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BVP Medical BVP Medical Solved Paper-2011

  • question_answer
    Two rods of different materials having coefficients of thermal expansions \[{{\tan }^{-1}}\left( \frac{3}{4} \right)\] Youngs moduli \[{{\tan }^{-1}}\left( \frac{4}{5} \right)\] respectively are fixed between two rigid walls. The rods are heated such that they undergo the same increase in temperature. There is no bending of rods. If \[{{\tan }^{-1}}\left( \frac{4}{3} \right)\] and stresses developed in the two rods are equal, then \[{{\sin }^{-1}}\left( \frac{3}{5} \right)\] is

    A)  3/2                                       

    B)  1    

    C)  2/3                                       

    D)  ½

    Correct Answer: A

    Solution :

                    Thermal stress \[I=0.5\] The rods are heated such that they undergo same increase in temperature. So,    \[\frac{1}{2}iBL\] The stresses developed are also equal. \[{{\tan }^{-1}}\left( \frac{3}{4} \right)\]                \[{{\tan }^{-1}}\left( \frac{4}{5} \right)\] \[{{\tan }^{-1}}\left( \frac{4}{3} \right)\] \[{{\sin }^{-1}}\left( \frac{3}{5} \right)\]


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