Five resistors of resistance $1\Omega ,1\Omega ,2\Omega ,3\Omega$ and $4\Omega ,$ a battery of voltage 10V, an ideal ammeter and five switches $S_1,S_2,S_3,S_4$ and $S_5$ are connected in a circuit as shown in the figure. When $S_3$ and $S_5$ are closed and $S_1,S_2$ and $S_4$ remain opened then current read by ammeter is $i_1.$ When $S_1,S_3$ and $S_5$ are closed and $S_2,S_4$ remain opened then current read by ammeter is $i_2.$ The ratio of current $\frac{i_1}{i_2}$ is given by $0.11\times \lambda .$ Find the value of $\lambda .$