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Question
Two small particles of equal masses start moving in the opposite directions from a point A in a horizontal circular orbit. Their tangential velocities are v and 2v, respectively, as shown in the figure. Between collisions, the particles move with constant speeds. After making how many elastic collisions, other than that at A, these two particles will again reach the point A.
Two small particles of equal masses start moving in the opposite directions from a point A in a horizontal circular orbit. Their tangential velocities are v and 2v, respectively, as shown in the figure. Between collisions, the particles move with constant speeds. After making how many elastic collisions, other than that at A, these two particles will again reach the point A.
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Solution
The correct option is B 2
As given both the particles have equal masses and collision is elastic. Therefore, after the collision, velocities will be exchanged. Since one speed is double the another, so one particle will travel a distance s, another will travel 2s. After the initial collision, particles will collide again as shown.
Therefore, after two collisions at B and C, particles again collide at A.
Final answer: (c) .
As given both the particles have equal masses and collision is elastic. Therefore, after the collision, velocities will be exchanged. Since one speed is double the another, so one particle will travel a distance s, another will travel 2s. After the initial collision, particles will collide again as shown.
Therefore, after two collisions at B and C, particles again collide at A.
Final answer: (c) .
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