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

  • question_answer
    Given mass of the moon is 1/81 of the mass of the earth and corresponding radius is 1/4 of the earth. If escape velocity on the earth surface is  11.2 km/s, the value of same on the surface of the moon is [CPMT 1997; AIIMS 2000; Pb. PMT 2001]

    A) 0.14 km/s

    B)               0.5 km/s

    C)             2.5 km/s

    D)               5 km/s

    Correct Answer: C

    Solution :

                    On earth \[{{v}_{e}}=\sqrt{\frac{2GM}{R}}=11.2\,\,km/s\] On moon  \[{{v}_{m}}=\sqrt{\frac{2GM\times 4}{81\times R}}=\frac{2}{9}\,\sqrt{\frac{2GM}{R}}\]             \[=\frac{2}{9}\times 11.2=2.5\,\,km/s\]


You need to login to perform this action.
You will be redirected in 3 sec spinner