AIIMS AIIMS Solved Paper-2010

  • question_answer
    A force F is applied on the wire of radius rand length L and change in the length of wire is I. If the same force F is applied on the wire of the same material and radius 2r and length 2L, then the change in length of the other wire is

    A) \[[{{M}^{2}}L{{T}^{-2}}\theta ]\]                                              

    B) \[[M{{L}^{3}}{{T}^{-2}}{{\theta }^{-1}}]\]                             

    C)       \[4\sqrt{\frac{h}{g}}\]                   

    D)       \[2\sqrt{\frac{h}{g}}\]

    Correct Answer: C

    Solution :

    Elongation, \[\frac{RT}{2V-b}-\frac{9}{4{{b}^{2}}},\] or            \[{{M}_{1}}\] \[{{L}_{1}}\]  \[{{M}_{2}}\] \[{{L}_{2}}\,.\,{{M}_{1}}={{M}_{2}}\] or   \[{{L}_{1}}\,.\,2{{L}_{2}}\] The change in the length of other wire is \[\frac{1}{\sqrt{2}}s\].


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