Two particles of equal mass are connected to a rope 𝐴𝐵 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)

Two particles of equal mass are connected to a rope 𝐴𝐵 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)

Question : Two particles of equal mass are connected to a rope 𝐴𝐵 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)