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Q.

A wire whose cross - sectional area is 4 mm2 is stretched by 0.1 mm by a certain load. If a similar wire of double the area of cross - section is under the same load, then the elongation would be _____×10-2mm.
 

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Detailed Solution

Given,

A1=4mm2=4×10-6m2

e1=0.1mm=0.1×10-3m=1×10-4m

Thus from the question,

A2=2A1

e∝1A ⇒e2=A12A1e1=A12A1×0.1=0.05mm

Hence the correct answer is 5.

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