Exam 28: Physical Optics: Interference and Diffraction

Using monochromatic light of 410 nm wavelength,a single thin slit forms a diffraction pattern,with the first minimum at an angle of 40.0° from central maximum.The same slit,when illuminated by a new monochromatic light source,produces a diffraction pattern with the second minimum at a 60.0° angle from the central maximum.What is the wavelength of this new light?

Two radio antennas are 130 m apart on a north-south line.The two antennas radiate in phase at a frequency of 3.6 MHz.All radio measurements are made far from the antennas.What is the smallest angle,reckoned east of north from midway between the antennas,at which constructive interference of two radio waves occurs? (c = 3.00 × 10⁸ m/s)

In a two-slit experiment,monochromatic coherent light of wavelength 600 nm passes through a pair of slits separated by 2.20 × M.At what angle away from the centerline does the first bright fringe occur?

An optical engineer needs to ensure that the bright fringes from a double-slit are 15.7 mm apart on a detector that is From the slits.If the slits are illuminated with coherent light of wavelength 633 nm,how far apart should the slits be?

A diffraction grating has 450 lines per millimeter.What is the highest order m that contains the entire visible spectrum from 400 nm to 700 nm?

A single thin slit forms a diffraction pattern,with the first minimum at an angle of 40.0° from central maximum.If monochromatic light of 530.0-nm wavelength is used for the illumination,what is the width of the slit?

The distance between the ruled lines on a diffraction grating is 1,900 nm.The grating is illuminated at normal incidence with a parallel beam of white light in the 400 nm to 700 nm wavelength band.What is the angular width of the gap between the first order spectrum and the second order spectrum?

Light of wavelength 500 nm illuminates a round 0.50-mm-diameter hole.A screen is placed 6.0 m past the slit.What is the width of the central bright circle on the screen?

Two light sources are said to be coherent if they are

Two thin slits are 6.00 μm apart.Monochromatic coherent light falls on these slits,and produces a fifth-order bright interference fringe at an angle of 32.3° away from the centerline.What is the wavelength of the light?

The wavelength of light in a thin film is 360 nm and the wavelength of light in vacuum is 469 nm.What is the index of refraction for the film?

When light illuminates a diffraction grating with 7000 lines per centimeter,its second order maximum is at 62.4°.What is the wavelength of the light?

What is the limiting angle of resolution for a lens of radius 2.0 mm when viewing with light having a wavelength of 600 nm?

The distance between the ruled lines on a diffraction grating is 1,770 nm.The grating is illuminated at normal incidence with a parallel beam of white light in the 400 nm to 700 nm wavelength band.What is the longest wavelength that appears in the third order spectrum?

Monochromatic coherent light shines through a pair of slits.If the distance between these slits is decreased,which of the following statements are true of the resulting interference pattern? (There could be more than one correct choice. )

Monochromatic coherent light shines through a pair of slits.If the wavelength of the light is decreased,which of the following statements are true of the resulting interference pattern? (There could be more than one correct choice. )

Coherent light of wavelength 575 nm falls on a double-slit and the third-order bright fringe is seen at an angle of 6.5° away from the centerline.How far apart are the double slits?

At most,how many bright fringes can be formed on one side of the central bright fringe (not counting the central bright fringe)when light of 625 nm falls on a pair of slits that are Apart?

What do we mean when we say that two light rays striking a screen are in phase with each other?

If a sheet containing a single thin slit is heated (without damaging it)and therefore expands,what happens to the width of the central bright diffraction region on a distant screen?