A small pin is placed at the point (−10cm,2cm) in a coordinate system whose y-axis coincides with a vertical plane mirror located at x=0. A narrow light ray leaves the tip of the pin making an angle of 45∘ above the +x-axis and travels until it strikes the mirror.
Assume the entire setup is in air and neglect any beam divergence.
(a) Determine the coordinates of the point on the mirror where the light ray first strikes.
(b) Calculate the angle between the incident ray and the normal to the mirror at the point of incidence.
(c) Write the equation, in slope–intercept form, of the reflected ray that leaves the mirror.
(d) A translucent screen is positioned horizontally at y=4cm. Find the x-coordinate where the reflected ray intersects this screen.