Question

A reflecting surface is represented by the equation $x^2+y^2=a^2$. A ray travelling in negative x – direction is directed towards positive y-direction after reflection from the surface at point P. Then co-ordinates of point P are

• A. (0.8 a, 0.6 a)
• B. (0.6 a, 0.8 a)
• C. $(\frac{a}{\sqrt{2}},\frac{a}{\sqrt{2}})$
• D. None of these

Answer 1

The correct option is C $(\frac{a}{\sqrt{2}},\frac{a}{\sqrt{2}})$



The ray diagram is as shown.
$x=\frac{a}{\sqrt{2}}$
and $y=\frac{a}{\sqrt{2}}$
$\therefore$ $P=(\frac{a}{\sqrt{2}},\frac{a}{\sqrt{2}})$