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NEET2011PhysicsGravitationActual

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

Options

  1. A2 G M R
  2. B2 G M R^2
  3. C2 g R^2
  4. D2 G M R^2

Correct answer

A. 2 G M R

Step-by-step solution

Escape velocity aligned & y_e= 2 g R & y_e= 2 G M R^2 R ( G M=g R^2 ) & y_e= 2 G M R aligned

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