Two particles of equal mass are connected to a rope \( A B \) of negligible mass such that one i...

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Two particles of equal mass are connected to a rope \( A B \) of negligible mass such that one is at end \( A \) and other dividing the length of rope in the ratio \( 1: 2 \) from \( B \). The rope is rotated about end \( B \) in a horizontal plane. Ratio of tensions in the smaller part to the other is (ignore effect of gravity)
(a) \( 4: 3 \)
(b) \( 1: 4 \)
(c) \( 1: 2 \)
(d) \( 1: 3 \)
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