Collision of two masses

1. The problem statement, all variables and given/known data
Two small bodies initially at rest and free to move from a distance of 1m from each other are subjected to only their gravitational force of attraction. They approach each other and collide and do not separate. In respect to this collision which of the following statement is true?
a)The total gravitational potential energy(GPE) of 2 masses has increased on collision.
b)The total gravitational potential energy(GPE) of 2 masses has decreased on collision.

3. The attempt at a solution

I think option a) is correct as when the two bodies approach each other, the GPE increases as it is inversely proportional to distance. But option b) is the correct answer.

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