A lift can move upward or downward. A light inextensible string fixed from ceiling of lift when a frictionless pulley and tensions in string `T_(1)`. Two masses of `m_(1) and m_(2)` are connected with inextensible light string and tension in this string `T_(2)` as shown in figure. Read the questionbs carefully and answer

If `m_(1)=m_(2) and m_(1)` is moving at a certain instant with velocity `v` upward with respect to lift and the lift is moving in upward direction with constant acceleration `(a lt g)` then speed of `m_(2)` with respect to lift :

Options

A. `T_(1):T_(2):T_(3)::1:1:1`
B. `T_(1):T_(2):T_(3)::6:5:3`
C. `T_(1):T_(2):T_(3)::3:5:5`
D. `T_(1):T_(2):T_(3)::6:5:6`

Answer

B

Explanation

`T_(1) mg=mxx2 thereforeT_(1)=mxx12`
`T_(2)=mg T_(2)=mxx10`
`mg-T_(3)=mxx4 T_(3)=mxx16`
`T_(1):T_(2):T_(3)=6:5:3`