A sphere of refractive index $\sqrt{2}$ is kept in a space whose centre is O. A ray is incident at point ‘A’ of the sphere and after refraction at A it is internally reflected at point ‘B’ then refracted at ‘C’ and finally comes out from the sphere. It is given that the total deviation produced in the incident ray is minimum, if the angle of incidence is given by ${\text{i=sin}}^{\text{-1}}\left(\sqrt{\frac{2}{\text{λ}}}\right)$, then find the value of $\lambda$