Which of the following potential energy curves in Fig. cannot possibly describe the elastic collision of two billiard balls? Here r is distance between centres of the balls.

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CURVE II , III, IV, VII DO NOT DESCRIBE THE BEHAVIOUR BECAUSE THE POTENTIAL ENERGY IS INVERSELY PROPORTIONAL TO THE DISTANCE BETWEEN THE BALLS. SO WHEN THE BALLS TOUCH EACH OTHER THEN POTENTIAl ENERGY BECOMES ZERO.
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