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

  • question_answer
    A mass of \[6\times {{10}^{24}}kg\] is to be compressed in a sphere in such a way that the escape velocity from the sphere is \[3\times {{10}^{8}}m\,/s\]. Radius of the sphere should be \[(G=6.67\times {{10}^{-11}}N-{{m}^{2}}/k{{g}^{2}})\]  [UPSEAT 2002]

    A) 9 km   

    B)             9 m

    C)             9 cm   

    D)             9 mm

    Correct Answer: D

    Solution :

                    \[{{v}_{e}}=\sqrt{\frac{2GM}{R}}=\sqrt{\frac{2\times 6.67\times {{10}^{-11}}\times 6\times {{10}^{24}}}{R}}\]\[=3\times {{10}^{8}}\] By solving \[R=9\,\,mm\]


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