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Q.

Two wires of same mass and materials are subjected to different loads such that they have same elastic energy stored in them. If their length ratio is 2:3 then their load ratio is

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a

2 : 3

b

3 : 4

c

4 : 9

d

3 : 2

answer is D.

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Detailed Solution

If their masses are same they have the same volume as they are made from same material.I1A1=I2A2    I1I2=A2A1=23energy stored E=12( stress )2Yvolume (as volume and  Young's modulus Y are same)E∝FA2    F2∝A2 or F∝A as energy is same  F1F2=A1A2=32
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