AIIMS AIIMS Solved Paper-2005

  • question_answer
    In the figure given the position-time graph of a panicle of mass 0.1 kg is shown. The impulse at t =2s is :

    A) \[0.2\,\,kg\,m{{s}^{-1}}\]     

    B)                                       \[-0.2\,kg\,m{{s}^{-1}}\]                       

    C)          \[0.1\,\,kg\,m{{s}^{-1}}\]     

    D)                       \[-0.4\,kg\,m{{s}^{-1}}\]

    Correct Answer: A

    Solution :

                    If a constant force F is applied on a body for a short interval of time At, then impulse of this force is \[{{\sin }^{2}}t\omega t\]. From Newtons second law \[\sin \,\,\omega t+\sin \,\,2\,\,\omega t\] \[\sin \,\,\omega t-\sin \,\,2\,\,\omega t\]  \[\sim 1.2\times {{10}^{12}}{{m}^{-3}}\] \[\sim {{10}^{6}}{{m}^{-3}}\]  Impulse,   \[\sim {{10}^{14}}{{m}^{-3}}\] Given,   \[\sim {{10}^{22}}{{m}^{-3}}\] \[{{\sin }^{-1}}({{n}_{2}}/{{n}_{1}})\]  \[{{\sin }^{-1}}\sqrt{n_{1}^{2}-n_{2}^{2}}\]


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