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NEET Sample Paper NEET Sample Test Paper-2

  • question_answer
    The escape velocity on the surface of the earth is\[11.2\,km/s\]. what would be the escape velocity on the surface of another planet of the same mass but \[{\scriptstyle{}^{1}/{}_{4}}\] times the radius of the earth

    A)  \[44.8km/s\]          

    B)  \[22.4km/s\]               

    C)  \[5.6km/s\]           

    D)  \[11.2km/s\]        

    Correct Answer: B

    Solution :

    As, escape velocity, \[{{\upsilon }_{e}}=\sqrt{\frac{2Gm}{R}}=1.2\,km/s\] When R is taken as \[\frac{R}{4}\] \[{{\upsilon }_{e}}\sqrt{\frac{2Gm}{\frac{R}{4}}}\,\,km/s\] \[=2\sqrt{\frac{2Gm}{R}}=2\times 11.2=22.4\,km/s\]


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