JEE Main & Advanced Physics Gravitation / गुरुत्वाकर्षण Question Bank Gravitation Potential

  • question_answer
    The mass of the earth is \[6.00\times {{10}^{24}}\,kg\] and that of the moon is \[7.40\times {{10}^{22}}\,kg\]. The constant of gravitation \[G=6.67\times {{10}^{-11}}\,N-{{m}^{2}}/k{{g}^{2}}\]. The potential energy of the system is \[-7.79\times {{10}^{28}}\,joules\]. The mean distance between the earth and moon is                       [MP PMT 1995]

    A)             \[3.80\times {{10}^{8}}\,metres\]

    B)               \[3.37\times {{10}^{6}}\,metres\]

    C)             \[7.60\times {{10}^{4}}\,metres\]

    D)               \[1.90\times {{10}^{2}}\,metres\]

    Correct Answer: A

    Solution :

                    \[U=-\frac{GMm}{r}\]             \[\Rightarrow \,7.79\times {{10}^{28}}\]\[=\frac{6.67\times {{10}^{-11}}\times 7.4\times {{10}^{22}}\times 6\times {{10}^{24}}}{r}\]                 \[\Rightarrow \,\,r=3.8\times {{10}^{8}}\,m\]


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