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A cubical block of glass of refractive index n_1 is in contact with the surface of water of refractive index n_2. A beam of light is incident on vertical face of the block. After refraction a total internal reflection at the base and refraction at the opposite face take place. The ray emerges at angle theta as shown. The value of theta is given by

State the conditions of total internal reflection. Refractive indices of the given prism material for Red, Blue and Green colors are respectively 1.39, 1.48 and 1.42 respectively. Trace the path of rays through the prism.

Assertion: White light is incident on face AB of an isosceles right angled prism as shown. Colours, for which refractive index of material of prism is more than 1.414, will be able to emerge from the face AC. Reason:Total internal reflection cannot take place for the light travelling from a rarer medium to a denser medium.

A light ray from air is incident (as shown in figure ) at one end of a glass fiber ( refractive index mu=1.5) making an incidence angle of 60^(@) on the lateral surface, so that it undergoes a total internal reflection. How much time would it take to traverse the straight fiber of length 1 km ?

A point source S is placed at the bottom of different layers as shown in the figure. The refractive index of bottom most layer is mu_(0) . The refractive index of any other upper layer is mu(n)=mu_(0)-(mu_(0))/(4n-18) where n=1,2………….A ray of light with angle i slightly more than 30^(@) starts from the source S. Total internal reflection takes place at the upper surface of a layer having n equal to

A point source S is placed at the bottom of different layers as shown is figure,the refractive index of bottommost layer is mu_(0) The refractive index of any other upper layer is mu(n)=mu_(0)-(mu_(0))/(4pi-18) where n=1,2,..... A ray of light starts form the source S as shown. Total internal reflection takes place at the upper surface of a layer haing n equal to

Material A has critical angle i_(A) , and material B has critical angle i_(B)(i_(B)gti_(A)) . Then which of the following is true (i) Light can be totally internally reflected when it passes from B to A (ii) Light can be totally internally relected when it passes from A to B (iii) Critical angle for total internal reflection is i_(B)-i_(A) (iv) Critical angle between A and B is sin^(-1)((sini_(A))/(sin i_(B)))

A ray of light is incident from a denser to a rarer medium. The critical angle for total internal reflection is theta_(ic) and Brewster's angle of incidence is theta_(iB) such that (sintheta_(ic))/(sintheta_(iB))= eta=1.28 . The relative refractive index of the two media is

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 glass vessel in the shape of a triangular prism is filled with water, and light is incident normally on the face xy. If the refractive indices for water and glass are 4//3 and 3//2 respectively, total internal reflection will occur a the glass-air surface xz only for sin theta greater than A 1//2 B 2//3 C 3//4 D 8//9 E 16//27

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