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