A battery of emf `E_(0) = 12 V` is connected across a `4 m` long uniform wire having resistance `(4 Omega)/(m)`. The cells of small emfs `epsilon_(1) = 2 V` and `epsilon_(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 teh point `A` is equal to A. `1/6m`B. `1/3 m`C. `25 cm`D. `50 cm`

A battery of emf `E_(0) = 12 V` is connected across a `4 m` long unifo

1.	A battery of emf `E_(0) = 12 V` is connected across a `4 m` long uniform wire having resistance `(4 Omega)/(m)`. The cells of small emfs `epsilon_(1) = 2 V` and `epsilon_(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 teh point `A` is equal to A. `1/6m`B. `1/3 m`C. `25 cm`D. `50 cm`
Answer» Correct Answer - C `E_(eq)=(E_(2)r_(2)-E_(2)r_(1))/(r_(1)+r_(2))=(2xx6-4xx2)/(6+2)=1/2` volt At balancing length `l` `E_(eq)=(E_(0))/(R+16)xx4limplies1/2=12/(8+16)xx4xxl` `l=25 cm`

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