Question

A reflecting surface is represented by the equation x² +y² = a². A ray travelling in negative x direction is directed towards positive y direction after refraction from the surface at point P. Then the coordinates of point P are 

(a) (0.8a, 0.6a) 

(b) (0.6a, 0.8a) 

(c) [(a/√2), (a/√2)] 

(d) none 

(e) [(a/2), (a/2)]

Answer 1

X = a/√2, y = a/√2 

x = a cos 45º ⇒ a/√2 = x 

y = a cos 45º ⇒ a/√2 = y 

Hence coordinates [(a/√2), (a/√2)]