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

  • question_answer
     If the density of a small planet is the same as that of earth, while the radius of the planet is 0.2 times that of the earth, the gravitational acceleration on the surface of that planet is     [UPSEAT 2004; CBSE PMT 2005]

    A) 0.2 g   

    B)             0.4 g

    C)             2 g      

    D)             4 g

    Correct Answer: A

    Solution :

        \[\ g=\frac{4}{3}\pi GR\rho \] and \[{g}'=\frac{4}{3}\pi G{R}'\rho \] \ \[\frac{{{g}'}}{g}=\frac{{{R}'}}{R}=0.2\] Þ \[{g}'=0.2\,g\]


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