Exam 34: Wave and Particle Optics

At most,how many bright fringes can be formed on each side of the central bright fringe (not counting the central bright fringe)when light of 625 nm falls on a double slit whose spacing is 1)97 × 10^-6 m?

Light of wavelength 105 nm falls on a metal surface for which the work function is 5.00 eV.What is the minimum de Broglie wavelength of the photoelectrons emitted from this metal? (h = 6.626 × 10^-34 J • s = 4.14 × 10^-15 eV • s,c = 3.00 × 10⁸ m/s,m_el = 9.11 × 10^-31 kg,1 eV = 1.60 × 10^-19 J)

A 10-inch telescope (25.4 cm in diameter)is used to determine if what appears to be one star is actually two stars.Stars are so far away that they are essentially point sources.How close (in angle)can the two stars be and still be resolved by this telescope if it is focusing light of wavelength of 550 nm? (Consider only the limitation due to diffraction.)

A double slit illuminated with light of wavelength 588 nm forms a diffraction pattern on a screen 11.0 cm away.The slit separation is 2464 nm.What is the distance between the third and fourth bright fringes away from the central fringe?

A metallic sheet has a large number of slits,5.0 mm wide and 20 cm apart,and is used as a diffraction grating for microwaves.A wide parallel beam of microwaves is incident normally on the sheet.What is the smallest microwave frequency for which only the central maximum occurs? (c = 3.00 × 10⁸ m/s)

Two optically flat glass plates,16.0 cm long,are in contact at one end and separated by 0.0200 mm at the other end.The space between the plates is occupied by oil with index of refraction 1.45.The index of refraction of the glass plates is 1.55.The plates are illuminated at normal incidence with monochromatic light,and fringes are observed.If the dark fringes are spaced 2.00 mm apart,what is the wavelength of the monochromatic light?

Light of wavelength 519 nm passes through two slits.In the interference pattern on a screen 4.6 m away,adjacent bright fringes are separated by 5.2 mm in the general vicinity of the center of the pattern.What is the separation of the two slits?

Light of wavelength 575 nm passes through a double-slit and the third order bright fringe is seen at an angle of 6.5° away from the central fringe. What is the separation between the double slits?

Light of wavelength 633 nm from a He-Ne laser passes through a circular aperture and is observed on a screen 4.0 m behind the aperture.The diameter of the central bright area is 5.4 cm.What is the diameter of the aperture?

In a single-slit diffraction experiment,the width of the slit through which light passes is reduced.What happens to the width of the central bright fringe?

Light is incident normally from air onto a liquid film that is on a glass plate.The liquid film is 164 nm thick,and the liquid has index of refraction 1.60.The glass has index of refraction n = 1.50.Calculate the longest visible wavelength (as measured in air)of the light for which there will be totally destructive interference between the rays reflected from the top and bottom surfaces of the film.(Assume that the visible spectrum lies between 400 and 700 nm.)

A single slit forms a diffraction pattern with monochromatic light.The 4th minimum of the pattern occurs at an angle of 35° from the central maximum.How many bright bands are on each side of the central maximum?

If an x-ray beam of wavelength 1.4 × 10^-10 m makes an angle of 30° with a set of planes in a crystal causing first order constructive interference,what is the plane spacing?

What is the energy of a photon that has a wavelength equal to the de Broglie wavelength of a proton having a speed of 7.1 × 10⁴ m/s? (m_proton = 1.67 × 10^-27 kg,c = 3.00 × 10⁸ m/s)

A 360-nm thick oil film floats on the surface of the water.The indices of refraction of the oil and the water are 1.5 and 1.33,respectively.The surface of the oil is illuminated from above at normal incidence with white light.What TWO wavelengths of light in the 400-nm to 800-nm wavelength band are most strongly reflected?

In a double-slit experiment,if the slit separation is increased,which of the following happens to the interference pattern shown on the screen?

A diffraction grating has 300 lines per mm.If light of frequency 4.76 × 10¹⁴ Hz is sent through this grating,at what angle does the first order maximum occur? (c = 3.00 × 10⁸ m/s)

Treat each of your eyes as a circular aperture of diameter 3.5 mm.Light of wavelength 500 nm is used to view two point sources that are 894 m distant from you.How far apart must these two point sources be if they are to be just resolved by your eye? Assume that the resolution is diffraction limited and use Rayleigh's criterion.

A nonrelativistic electron and a nonrelativistic proton have the same de Broglie wavelength.Which of the following statements about these particles are accurate? (There may be more than one correct choice.)

In a diffraction grating experiment,light of 600 nm wavelength produces a first-order maximum 0.350 mm from the central maximum on a distant screen. A second monochromatic source produces a third-order maximum 0.870 mm from the central maximum when it passes through the same diffraction grating. What is the wavelength of the light from the second source?