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

  • question_answer
    The mass and diameter of a planet have twice the value of the corresponding parameters of earth. Acceleration due to gravity on the surface of the planet is                [NCERT 1971; Pb. PMT 2000]

    A)             \[9.8\,m/{{\sec }^{2}}\]

    B)               \[4.9\,m/{{\sec }^{2}}\]

    C)             \[980\,m/{{\sec }^{2}}\]      

    D)             \[19.6\,m/{{\sec }^{2}}\]

    Correct Answer: B

    Solution :

                    \[\frac{g'}{g}=\frac{M'}{M}{{\left( \frac{R}{R'} \right)}^{2}}=\left( \frac{2M}{M} \right)\ {{\left( \frac{R}{2R} \right)}^{2}}=\frac{1}{2}\] Þ\[{g}'=\frac{g}{2}=\frac{9.8}{2}=4.9\ m/{{s}^{2}}\]


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