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 the same material of length 2L and radius 2r, is pulled by a force 2f. Find the increase in length of this wire
Given that same material implies that young modulus is same for both cases.
For First wire we can write a relation between force and young modulus as,
Similarly we can write it for second fire, and let change in wire is k,
It is clear that both equations are same hence change in length is also equal.
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