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NEET Sample Paper NEET Sample Test Paper-78

  • question_answer
                                           A spherical planet has a mass \[{{M}_{z}}\] and diameter\[{{D}_{z}}\]. A particle of mass m falling freely near the surface of the planet, then it will experience on acceleration due to gravity equal to

    A)  \[\frac{G{{M}_{z}}}{D_{z}^{2}}\]                 

    B)  \[\frac{4G{{M}_{z}}}{D_{z}^{2}}\]

    C)  \[\frac{G{{M}_{z}}}{D_{z}^{2}}\]                 

    D)  None of these

    Correct Answer: B

    Solution :

    Gravitation force on particle having mass m is,\[F=\frac{G{{M}_{z}}m}{{{({{D}_{z}}/2)}^{2}}}\] Now, acceleration due to gravity experienced by particle is\[g=\frac{F}{m}=\frac{G{{M}_{z}}}{{{({{D}_{z}}/2)}^{2}}}=\frac{4G{{M}_{z}}}{D_{z}^{2}}\]


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