Ray diagrams of Lenses

Explain the rules for construction of ray diagrams for lenses.

Derive the lens formula, (1)/(2)=(1)/(v)-(1)/(u) for a concave lens, using the necessary ray diagram. Two lenses of powers 10 D and -5 D are placed in contact. (i) Calculate the power of the new lens. (ii) Where should an object be held from the lens, so as to obtain a virtual image of magnification 2?

State the rules to draw a ray diagram of a convex lens with proper figures.

Ray diagram for two lenses kept at some distance given in the diagram, which of the following option is correct ( f_(1),f_(2) = focal length, d = distance between lenses)

Ray diagram for Concave Mirror

Complete the following ray diagram to show refraction of light through a glass slab and label the incident ray, refracted ray and emergent ray.

Draw ray diagrams for incident rays at angle of incidence less than critical angle and more than critical angle?