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)

(A) 4 ∶ 3

(B) 1 ∶ 4

(C) 1 ∶ 2

(D) 1 ∶ 3

Answer : option (A)

Solution :

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)
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