A convex refracting surface of radius of curvature 20 cm separates two media of refractive indices 4/3 and 1.60. An object is placed in the first medium $(\mu =4/3)$ at a distance of 200 cm from the refracting surface. The position of the image formed is

Q. A convex surface of radius of curvature 40cm separates two media of refractive indices 4/3 and 1.50. An object is kept in the first medium at a distance of 20cm from the surface. Calculate the position of the image.

Q. A spherical surface of radius of curvature 10 cm separates two media X and Y of refractive indices 3/2 and 4/3 respectively. Centre of the spherical surface lies in denser medium. An object is placed in medium X. For image to be real, the object distance must be

Q. A point object is placed in air at a distance of $40$ cm from a concave refracting surface of refractive index $1.5$ If the radius of curvature of the surface is $20$ cm, then the position of the image is-

Q. (a) Derive the mathematical relation between refractive indices $n_1$ and $n_2$ of two media and radius of curvature R for refraction at a convex spherical surface. Consider the object to be a point since lying on the principle axis in rarer medium of refractive index $n_1$ and a real image formed in the denser medium of refractive index $n_2$. Hence, derive Lens Maker's formula.

(b) Light from a point source in air falls on a convex spherical glass surface of refractive index 1.5 and radius of curvature 20 cm. The distance of light source from the glass surface is 100 cm. At what position is the image formed ?

Q. A spherical convex surface separates object and image spaces of refractive indices $1.0$ and $4/3$. If radius of curvature of the surface is $10cm$, find its power.