Three identical particles are joined together by a thread as shown in figure All the partical are moving in a horizontal plane If the vertical of the outermost particle is `v_(0)` then the ratio of tension in the three sections of the string `(T_(1):T_(2):T_(3) = ?)` is

Options

A. `6:5:3`
B. `3:5:6`
C. `3:4:5`
D. none of these

Answer

A

Explanation

`v_(0) = omega 3l , v_(2) = omega 2l = (2v_(0))/(3) v_(1) = omega l = (v_(0))/(3)`
`T_(3) = m omega^(2)3l`

`T_(2) - T_(3) = m omega^(2)2l rArr T_(2) = 5 m omega^(2) l`
`T_(1) - T_(2) = m omega^(2)l rArr T_(1) =6 m omega^(2)l`
`T_(3) : T_(2) : T_(1) = 3: 5: 6`