question_answer

In the system shown in the adjoining figure, the acceleration of the 1 kg mass is-

A) \[\frac{g}{4}\,\,downwards\]       

B) \[\frac{g}{4}\text{ }upwards\]

C) \[\frac{g}{2}\,\,downwards\]       

D) \[\frac{g}{2}\,\,upwards\]

Correct Answer: D

Solution :

  \[4g-2T\,\,=\,\,4\left( \frac{a}{2} \right)\] \[T-lg=1\left( a \right)\] \[a\,\,=\,\,g/2\,\left( up \right)\]