A ray of light travelling in air is incident on a composite transparent slab at an angle of  incidence $i={45}^o.$ The composite slab consist of 100 parallel faced slices of equal  thickness. The refractive index of the nth slice (counting from the one on which light is incident) is given by ${\mu }_n=1.0+0.01n.$ The medium on the other side of the slab has  refractive index of $\sqrt{2}.$ If the angular deviation suffered by the ray is 5x degrees, then the  value of x is?