Three point particles $P, Q, R$ move in circle of radius $‘r’$ with different but constant speeds. They start moving at $t = 0$ from their initial positions as shown in the figure. The angular velocities (in rad/ sec) of $P, Q$ and $R$ are $5\pi , 2\pi$ & $3\pi$ respectively, in the same sense. The time interval after which they are at same angular position.

37-590

  • A

    $2/3\, sec$

  • B

    $1/6\, sec$

  • C

    $1/2\, sec$

  • D

    $3/2\, sec$

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