Consider a potentiometer circuit, Primary cell is ideal. The length of potentiometer wire is 1 m and the resistance per unit length of potentiometer wire varies with length as `lamda=2xOmega//m`. Where x is distace from end A. Resistance of Rheostat varies with time as `R=I^(2)Omega` Null deflection point for secondary cell is obataied at `x=1/2` m and at t=1 sec. If emf of secondary cell is `1/gamma` times of emf of primary cell, find `gamma`.

Answer

B