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EAMCET Medical EAMCET Medical Solved Paper-1999

  • question_answer
    Two satellites of mass 50 kg and 100 kg revolve around the earth in circular orbits of radius 9 R and 16 R respectively, where R is the radius of earth. The speeds of the two satellites will be in the ratio:

    A)  3/4                                       

    B)  4/3

    C)  9/16                                     

    D)  16/9

    Correct Answer: B

    Solution :

                     Orbital velocity of satellite is given by \[{{v}_{0}}=\sqrt{\frac{GM}{R}}\Rightarrow {{v}_{o}}\propto \sqrt{\frac{1}{R}}=\frac{1}{\sqrt{R}}\] Hence, \[\frac{{{v}_{{{o}_{1}}}}}{{{v}_{{{o}_{2}}}}}=\sqrt{\frac{{{R}_{2}}}{{{R}_{1}}}}=\sqrt{\frac{16R}{9R}}=4:3\]


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