Manipal Engineering Manipal Engineering Solved Paper-2011

  • question_answer
    Escape velocity from earths surface is 11 km/s. If radius of a planet is double than that of earth and density is same as that of earth, then the escape velocity from this planet will be

    A)  5.5 km/s             

    B)         11 km/s

    C)  16.5 km/s          

    D)         22 km/s

    Correct Answer: D

    Solution :

    Escape velocity\[{{v}_{e}}=\sqrt{\frac{2GM}{R}}\]                                 \[=R\sqrt{\frac{8}{3}G\rho }\] \[\therefore \,\,\,\,\,\,\,\,\,v\propto R\] We can say, if radius of a planet is double than that of earth then escape velocity from this planet will be\[22\,\,km/s\].


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