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NEET NEET SOLVED PAPER 2016 Phase-I

  • question_answer
    At what height from the surface of earth the gravitation potential and the value of g are \[5.4\text{ }\times \text{ }{{10}^{7}}\text{ J k}{{\text{g}}^{2}}\] and \[6.0\text{ m}{{\text{s}}^{2}}\] respectively? Take the radius of earth as 6400 km:                                                                                                      

    A)  2600 km                             

    B)  1600 km

    C)   1400 km                            

    D)   2000 km

    Correct Answer: A

    Solution :

                     \[V=\frac{-GM}{R+h}=-5.4\times {{10}^{7}}\]                                    ??(1)                 and \[g=\frac{GM}{{{(R+h)}^{2}}}=6\]                                                    ??(2) dividing (1) and (2) \[\Rightarrow \]               \[\frac{5.4\times {{10}^{7}}}{(R+h)}=6\] \[\Rightarrow \]               \[R+h=9000\,km\]so  \[h=2600\,km\]


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