We know that a plane mirror can reflect rays more precisely so we can get a more accurate image. So why can't we use a plane mirror instead of a projection screen?
2 Answers
Using a plane mirror would be a problem only because it can reflect the rays more precisely or what can be called as a specular reflection.Using a screen rather than a mirror would make the reflection diffuse in almost all directions equally called as a diffused reflection.Using diffused reflection rather than specular reflection is important and this could be explained using a simple analogy.Consider the objects you see in daily life they can be seen from any direction because they diffusely reflect the light whereas the image you see on a mirror changes with the direction of your view.Using a mirror would make the image appear different for different audience.The left part of the diverging beam falling onto the mirror would mostly reflect to the left side and can only be seen by the audience on the left side and vice-versa.This wouldn't be a case with a screen which diffuses light falling onto it.
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$\begingroup$ Okay I got you, thanks. But why an image cannot be formed on a rough surface like that of a wall or paper after all they will also cause diffuse reflection? $\endgroup$ Commented Oct 11, 2016 at 6:36
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1$\begingroup$ The material which can be used as a screen must also have the ability to reflect most of the light i.e., high reflectance rather than high absorptance so using a white screen rather than a dark wall is better. $\endgroup$– KnightCommented Oct 11, 2016 at 6:40
No Problem, you will end up getting a much clearer image provided you can clearly see faraway things. The reason I said that is because by using a plane mirror, the image will be formed behind the mirror. The reflected rays will not reach you directly, but further form a virtual image of the projector's image.