question_answer

A battery of emf \[{{E}_{0}}=12\,V\] is connected across a 4 m long uniform wire having resistance \[\frac{4\Omega }{m}\] the cells of small m emfs \[{{\varepsilon }_{1}}=2\,V\] and \[{{\varepsilon }_{2}}=4\,V\] having internal resistance 2\[\Omega \] and 6\[\Omega \] respectively, are connected as shown in the figure. If galvanometer shows no deflection at the point N, the distance of point N from the point A is equal to

A) \[\frac{1}{6}m\]                        

B) \[\frac{1}{3}m\]

C) \[25m\] 

D) \[50m\]