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

  • question_answer
    The escape velocity from the earth is about 11 km/second. The escape velocity from a planet having twice the radius and the same mean density as the earth, is [NCERT 1980; MP PMT 1987; MP PET 2001, 2003; AIIMS 2001; UPSEAT 1999]

    A) 22 km/sec

    B)               11 km/sec

    C)             5.5 km/sec

    D)               15.5 km/sec

    Correct Answer: A

    Solution :

                    \[{{v}_{e}}=\sqrt{\frac{2GM}{R}}=R\sqrt{\frac{8}{3}\pi G\rho }\]\\[{{v}_{e}}\propto R\] if r = constant Since the planet having double radius in comparison to earth therefore the escape velocity becomes twice i.e. 22 km/s.


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