Physics

Problem

Consider reflection of light at a single plane mirror. a. (a) Derive an expression for the angle

\phi

between the incident and reflected rays in terms of the angle of incidence

i

. b. (b) Using your result, calculate

\phi

when

i = 47^{\circ}

. c. (c) If the incident ray is rotated through a small angle

\delta

while the mirror remains fixed, obtain an expression for the corresponding change in

\phi

. Hence find the change in

\phi

when

\delta = 3^{\circ}