Banking Physics Wave Mechanics Question Bank Mechanics

  • question_answer Kepler's second law (law of area) is nothing but a statement of

    A)  work energy theorem

    B)  conservation of linear momentum

    C)  conservation of angular momentum  

    D)  conservation of energy

    Correct Answer: C

    Solution :

     From Kepler's 2nd law - The straight line joining the sun and the planet sweeps out equal areas in equal  time intervals \[(\frac{dA}{dt}=\] const; area swept) Areal velocity of the satellite is given by \[\frac{dA}{dt}=\frac{1}{2}\omega {{r}^{2}}=const.=\frac{L}{2m}\] where\[\omega \] = angular velocity of the satellite L = mvr =\[m\omega {{r}^{2}}\] = const, showing that Kepler's 2nd law is a consequence of the conservation of angular momentum.

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