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A pendulum has a period T for small oscillations. An obstacle is placed directly beneath the pivot so that only the lowest one quarter of the string can follow the pendulum bob when it swings to the left of its resting position. The pendulum is released from rest at a certain point . How long will it take to return to that point ? In answering this question, you may assume that the angle between the moving string and the vertical stays small throughout the motion.

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According to question,

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