cm

b

1.6 cm

c

2.4 cm

d

3.2 cm

answer is D.

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Detailed Solution

I=FLAY=FL2(AL)Y=FL2VY∴I∝L2If volume of the wire remains constant I2I1=L2L12=822=16∴I2=16×I1=16×2=32mm=3.2cm.
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