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Thermal Expansion

Two wires are...

Question

Two wires are of same material. Wire 1 is of 4 times longer than wire 2 and area of wire 1 is 4 times less than wire 2. Compare the stresses if they are elongated by the same load

A

1/2

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B

4

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C

1/4

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D

2

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Solution

The correct option is C 1/4
The stress is given by Force/Area .
Comparing the stresses, we get, $(s t r e s s_{1} / s t r e s s_{2}) = (L_{2} / L_{1}) = 1 / 4$
The correct option is (c)

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