" Lens maker's formula "

What is lens maker formula ?

Write down the lens makers formula. Will there be change of focal length when immersed in water?

Draw a ray diagram showing the formation of the image by a point object on the principal axis of a spherical convex surface separating two media of refractive indices n_(1) and n_(2) , when a point source is kept in rarer medium of refractive index n_(1) . Derive the relation between object and image distance in terms of refractive index of the medium and radium of curvature of the surface. Hence obtain the expression for lens-maker's formula in the case of thin convex lens.

Obtain lens makers formula using the expression (mu_1)/u + (mu_2)/v = (mu_2-mu_1)/R Here the ray of light propagating from a rare r medium of rerfracitve index (mu_1) to a dneser medium of refractive indes (mu_2) is incident on the convex side of spherical refracting surface of radius of curvature R.

(a) Obtain lens makers formula using the expression n_2/v-n_1/u=((n_2-n_1))/R Here the ray of light propagating from a rarer medium of refractive index (n_1) to a denser medium of refractive index (n_2) is incident on the convex side of sperical refracting surface of radius of curvature R. (b) Draw a ray diagram to show the umage formation by concave mirror when the object is kept between its focus and the pole. Using this diagram, derive the magnification formula for the image formed.

By giving assumptions made, derive the lens maker formula for a double convex lens.