The reflective surface is a mirror. It can be highly polished metal or chromed, the surface of a calm area of water, or a flat glass plate with a silvered back and a protective coating.
a mirror
Otherwise the image formed will be blurred and mostly distorted. That is why we expect the surface of the mirror to be optically plane. Hence smooth.
it must be smooth
That surface would be called a "mirror".
If the surface is shiny then you might get an image on a screen. If the surface is transparent as well then refraction well also take place.
a mirror
This could be a basic definition of a mirror.
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Some light that falls on any surface is scattered back (reflected). A rough surface tends to scatter the light in different directions while a smooth surface tends to scatter more of the original (incident) rays straight back. This explains why a smooth surface reflects a "clearer" image than that reflected from a rough surface.
mirror
Otherwise the image formed will be blurred and mostly distorted. That is why we expect the surface of the mirror to be optically plane. Hence smooth.
A plane (flat) mirror reflects an image which is the same size and shape, and colour as the object in front of the mirror. A concave mirror can produce a magnified image. If the image is in front of the mirror it is a real image; if behind it is a virtual (non-real) image. A real image can be cast upon a white the best) surface
mirror mean: when you look through it you can see a reflection of your self.
Severe distortion.
it must be smooth
That surface would be called a "mirror".
The light on a rough surface reflects randomly and moves in random directions so therefore the original order has been disrupted so the new image will not resemble anything and is too spread out.