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

  • question_answer
     If the radius of a planet is four times that of earth and the value of g is same for both, the escape velocity on the planet will be                      [RPET 2002]

    A)             \[11.2\,\,km/s\]

    B)               \[5.6\,\,km/s\]

    C)             \[22.4\,\,km/s\]

    D)               None

    Correct Answer: C

    Solution :

                    \[v=\sqrt{2gR}\] Þ \[\frac{{{v}_{p}}}{{{v}_{e}}}=\sqrt{\frac{{{g}_{p}}}{{{g}_{e}}}\times \frac{{{R}_{p}}}{{{R}_{e}}}}=\sqrt{1\times 4}=2\] Þ \[{{v}_{p}}=2\times {{v}_{e}}=2\times 11.2=22.4\ km/s\]


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