JEE Main & Advanced Physics Gravitation / गुरुत्वाकर्षण Question Bank Acceleration Due to Gravity

  • question_answer
    A spherical planet far out in space has a mass \[{{M}_{0}}\] and diameter \[{{D}_{0}}\]. A particle of mass m falling freely near the surface of this planet will experience an acceleration due to gravity which is equal to    [MP PMT 1987; DPMT 2002]

    A)             \[G{{M}_{0}}/D_{0}^{2}\]

    B)               \[4mG{{M}_{0}}/D_{0}^{2}\]

    C)             \[4G{{M}_{0}}/D_{0}^{2}\]

    D)                \[Gm{{M}_{0}}/D_{0}^{2}\]

    Correct Answer: C

    Solution :

        \[g=\frac{GM}{{{R}^{2}}}=\frac{G{{M}_{0}}}{{{({{D}_{0}}/2)}^{2}}}=\frac{4G{{M}_{0}}}{D_{0}^{2}}\]


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