Question

a spherical mirror is cut in half horizontally. will an image formed by the bottom half of the mirror?How?

Answer 1

when mirror is cut half horizontally then only the aperture area will become half there is no change in radius of curvature.

The radius of curvature is related to focal length by the formula

$f = \frac{R}{2}$

so as we cut the mirror horizontally the focal length will not change and hence the mirror will again form the image at same position as it was formed initially.

Now the light rays are reflected only by half of the aperture so the image formed by reflected light is of half intensity but the position will be same

So when we cut the mirror half horizontally then the image position will be same as initial but the intensity becomes half of initial