The equation of refraction at a spherical surface is
` ( mu_2 )/(v ) - (mu_1)/(u ) =(mu_2 -mu_1)/( R ) .`Taking R= infinity , show that this equation leads to the equation `(" real depth ")/( "Apparent depth") =(mu_1)/( mu_2)` for refraction at a plane surface .

Is the formula "Real depth/Apparent depth = mu." valid if viewed from a position quite away from the normal ?

Identify the statements are True of False. a. The equation (mu_(2))/(v)-(mu_(1))/(u)=(mu_(12)-mu_(1))/(R) is applicabel to a plane surface for R=oo . h. In the above equation, mu_(1) is medium in which the object is placed and mu_(2) is the medium in which the image is formed. c. In the figure shown, the real image of object O is formed at a distance 5R in the medium. d. In figure, the image of an object O place on the center face of the sphere is formed at infinity,. e. In fig , the image of an object O placed on the opposite face of the sphere is foremd at infinity.

The figure shows a ray incident a angle i=pi//3 of the plot drawn shown the variartion of |r-i| versus (mu_(1))/(mu_(2)) =k, (r="angle of refraction") the value of k_(1) is

What is the relation between the refractive indices mu,mu_(1) and mu_(2) if the behaviour of light rays is shown in Figure.

In above question if observer is in medium mu_(3) what is the apparenet depth of object seen below surface 1CD .

The diagram shows a spherical surface which separates two media of refractive index, mu_(1) and mu_(2) . Respectively. Now, a point object is placed on the principal axis as shown in the figure. Then

Monochramatic light is incident on the pLane interface AB between two media of refractive indices mu_1 and mu_2(mu_2gtmu_1) at an angle of incidence theta as shown in figure. The angle theta is infinitesimally greater thannte critical angle for the two media so thast total internal reflection takes place. Now, if a transparent slab DEFG of uniform thickness and of refractive inde mu_2 is introduced on theinterface (as shown in figure ) , show that for any value of mu_2 all light will ultimately be reflected back into medium II.

A spherical surface of radius R ssparates two media of refractive indices mu_(1) and mu_(1) as shown in figure., Where should an object be placed in medium 1 so that a real image is formed in medium 2 at the same distance?

The radii of curvature of two spherical surfaces of a concave convex lens (mu=1.5) are 20 cm and 40 cm. (i) What is its focal length when it is in air? Also find its focal length when it is immersed in a liquid of refractive index (ii) mu=1.2 (iii) mu=2

Obtain an expression for refraction at a single convex spherical surface separating the two media having refractive indices mu_(1) (rarer medium) and mu_(2) (denser medium) i.e., a relation between u, v, mu_(1),mu_(2) and R.