question_answer

A particle of mass m is thrown upwards from the surface of die 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 [AIPMT (M) 2011]

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

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

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

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

Correct Answer: A

Solution :

Escape velocity