Exam 17: Wave Optics

A single slit illuminated with a 500 nm light gives a diffraction pattern on a far screen with its first order minimum m = 5 at 7.00° from zeroth order.At what angle does the order m = 18 occur?

Light from a lamp,which emits light at several discreet different wavelengths,illuminates an 800 line/mm diffraction grating.A screen is placed 50.0 cm behind the grating where the light is observed.Light of wavelength 501.5 nm creates a first-order bright fringe 21.90 cm from the central maximum.What is the wavelength of the bright fringe that is 34.20 cm from the central maximum?

Two radio antennas are 120 m apart on a north-south line.The two antennas radiate in phase at a frequency of 5.6 MHz.All radio measurements are made far from the antennas.The smallest angle,reckoned north of east from the antennas,at which destructive interference of the two radio waves occurs,is closest to:

A 17 mm wide diffraction grating has rulings of 530 lines per mm.Light is incident normally on the grating.The longest wavelength that forms an intensity maximum in the fifth order is closest to:

A spectroscopist has a spectrometer equipped with a grating with 600 grooves/mm.This grating puts a 1228 nm wavelength range on a spectroscopic plate (a CCD)in order m = 5.The spectroscopist now changes the spectroscopic plate CCD by one that is larger by a factor of 3.What spectral range will be accepted when the spectroscopist observes the lines in order m = 4 with the new,larger spectroscopic plate?

A grating with 396 lines/mm is illuminated with light of wavelength 343 nm.What is the angular separation between the two lines formed in order m = 2?

A single slit forms a diffraction pattern,with the first minimum at an angle of 40° from central maximum.Monochromatic light of 410 nm wavelength is used.The same slit,illuminated by a different monochromatic light source,produces a diffraction pattern with the second minimum at a 60° angle from the central maximum.The wavelength of this light,in nm,is closest to:

A beam of light passes through two small parallel slits and shines on a screen.The intensity of the light at the central bright spot on this screen will be twice as bright as the intensity of light coming from each hole.

An 18 mm wide diffraction grating has rulings of 710 lines per mm.Light is incident normally on the grating.Monochromatic light of 506 nm wavelength is used.The largest angle from the normal at which an intensity maximum is formed is closest to:

The spacing of ruled lines on a diffraction grating is 1770 nm.The grating is illuminated at normal incidence with a parallel beam of white light in the 400 nm to 700 nm wavelength band.The longest wavelength that appears in the third order spectrum is closest to:

How wide is a single slit that gives its first minimum at 90°?

Light of wavelength 560 nm illuminates a single slit placed 60 cm from a screen.The separation between the first and third minima in the diffraction pattern is 2.8 mm.What is the slit width?

Light of wavelength 500 nm illuminates a 0.50 mm diameter hole.A screen is placed 6.0 m behind the slit.What is the width of the central maximum on the screen?

An oil film (n = 1.48)of thickness 290 nm floating on water is illuminated with white light at normal incidence.What is the wavelength of the dominant color in the reflected light?

What is the angular separation of two spectral lines of wavelengths 417 nm and 388 nm formed in order m = 2 with a 456 line/mm grating?

A diffraction grating produces its first-order bright spot at an angle of 40°.If you want to reduce this angle to 20° for the same wavelength of light,you must double the line density of the grating.

A 2-slit arrangement with 60.3 μm separation between the slits is illuminated with 482.0 nm light.Assuming that a viewing screen is located 2.14 m from the slits,find the distance from the first dark fringe on one side of the central maximum to the second dark fringe on the other side.

A double slit illuminated with light of wavelength 644 nm forms a diffraction pattern on a screen 6 cm away.The slit separation is d = 2783 nm.What is the distance Δx between orders m = 14 and m = 9?

Situation 17.2 A pair of narrow slits,separated by 1.8 mm,is illuminated by a monochromatic light source.Light waves arrive at the two slits in phase.A fringe pattern is observed on a screen 4.8 m from the slits. -In Situation 17.2,monochromatic light of 450 nm wavelength is used.The angular separation between adjacent dark fringes on the screen,measured at the slits,in m rad,is closest to:

When light passing through a diffraction grating falls on a distant screen,the interference bright spots are equally spaced along the screen.