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The ratio of lengths of two wires made up of the same material is 3:1 and the ratio of their radii is 1:3. The ratio of increament of lengths on account of suspending same weight will be ?

The ratio of lengths of two wires made up of the same material is 3:1 and the ratio of their radii is 1:3. The ratio of increament of lengths on account of suspending same weight will be ?

Grade:11

1 Answers

Sanju
106 Points
6 years ago
We have Stress = Force/Area
Area, a = πr2    [means area is proportional to r2]
Therefore, a1/a2 = (r1/r2)2 = (1/3)2 = 1/9
S1/S2 = [F/a1] /  [F/a2] = a2/a1 = 9/1    [Same weight means force is same and gets cancelled each other]
The ratio of increament of lengths on account of suspending same weight will be: 9:1

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