JEE Advanced 2013 Physics question

Two bodies, each of mass M, are kept fixed with a separation 2L. A particle of mass m is projected from the midpoint of the line joining their centres, perpendicular to the line. The gravitational constant is G. The correct statement(s) is (are)

(A)The minimum initial velocity of the mass m to escape the gravitational field of the two bodies is .
(B)The minimum initial velocity of the mass m to escape the gravitational field of the two bodies is .Correct
(C)The minimum initial velocity of the mass m to escape the gravitational field of the two bodies is .
(D)The energy of the mass m remains constant.Correct

Answer: (B),(D)

Solution

At the midpoint the potential energy is . To escape (reach infinity with zero speed), $ = ⇒ v

See the full step-by-step solution

Create a free account to read the complete working, and practise questions like this in a timed test.

Create a free account

Question ID VK-026188