a) Yes
Plane and convex mirrors can produce real images as well. If the object is virtual, i.e, if the light rays converging at a point behind a plane mirror ( or a convex mirror) are reflected to a point on a screen placed in front of the mirror, then a real image will be formed.
No
A virtual image is formed when light rays diverge. The convex lens of the eye causes these divergent rays to converge at the retina. In this case, the virtual image serves as an object for the lens to produce a real image.
c) The diver is in the water and the fisherman is an land (i.e. in air).Water is a denser medium that air. it is given that the diver is viewing the fisherman. This indicates that the light rays are travelling from a denser medium to a rarer medium. Hence, the refracted rays will move away from the normal. As a result, the fisherman will appear to be taller.
d) Yes, Decreases
The apparent depth of a tank of water changes when viewed obliquely. This is because light bends on travelling from one medium to another. The apparent depth of the tank when viewed obliequely is less than near-normal viewing.
e) Yes
The refractive index of diamond (2.42) is more than that of ordinary glass. The critical angle for diamond is lesss than that for glass. A diamond cutter uses a large angle of incidence to ensure that the light entering the diamond is totally reflected from its faces. This is the reason for the sparkling effect of a diamond.