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

Explanation

Refraction at AB:
`1xxsin45^@=sqrt2xxsinr`
`(1)/(sqrt2)=sqrt2sinr`
`sinr=(1)/(2)=sin30^@` ltBrgt `r=30^@`
The incident ray on spherical surface CD is parallel to bese.
Refracion at spherical surface:
`mu_1sqrt2,mu_2=2sqrt2,u=infty,R=0.4m,v=?`
`(mu_2)/(v)-(mu_1)/(u)=(mu_2-mu_1)/(R)`
`(2sqrt2)/(v)-(sqrt2)/(infty)=(2sqrt2-sqrt2)/(0.4)`
`v=0.8m`
`OE=0.8`m