Two small particles of equal masses start moving in 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

Question: Two small particles of equal masses start moving in 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

(A) 4

(B) 3

(C) 2

(D) 1

Answer: Option (C)

Solution:

Two small particles of equal masses start moving in 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 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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