question_answer

In the arrangement shown in figure, the tension in the string connecting A and B is:

A)  g                                

B) \[\frac{g}{9}\]

C) \[\frac{8g}{9}\]                                  

D) \[\frac{10g}{9}\]  

Correct Answer: D

Solution :

\[5g-{{T}_{1}}=5a\]                                        (1) \[{{T}_{1}}-3g-{{T}_{2}}=3a\]                                 (2) \[{{T}_{2}}-1g=1a\]                                        (3) Solving the three equations, we get \[{{T}_{2}}=\frac{10g}{9}.\] Hence, the correction option is [d].