(a) How many bright fringes appear between the first diffraction-envelope minima to either side of the central maximum in a double-slit pattern if l = 550 nm, d = 0.150 mm, and a = 30.0 mm? (b) What is the ratio of the intensity of the third bright fringe to the intensity of the central fringe?

When laser light of wavelength 632.8 nm passes through a diffraction grating, the first bright spots occur at ±17.8° from the central maximum. (a) What is the line density (in lines/cm) of this grating? (b) How many additional bright spots are there beyond the first bright spots, and at what angles do they occur?

Coherent electromagnetic waves with wavelength l = 500 nm pass through two identical slits. The width of each slit is a, and the distance between the centers of the slits is d = 9.00 mm. (a) What is the smallest possible width a of the slits if the m = 3 maximum in the interference pattern is not present? (b) What is the next larger value of the slit width for which the m = 3 maximum is absent?

(a) If the distance between two slits in Young's double slit experiment is 1.0 mm, the distance between the slits and the detection screen is 2 m, and the distance between central max- imum and second order fringe at the screen is 1 mm, then determine the wavelength of the incident radiation. On which part of the electromagnetic spectrum will it lie? What should be the expected distance between the slit and screen for the same experimental setup when we use the radio waves incident on the double slits. (b) White light is incident on the thin laminar layer of the soap having refractive index 1.33 and thickness 4000 Å. Which wavelengths from the normally incident white light will be reflected most by this thin soap film and why?

A double slit produces a diffraction pattern that is a combination of single and double slit interference. Find the ratio of the width of the slits to the separation between them, if the first minimum of the single slit pattern falls on the fifth maximum of the double slit pattern. (This will greatly reduce the intensity of the fifth maximum.)

In two-slit interference, if the slit separation is 14 mm and the slit widths are each 2.0 mm, (a) how many two-slit maxima are in the central peak of the diffraction envelope and (b) how many are in either of the first side peak of the diffraction envelope?

The intensity of the single-slit diffraction pattern at any angle 0 is given by 1 (0) = 1m (sing)². For light of wavelength 480 nm falling on a slit of width 3.5 µm, what is the value of a when 8 = 18°? 7.1 rad 0.31 rad 7.3 rad 2.3 rad 9.8 rad

A 546-nm light is used in a double-slit apparatus. The fifth dark fringe is observed at 0.113° from the centerline, calculate the slit separation.

In a diffraction grating the width of opaque space is 2.5µm and clear space is 1.5um. Calculate the intensity ratio of 2nd and 4th order principle maxima for 1=500 nm.

In Young's double slit experiment using monochromatic light the fringe pattern shifts by a certain distance on the screen when a mica sheet of refractive index 1.6 and thickness 1.964 microns is introduced in the path of one of the interfering waves. The mica sheet is then removed and the distance between the slits and the screen is doubled. It is found that the distance between successive maxima (or minima) now is the same as the observed fringe shift upon the introduction of the mica sheet. Calculate the wavelength of the monochromatic light used in the experiment