In the pulley-block arrangement shown in figure , find the relation between acceleration of blocks `A` and `B`

Options

A. `a_(B) = - 4a_(A)`
B. `a_(B) = - 3a_(A)`
C. `a_(B) = a_(A)`
D. `a_(B) = - (1)/(3) a_(A)`

Answer

B

Explanation

`T_(A) = 3T, T_(B) = T`
by such type of problems
`a prop (1)/(T)`
`:. |a_(B)|=3|a_(A)|`
or `a_(B) = - 3a_(A),` as `a_(A)` and `a_(B)`
are in opposite directions.