All the blocks are attached to an ideal rope which passes over an ideal pulley. If acceleration of blocks `m_(1),m_(2),m_(3)` and `m_(4)` and `a_(1),a_(2),a_(3)` and `a_(4)` respectively then choose the correct option.

Options

A. `{:(a_(1),a_(2),a_(3),a_(4)),(guarr,2guarr,3guarr,g//suarr):}`
B. `{:(a_(1),a_(2),a_(3),a_(4)),(guarr,2g//3darr,3guarr,g//2darr):}`
C. `{:(a_(1),a_(2),a_(3),a_(4)),(2g//3darr,2guarr,3guarr,guarr):}`
D. `{:(a_(1),a_(2),a_(3),a_(4)),(gdarr,2//gdarr,3gdarr,2g//3darr):}`

Answer

B

Explanation

Case :I
`T_(1)=2mg`
`ma_(1)=2mg-T_(1)`
`impliesa_(1)=guarr`
Case II:
`T_(2)=mg`
`3ma_(2)=3mg-T_(2)`
`impliesa_(2)=2g//3darr`
Case III:
`T_(3)=4mg`
`ma_(3)=T_(3)-mg`
`impliesa_(3)=3guarr`
Case IV:
`T_(4)=mg`
`2ma_(4)=2mg-T_(4)`
`impliesa_(4)=g//2darr`