NEET Sample Paper NEET Sample Test Paper-3

  • question_answer If a body is to be projected vertically upwards from the earths surface to reach a height of 10R from the surface of the earth (where R is the radius of earth). The velocity required to do so is:

    A)  \[\sqrt{\frac{24}{11}g\,\,R}\]                

    B)  \[\sqrt{\frac{22}{11}g\,\,R}\]

    C)  \[\sqrt{\frac{20}{11}g\,\,R}\]    

    D)  \[\sqrt{\frac{18}{11}g\,\,R}\]

    Correct Answer: C

    Solution :

        By the law of conservation of energy \[\frac{GMm}{R}+\frac{1}{2}m{{V}^{2}}=\frac{GMm}{10R+R}+0\] \[V=\sqrt{\frac{20}{11}\left( \frac{Gm}{R} \right)}=\sqrt{\frac{20}{11}}gR\]        

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