The ratio of two wires of the same material and length is n:1.if the same load is applied to both the wires then increase in the length of the thin wire in(n>1)
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Explanation:
Consider the expression for Young’s modulus.
Y=AΔLFL
ΔL=AYFL
Where A is the area, F is the applied force, ΔLis the increase in length.
So,
ΔL=πr2YFL
ΔL∝r21
l1l2=(r2r1)2
=(d2/2d1/2)2
=(n)2
l2=n2l1
Hence, on applying the same load, the length is increased by a factor of n2.
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