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In the figure , the blocks A , B and C of mass m each have acceleration $a_{1}, a_{2} and a_{3}$ respectively. $F_{1} {and F}_{2}$ are external forces of magnitudes 2mg and mg respectively .
Column-I Column-II
A $a_{1}$ P 0
B $a_{2}$ Q g
C $a_{3}$ R 2mg
D Tension in the string connected to block A(Left most diagram) S $\frac{g}{3}$

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$A - Q; B - R; C - S; D - P$

$A - Q; B - S; C - P; D - R$

$A - S; B - Q; C - R; D - P$

$A - Q; B - P; C - S; D - R$

answer is A.

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Detailed Solution

(i) 2mg-mg=ma₁ $\Rightarrow a_{1} = g m s^{- 2}$

(ii) 2mg-T=2ma₂..(1)

T-mg=ma₂..(2)

$a_{2}$ = $\frac{g}{3}$

(iii) mg-mg=ma₃.
$\Rightarrow a_{3}$ =0
Tension in the string connected to block A(Left most diagram) = 2mg

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