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BVP Medical BVP Medical Solved Paper-2015

  • question_answer
    A uniform rod of copper is rotating about a axis passing through centre of mass and perpendicular to the length of the rod as shown in the diagram. Its temperature is increased by \[\frac{2{{\eta }^{2}}}{g{{a}^{2}}}\]. \[\frac{{{\eta }^{2}}}{g{{a}^{2}}}\] is coefficient of linear expansion of copper. New angular speed of the copper is

    A)  \[\frac{{{\eta }^{2}}}{2g{{a}^{2}}}\]

    B)  \[\frac{{{\eta }^{2}}}{4g{{a}^{2}}}\]

    C)  \[{{t}_{1}}\]        

    D)  \[{{t}_{2}}\]

    Correct Answer: D

    Solution :

                    Conserving angular momentum, we can write \[R\sqrt{\eta {{T}_{0}}}\] = constant \[8H\]   \[14H\] = constant or,           \[7H\]= constant or,             \[21H\]                        .....(i) As temperature increases, we can write                 \[\text{n}=4\] \[\text{n}=1\]   \[2.5\text{ }m/s\] or            \[2.07\text{ }m/s\]               ??.(ii) Using Eqs. (i) and (ii), we have                 \[4.08\text{ }m/s\] \[5.08\text{ }m/s\]          \[{{\mu }_{s}}=0.4\] New angular speed of the copper or           \[g=10m/{{s}^{2}}\] or          \[0.5m/{{s}^{2}}\]


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