JEE Main & Advanced Physics Gravitation / गुरुत्वाकर्षण Question Bank Newtons Law of Gravitation

  • question_answer
    The earth (mass \[=6\times {{10}^{24}}\,kg)\]) revolves round the sun with angular velocity \[2\times {{10}^{-7}}\,rad/s\] in a circular orbit of radius \[1.5\times {{10}^{8}}\,km\]. The force exerted by the sun on the earth in newtons, is [CBSE PMT 1995; AFMC 1999; Pb. PMT 2003]

    A)                \[18\times {{10}^{25}}\]                            

    B) Zero

    C)               \[27\times {{10}^{39}}\]

    D)                             \[36\times {{10}^{21}}\]

    Correct Answer: D

    Solution :

                                            \[m=6\times {{10}^{24}}kg,\] \[\omega =2\times {{10}^{-7}}rad/s,\]\[R=1.5\times {{10}^{11}}m\] The force exerted by the sun on the earth \[F=m{{\omega }^{2}}R\]          By substituting the value we can get, \[F=36\times {{10}^{21}}N\]


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