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9th Class Science Work and energy Question Bank Work, Energy and Power

  • question_answer
    If L, M denote the angular momentum and mass of a particle and p its linear momentum. Which of the following can represent the kinetic energy of the particle moving in a circle of radius R?

    A)  \[\frac{{{L}^{2}}}{2M}\]               

    B)         \[\frac{{{P}^{2}}}{M}\]

    C)  \[\frac{{{L}^{2}}}{2M{{R}^{2}}}\]               

    D)         \[\frac{1}{2}Mp\]

    Correct Answer: C

    Solution :

     We know\[K.E.=\frac{1}{2}m{{v}^{2}}\], and  \[L=mvR\] Substituting for\[v\], we get\[K.E.=\frac{{{L}^{2}}}{2M{{R}^{2}}}\]


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