MHT CET 2022 Physics question

PhysicsGravitationMHT CET 2022

The mass and radius of the earth and moon are , and , respectively. Their centres are at a distance 'd' apart. The minimum speed with which a body of mass 'm' should be projected from a distance (2d/3) from the centre of so as to escape to is

Answer: (A)

Solution

For escape the total energy must be zero: , where is the sum of the potential energies due to both bodies, so the speed is fixed by . Taking the distance for each body (as the options are framed):

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Question ID VK-096930