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Two identical balls \( A \) and \( B \) each of mass \( 0.1 \mathrm{~kg} \) are attached to two identical massless springs. The spring mass system is constrained to move inside a rigid smooth pipe
\( \mathrm{P} \) bent in the form of a circle as shown in the figure. The pipe is fixed in a horizontal plane. The centres of the balls can
W move in a circle of radius \( 0.06 \mathrm{~m} \). Each spring has a natural length of \( 0.06 \pi \mathrm{m} \) and force constant \( 0.1 \mathrm{~N} / \mathrm{m} \). Initially both the balls are displaced by an angle \( \theta=\pi / 6 \) radian with respect to the diameter \( P Q \) of the circle and released from rest. The frequency of oscillation of the ball \( B \) is
(a) \( \pi \mathrm{Hz} \)
(b) \( \frac{1}{\pi} H z \)
(c) \( 2 \pi \mathrm{Hz} \)
(d) \( \frac{1}{2 \pi} \mathrm{Hz} \)
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