AIIMS AIIMS Solved Paper-2010

  • question_answer
    The mass and diameter of a planet are twice those of earth. The period of oscillation of pendulum on this planet will be (if it is a seconds pendulum on earth)

    A) \[P=\left( \frac{RT}{2V-b}-\frac{a}{4{{b}^{2}}} \right)\]                                 

    B) \[\mu =\frac{1}{2}\]                      

    C)       \[\mu =\frac{m}{M}\]                   

    D)        \[\Rightarrow \]

    Correct Answer: B

    Solution :

    Gravity,  \[P=\left( \frac{RT}{2V-b}-\frac{a}{4{{b}^{2}}} \right)\]               (G is constant) \[\mu =\frac{1}{2}\]     \[\mu =\frac{m}{M}\] \[\Rightarrow \]  \[m=\mu M=\frac{1}{2}\times 44=22g\] Also,    \[n=\frac{1}{2\pi }\sqrt{\frac{g}{l}}\]\[[M{{L}^{2}}{{T}^{-2}}{{\theta }^{-1}}]\] \[[{{M}^{2}}L{{T}^{-2}}\theta ]\] \[[M{{L}^{3}}{{T}^{-2}}{{\theta }^{-1}}]\]     \[4\sqrt{\frac{h}{g}}\] \[2\sqrt{\frac{h}{g}}\]


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