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

  • question_answer
     The acceleration due to gravity on a planet is same as that on earth and its radius is four times that of earth. What will be the value of escape velocity on that planet if it is \[{{v}_{e}}\] on earth        [RPET 2002]

    A)             \[{{v}_{e}}\] 

    B)             \[2{{v}_{e}}\]

    C)             \[4{{v}_{e}}\]           

    D)             \[\frac{{{v}_{e}}}{2}\]

    Correct Answer: B

    Solution :

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


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