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A small object is enclosed in a transparent solid sphere of radius 8 cm. The object is situated at 2 cm from the centre of the sphere. If its image appears to be at 3.2 cm from the nearest side then the refractive index of the material of the sphere is
Obtain expressions for reflection and transmission amplitude coefficients when
electric vector associated with a plane monochromatic e. m. wave is in the plane of
incidence.
Highlight the advantages offered by Fresnel bi-prism arrangement for observing
interference patterns.
An atomic system, consisting of two energy levels with population of higher energy
level less than that of the lower level, is in thermal equilibrium. Show that the
absorption of radiation dominates stimulated emission if radiation of appropriate
frequency is introduced into the system. Comment on the consequences of this fact
for laser action.
A plane wave of wavelength 600 nm falls on a long narrow slit of width 0.6 mm.
(i) Calculate the angles of diffraction for the first two minima. (ii) How are these
angles influenced if the width of slit is changed to 0.2 mm? (iii) If a convex lens of
focal length 0.2 m is now placed after the slit, calculate the separation between the
second minima on either side of the central maximum
A plano-convex lens of radius 1.0 m is placed on an optically flat glass plate and is illuminated by an extended monochromatic source. Assume that the point of contact is perfect. The diameters of the 15th and 5th dark rings in the reflected light are 5.90X 10^-3 m and 3.36X10^-3 m Next, the space between the lens and the glass plate is filled with a liquid. The diameter of the 5th ring changes to 3.0X10^-3 m.Calculate the refractive index of the liquid when the ring is (i) dark, and (ii) bright, if the wavelength of light is 589 nm
A double slit interference pattern is produced by a parallel beam of light passing
through two slits of unequal widths 20 λ and 40 λ, respectively, where λ is the
wavelength of the light used. The distance between the centres of the slits is
1,000 λ. If the fringes are observed on a screen far off from the slits (D >> 1,000 λ),
calculate the separation of two adjacent maxima.
Two slits separated by a distance of 0.32mm. A beam of 500nm light strikes the slits producing an interference pattern. Determine the number of maxima observed in the angular interval -30°<x<30°
Two plano convex lens each of radius 100 are placed with their curved surfaces in contact with each other. Newton's rings are formed by a light of wavelength 6000A°. Find the distance between 10th and 20th fringe.
A ray of light is incident on an equilateral glass prism shows minimum deviation is 30°. Calculate the speed of light through prism?