In a projection lantern at least half the light from the lamp is headed in the wrong direction; where would you put a mirror and what type would you use, to return this light to the vicinity of the filament, this time headed in the right direction?
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To redirect the light in the right direction, you would need to place a mirror in the projection lantern. The type of mirror you would use is called a "front surface mirror" or "first surface mirror."
Here's how you can determine the correct placement of the mirror:
1. Identify the area where the light is currently headed in the wrong direction. This is the region where the light needs to be redirected.
2. Position the mirror in a way that it intercepts the light that is headed in the wrong direction. The mirror should be placed so that the light hits its front surface.
3. Align the mirror in a manner that it reflects the intercepted light back towards the vicinity of the filament where it should be heading. This can be achieved by angling the mirror appropriately.
By using a front surface mirror in the projection lantern, the intercepted light will reflect off the mirror's surface, redirecting it towards the vicinity of the filament in the correct direction.