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

  • question_answer
    The escape velocity for a rocket from earth is 11.2 km/sec. Its value on a planet where acceleration due to gravity is double that on the earth and diameter of the planet is twice that of earth will be in km/sec  [NCERT 1983; CPMT 1990; MP PMT 2000; UPSEAT 1999]

    A) 11.2    

    B)             5.6

    C)             22.4    

    D)             53.6

    Correct Answer: C

    Solution :

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


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