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Spherical Refraction

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Discuss refraction from denser to rerer medium at a convex spherical refracting surface.

The relation governing refraction of light from rarer to denser medium at a spherical refracting surface is

Discuss briefly refraction from rarer to denser medium at a concave spherical refracting surface.

If f_(1) and f_(2) represent the first and second focal lengths of a single spherical refracting surface, then

An object is placed at a distance of 10 cm (in a medium of μ = 1) from the pole of a spherical refracting surface bounding a medium of μ = 1.5. If the image formed is virtual and at a distance of 40 cm, then the spherical surface is –

Prove that (-mu_1)/(u)+(mu_2)/(v) = (mu_2 - mu_1)/( R) when refraction occurs from rarer to denser medium at a concave spherical refracting surface.

A convex spherical refracting surfaces separates two media glass and air (mu_g=1.5). If the image is to be real, at what minimum distance u should the object be placed in air if R is the radius of curvature

A convex spherical refracting surface with radius R separates a medium having refractive index 5//2 from air. As an object is moved towards the surface from far away from the surface along the principle axis, its image