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

Options

A. `4:3`
B. `1:4`
C. `1:2`
D. `1:3`

Answer

A

Explanation

`T_(2) = mw^(2) (3r)`

`T_(1) - T_(2) = mw^(2)r`
`rArr T_(1) = mw^(2)(4r)`
`T_(1) : T_(2) = 4:3`