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A wire of length L and radius  fixed at one end and a force F applied to the other end produces an extension. The extension produced in another wire of the same material of length 2L and radius  2r  by a force 2F, is

a)

b)

2

c)

4

d)



Question ID - 55705 | SaraNextGen Top Answer

A wire of length L and radius  fixed at one end and a force F applied to the other end produces an extension. The extension produced in another wire of the same material of length 2L and radius  2r  by a force 2F, is

a)

b)

2

c)

4

d)

1 Answer
127 votes
Answer Key / Explanation : (a) -

(a)

When strain is small, the ratio of the longitudinal stress to the corresponding longitudinal strain is called the Young’s modulus (Y) of the material of the body.

Where F is force, A the area,  the change in length and L the original length.

being radius of the wire.

Given

Since, Young’s modulus is a property of material, we have

Hence, extension produced is same as that in the other wire.

127 votes


127