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

(a) √(2GM/R²)

(b) √(2gM/R)

(c) √(2gM/R²)

(d) √(2gR²)

Answer 1

Correct option (b) √(2gM/R)

Explanation:

According to law of conservation of mechanical energy