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Standard XII

Physics

Problem Solving

Two identical...

Question

Two identical balls $A$ and $B$ are released from the position shown in figure. They collide elastically with each other on the horizontal portion. The ratio of heights attained by $A$ and $B$ after collision is (neglect friction)

1 : 4

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2 : 1

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4 : 13

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2 : 5

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Solution

The correct option is A $1 : 4$
The velocity attained by Ball A after reaching the bottom is
Then,
Therefore,
Similarly,The velocity attained by Ball B after reaching the bottom is
Then,
Therefore,
After collision, the balls will interchange.
As,
Therefore, velocities after collisions are:
and
Hence, Ration of heights

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Two identical balls A and B are released from the position shown in figure. They collide elastically with each other on the horizontal portion. The ratio of heights attained by A and B after collision is (neglect friction)

Two identical balls $A$ and $B$ are released from the position shown in figure. They collide elastically with each other on the horizontal portion. The ratio of heights attained by $A$ and $B$ after collision is (neglect friction)