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Q.

A wire of length ‘L’ and radius ‘r’ is clamped rigidly at one end. When the other end of the wire is pulled by a force f, its length increases by l. Another wire of same material of length '2L' and radius '2r ' is pulled by a force '2f '. Then the increase in its length will be:

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a

2l

b

l/2

c

l

d

4l

answer is B.

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Detailed Solution

detailed_solution_thumbnail

For a given material, Y = constant 

⇒fLπr2l=2f×2Lπ4r2e2

⇒e2=l

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