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Question

Two identical wires of different materials have Young's moduli of elasticity as 22×1010N/m2 and 11×1010N/m2 respectively. If these are stretched by equal loads then the ratio of extensions produced in them will be:

A
2 : 1
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B
1 : 2
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C
4 : 1
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D
1 : 4
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Solution

The correct option is A 1 : 2
We know that Δl=FLAY. Thus, for same load and same length and area (because similar wires), extension is inversely proportional to Young's modulus.
Thus, for Y in ratio 2:1, extension will be in ratio 1:2

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