Exam 34: Wave and Particle Optics

A single slit forms a diffraction pattern,with the first minimum at an angle of 40.0° from central maximum,using monochromatic light of 490-nm wavelength.What is the width of the slit?

A metal having a work function of 2.8 eV is illuminated with monochromatic light whose photon energy is 3.9 eV.What is the threshold frequency for photoelectron production? (h = 6.626 × 10^-34 J • s, 1 eV = 1.60 × 10^-19 J)

When a certain metal is illuminated by light,photoelectrons are observed provided that the wavelength of the light is less than 669 nm.Which one of the following values is closest to the work function of this metal? (h = 6.626 × 10^-34 J • s,c = 3.00 × 10⁸ m/s,1 eV = 1.60 × 10^-19 J)

A diffraction grating has 300 lines per mm.If light of wavelength 630 nm is sent through this grating,what is the highest order maximum that will appear?

Upon being struck by 240-nm photons,a metal ejects electrons with a maximum kinetic energy of 1)45 eV.What is the work function of this metal? (h = 6.626 × 10^-34 J • s,c = 3.00 × 10⁸ m/s, 1 eV = 1.60 × 10^-19 J)

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,and a fringe pattern is observed on a screen 4.8 m from the slits.If there are 5.0 complete bright fringes per centimeter on the screen near the center of the pattern,what is the wavelength of the monochromatic light?

If the diameter of a radar dish is doubled,what happens to its resolving power assuming that all other factors remain unchanged?

Two small forward-facing speakers are 2.50 m apart.They are both emitting,in phase with each other,a sound of frequency 1100 Hz in a room where the speed of sound is 344 m/s.A woman is standing opposite the midpoint between the speakers and is initially 35.0 m from the midpoint.As she slowly walks parallel to the line connecting the speakers,at what angle θ (relative to the centerline coming outward from the midpoint between the speakers)will she first hear no sound?

A lens is designed to work in the visible,near-infrared,and near-ultraviolet.The best resolution of this lens from a diffraction standpoint is

A thin beam of laser light of wavelength 514 nm passes through a diffraction grating having 3952 lines/cm.The resulting pattern is viewed on a distant curved screen that can show all bright fringes up to and including ±90.0° from the central spot.What is the TOTAL number of bright fringes that will show up on the screen?

A laser emits light of wavelength 463 nm during a brief pulse that lasts for 25 ms and has a total energy of 1.2 J.How many photons are emitted in that single pulse? (c = 3.00 × 10⁸ m/s, H = 6.626 × 10^-34 J • s)

A single slit is illuminated at normal incidence with a parallel beam of light having a wavelength of 411 nm.The entire central band of the diffraction pattern is observed at ±90°.The illumination is now replaced by a nonrelativistic beam of electrons,each having a kinetic energy of 980 eV.When this beam hits the slit at normal incidence,at what angle will the first minimum of the electron diffraction pattern occur? (h = 6.626 × 10^-34 J • s,m_el = 9.11 × 10^-31 kg,1 eV = 1.60 × 10^-19 J)

Light from a 600 nm source goes through two slits 0.080 mm apart.What is the angular separation of the two first order maxima occurring on a screen 2.0 m from the slits?

Monochromatic light of wavelength 500 nm is incident normally on a diffraction grating. If the third-order maximum of the diffraction pattern is observed at 32.0° from the central spot,how many TOTAL number of maxima can be seen?

A diffraction grating has rulings of 890 lines/mm.When white light is incident normally on the grating,what is the longest wavelength that forms an intensity maximum in the fifth order?

If the headlights on a car are separated by 1.3 m,how far down the road can they be resolved if the angular resolution of the eye is 5.0 × 10^-4 rad and the person has excellent vision?

In a double slit experiment,if the separation between the two slits is 0.050 mm and the distance from the slits to a screen is 2.5 m,find the spacing between the first-order and second-order bright fringes when coherent light of wavelength 600 nm illuminates the slits.

A single slit forms a diffraction pattern,with the first minimum at an angle of 40.0° from central maximum,when monochromatic light of 630-nm wavelength is used.The same slit,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?

A single slit illuminated with a 500 nm light gives a diffraction pattern on a far screen.The 5^th minimum occurs at 7.00° away from the central maximum.At what angle does the 18^th minimum occur?

A single-slit diffraction pattern is formed on a distant screen.Assuming the angles involved are small,by what factor will the width of the central bright spot on the screen change if the slit width is doubled?