Manipal Entrance Test 2015 Physics Paper

Figure shows an irregular block of material of refractive index √2. A ray of light strikes the face AB as shown in figure. After refraction, it is incident on a spherical surface CD of radius of curvature 0.4 m and enters a medium of refractiveindex 1.514 to meet PQ at E. Find the distance OE upto two places of decimal.