A flat circular mirror of radius 0.120 m is lying on the floor. Centered above the mirror, at a height of 0.830 m, is a light source. Calculate the diameter of the bright circular spot formed on the 2.90 m high ceiling by the light reflected from the mirror

I tried drawing a figure but I just cant get it to work. I need some help. It looks like it involver the mirror equation.

1 answer

Assume the light is a point source. Rays reflected by the circular mirror form a conical beam that spreads upward, starting with 0.120 m radius at the mirror to a radius of 0.120*(0.83+2.90)/(0.83) = 0.593 m at the ceiling.