Haryana PMT Haryana PMT Solved Paper-2007

  • question_answer
    The earth moves in an elliptical orbit with the sun S at one of foci as shown in the figure. Its rotational kinetic energy is maximum at the point

    A) A                                            

    B)  B

    C)  C                                           

    D)  D

    Correct Answer: A

    Solution :

                    Key Idea In planetary motion, angular momentum remains conserved. The earth revolves around the sun once in a year. In order to find the rotational kinetic energy about the sun, we may treat the earth as a point mass, of moment of inertia \[I\]. If \[\omega \]is angular velocity of earth, then                 \[{{K}_{rot}}=\frac{1}{2}I{{\omega }^{2}}\] In planetary motion, angular momentum remains conserved. At A, the moment of inertia is least, so angular speed is maximum. So, at A, rotational kinetic energy is maximum.


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