Physics

Problem

Two identical equilateral glass (refractive index

= \sqrt{2}

) prisms

ABC

and

CDE

are kept such that the angle between faces

AC

and

CE

\theta

. A ray of light is incident at an angle

i

at the face

AB

and traverses through the two prisms along the path

PQRSTU

. Find the value of angle

i

and

\theta

such that angle between the incident ray

PQ

and emergent ray

TU

is minimum.