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  1. 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
    1. 2GM
      1 / 2
      R
    2. 2GM
      1 / 2
      R2
    3. 2gR²
    4. 2GM
      1 / 2
      R2
Correct Option: A

The velocity u should be equal to the escape velocity. That is,
u = √2gR

But g =
GM
R2



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