JEE Main & Advanced Physics Gravitation / गुरुत्वाकर्षण Question Bank Kepler's Laws of Planetary Motion

  • question_answer
    The figure shows the motion of a planet around the sun in an elliptical orbit with sun at the focus. The shaded areas A and B are also shown in the figure which can be assumed to be equal. If \[{{t}_{1}}\] and \[{{t}_{2}}\] represent the time for the planet to move from a to b and d to c respectively, then       [CPMT 1986, 88]

    A)             \[{{t}_{1}}<{{t}_{2}}\]     

    B)             \[{{t}_{1}}>{{t}_{2}}\]

    C)             \[{{t}_{1}}={{t}_{2}}\]

    D)             \[{{t}_{1}}\le {{t}_{2}}\]

    Correct Answer: C

    Solution :

                    Areal velocity of the planet remains constant. If the areas A and B are equal then \[{{t}_{1}}={{t}_{2}}\].


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