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JEE Main & Advanced Physics Wave Mechanics Question Bank Self Evaluation Test - Mechanical Properties of Solids

  • question_answer
    Consider four steel wires of dimensions given below (d = diameter and / = length): \[l=1m,d=1mm\] \[l=2m,d=2mm\] \[l=2m,d=1mm\] \[l=1m,d=2mm\] If same force is applied to all the wires then the elastic potential energy stored will be maximum in wire:       

    A) A

    B) B    

    C) C

    D) D

    Correct Answer: C

    Solution :

    [c] We have, \[U=\frac{{{F}^{2}}}{2k}\] Where \[k=\frac{Yl}{A}=\frac{Yl}{\frac{1}{4}\pi {{d}^{2}}}\]       \[\therefore \,\,\,U\propto \frac{{{d}^{2}}}{l}\]


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