In which of the following cases the magnitude of acceleration of the block A will be maximum (neglecting friction, mass of pulley and string)

Explanation

Method 1:




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(i) Equation of motion of `A`,`T-mg=ma`
Equation of motion of `B`,`2mg-T=2ma`
From (i) and (ii), `a=(g)/(3)
(ii) Here `T=2mg`
Equation of motion of `A`,`T-mg=ma`
from (i) and (ii). `a=g`
(iii) F.B.D of A
Here `T=2mg`
Equation of motion of `A`,`T=ma`
From (i) and (ii), `a=2g`
(iv) F.B.D of A & F.B.D of B
Equation of motion of `A`,`T=ma`
From (i) and (ii), `a=(2)/(3)g`