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Which of the following potential energy ...

Which of the following potential energy curves in figure., cannot possibley describly describe the elastic collision of two billiard balls ? Here r is distance between centres of the balls.

A

B

C

D

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The correct Answer is:
C
The potential energy of a system of two masses varies inversely as the distance (r) between them.
i.e. `V(r)prop 1/r`
When the two billiard balls touch each other potential energy becomes zero, i.e at r=R+R=2R,V(r)=0
Out of the given graphs, only curve (c ) satisfies these conditions. Therefore, all other curves cannot possibly describe the elastic collision of two billiard balls.
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