" Derive lens makers formula? "

A lens of particular focal length is made from a given glass by adjusting radius of curvature. The formula applied in this case is lens maker's formula. Derive lens maker's formula considering refraction at a spherical surface

(a) Derive lens maker's formula for a biconvex lens. (b) A point object is placed at a distance of 12 cm on the principal axis of a convex lens of focal length 10 cm. A convex mirror is placed coaxially on the other side of the lens at a distance of 10 cm. If the final image coincides with the object, sketch the ray diagram and find the focal length of the convex mirror.

Derive lens maker's formula for a thin concave lens.

Derive lens maker's formula for a thin convex lens.

Derive lens maker's formula for a spherical surface.