Two parallel beams of light P and Q are incident normally on a prism and the transmitted rays are brought to focus with the help of a convergent lens as shown in Fig. 2.23. If the intensities of the upper and lower beams immediately after transmission from face AC are 4I abd I, respectively, find the resultant intensity at the focus.

Two parallel beams of light P and Q (separation d) containing radiations of wavelengts 4000Å and 5000 Å (which are mutually coherent in each wavelength separately) are incident normally on a prism as shown in figure the refractive index of the prism as a function of wavelength is given by the relation mu(lamda)=1.20+(b)/(lamda^(2)) where lamda is in Å and b is a positive constant. The value of b is such that the condition for total reflection at the face AC is just satisfied for one wavelength and is not satisfied for the other. A convergent lens is used to bring these transmitted beams into focus. If the intensities of the upper and the lower beams immediately after transmission from the face AC, are 4I and I respectively, find the resultant intensity at the focus.

Two parallel beams of light P and Q (separation d) containing radiations of wavelengts 4000Å and 5000 Å (which are mutually coherent in each wavelength separately) are incident normally on a prism as shown in figure the refractive index of the prism as a function of wavelength is given by the relation mu(lamda)=1.20+(b)/(lamda^(2)) where lamda is in Å and b is a positive constant. The value of b is such that the condition for total reflection at the face AC is just satisfied for one wavelength and is not satisfied for the other. A convergent lens is used to bring these transmitted beams into focus. If the intensities of the upper and the lower beams immediately after transmission from the face AC, are 4I and I respectively, find the resultant intensity at the focus.

Two parallel beams of light P and Q (separation d) containing radiation of wavelengths 4000A and 5000A (which are mutually coherent in each wavelength separately) are incident normally on a prism as shown in fig. The refractive index of the prism as a function of wavelength is given by the relation. mu(lamda)=1.20+(b)/(lamda^(2)) Where lamda is in A and b is positive constant. The value of b is such that the condition wave length and is not satisfied for the other. (a) Find the value of b. (b) find the deviation of the beams transmitted through the face AC. (c) A convergent lens is used to bring these transmitted beams into focus. If the intensities of transmission form the face AC, are 41 and I respectively, find the resultant intensity at the focus.

A parallel beam of light is incident on a prism as shown in figure. Such that the rays get reflected from opposite faces. The angle of deviation delta between reflected rays from faces AB and AC is-

A mixture of plane polarised and unpolarised light falls normally on a polarising sheet. On rotating the polarising sheet about the direction of the incident beam, the transmitted intensity varies by a factor 4. Find the ratio of the intensities I_(P) and I_(0) respectively of the polarized and unpolarised components in the incident beam. Next the axis of polarising sheet is fixed at an angle of 45^(@) with the direction when the transmitted intensity is maximum. Then obtain the total intensity of the transmitted beam in terms of I_(0) . [(3)/(2),(5I_(0))/(4)]

A beam of light of intensity I_1 is incident on a tourmaline crystal and then on another tourmaline crystal. The transmission axes of both crystals are parallel to each other. If the intensity of light transmitted through the second crystal be I_2 , then :

An unpolarised beam of light of intensity I_0 is incident on a combination of two polaroids.Find the net intesity of light of intensity transmitted by the combinatin,when the pass axis of the two polaroids are inclined to each other at an angle of 60^@ .