AIPMT MAINS 2011 Physics Escape Velocity MCQ Question
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
√2gR²
√2GM/R
√2GM/R
√2gM/R²
Correct Answer
Detailed Explanation
Escape velocity is given by v = √(2gR) or v = √(2GM/R). This ensures the particle has enough kinetic energy to overcome gravitational pull.
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