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NEET Sample Paper NEET Sample Test Paper-25

  • question_answer
    A particle of mass m is thrown upwards from the surface of the earth, with a velocity u. The mass and the radius of the earth are, respectively, M and R. G is gravitational constant and g is acceleration due to gravity on the surface of the earth. The minimum value of u so that the particle does not return back to earth is

    A) \[\sqrt{\frac{2GM}{R}}\]           

    B)  \[\sqrt{\frac{2GM}{{{R}^{2}}}}\]

    C) \[\sqrt{2g{{R}^{2}}}\]             

    D)  \[\sqrt{\frac{4GM}{{{R}^{2}}}}\] 

    Correct Answer: A

    Solution :

     Escape velocity \[{{v}_{e}}=\sqrt{2gR}\] \[{{v}_{e}}=\sqrt{\frac{2GM}{{{R}^{2}}}R}\]                         \[(\because \,GM=g{{R}^{2}})\] \[{{v}_{e}}=\sqrt{\frac{2GM}{R}}\]


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