Question 1

Light of wavelength 687 nm is incident on a single slit 0.75 mm wide. At what distance from the slit should a screen be placed if the second dark fringe in the diffraction pattern is to be 1.7 mm from the center of the diffraction pattern?

Accepted Answer

A)   0.39 m
B)   0.47 m
C)   0.93 m
D)   1.1 m
E)   1.9 m C

Question 2

A metal having a work function of 2.5 eV is illuminated with white light that has a continuous wavelength band from 400 nm to 700 nm.For which one of the following ranges of the wavelength band in this white light are photoelectrons NOT produced? (h = 6.626 × 10-34 J • s,c = 3.00 × 108 m/s,
1 eV = 1.60 × 10-19 J)

Accepted Answer

A)   500 nm to 700 nm
B)   400 nm to 560 nm
C)   500 nm to 560 nm
D)   400 nm to 500 nm
E)   560 nm to 700 nm A

Question 3

Light of wavelength 500 nm illuminates a round 0.50-mm diameter hole.A screen is placed 6.3 m behind the slit.What is the diameter of the central bright area on the screen?

Accepted Answer

A)   15 mm
B)   270 μm
C)   7.7 mm
D)   3800 μm A

Question 4

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.If the microwave wavelength is 6.0 cm,what is the largest angle away from the central maximum at which an intensity maximum occurs.

Accepted Answer

A)   64°
B)   69°
C)   74°
D)   79°
E)   84°

Question 5

A nonrelativistic electron is accelerated from rest through a potential difference.After acceleration the electron has a de Broglie wavelength of 880 nm.What is the potential difference through which this electron was accelerated? (h = 6.626 × 10-34 J • s,e = 1.60 × 10-19 C,mel = 9.11 × 10-31 kg)

Accepted Answer

A)   1.9 µV
B)   1.7 µV
C)   2.2 µV
D)   2.5 µV

Question 6

In a double slit experiment,the slit separation is constructed to be exactly 4 times the wavelength of the light passing through the slits. At what angles from the center of the pattern will the third bright fringes on both sides of the central fringe occur?

Accepted Answer

A)   ±48.6°
B)   ±75.0°
C)   ±67.5°
D)   ±36.9°
E)   ±43.0°

Question 7

Gamma rays are photons with very high energy. How many visible-light photons with a wavelength of 500 nm would you need to match the energy of a gamma-ray photon with energy 4.1 × 10-13?
(h = 6.626 × 10-34 J • s,c = 3.00 × 108 m/s)

Accepted Answer

A)   1.0 × 106
B)   1.4 × 108
C)   6.2 × 109
D)   3.9 × 103

Question 8

When a metal surface is illuminated with light of wavelength 437 nm,the stopping potential for photoelectrons is 1.67 V.(c = 3.00 × 10⁸ m/s,h = 6.626 × 10^-34 J • s,e = - 1.60 × 10^-19 C,1 eV = 1.60 × 10^-19 J,m_el = 9.11 × 10^-31 kg) (a)What is the work function of the metal,in eV? (b)What is the maximum speed of the ejected electrons?

Accepted Answer

The answer of When a metal surface is illuminated with...

Question 9

A stopping potential of 0.50 V is required when a phototube is illuminated with monochromatic light of wavelength 590 nm.Monochromatic light of a different wavelength is now shown on the tube,and the stopping potential is measured to be 2.30 V.What is the wavelength of this new light? (c = 3.00 × 108 m/s,e = - 1.60 × 10-19 C,h = 6.626 × 10-34 J • s,1 eV = 1.60 × 10-19 J)

Accepted Answer

A)   320 nm
B)   300 nm
C)   340 nm
D)   360 nm
E)   410 nm

Question 10

An 84-kW AM radio station broadcasts at 1000 kHz .How many photons are emitted each second by the transmitting antenna? (h = 6.626 × 10-34 J • s)

Accepted Answer

A)   1.3 × 1032
B)   2.9 × 1024
C)   6.3 × 1012
D)   1.4 × 1015

Question 11

White light is incident normally on a thin soap film having an index of refraction of 1.34.It reflects with an interference maximum at 684 nm and an interference minimum at 570 nm with no minima between those two values.The film has air on both sides of it.What is the thickness of the soap film?

Accepted Answer

A)   766 nm
B)   627 nm
C)   638 nm
D)   894 nm
E)   510 nm

Question 12

Monochromatic light strikes a metal surface and electrons are ejected from the metal.If the intensity of the light is increased,what will happen to the ejection rate and maximum energy of the electrons?

Accepted Answer

A)   greater ejection rate; same maximum energy
B)   same ejection rate; greater maximum energy
C)   greater ejection rate; greater maximum energy
D)   same ejection rate; same maximum energy

Question 13

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.If the experiment were performed with all of the apparatus under water (which has an index of refraction of 1.33),what would be the TOTAL number of bright spots that would show up on the screen?

Accepted Answer

A)   6
B)   7
C)   12
D)   13
E)   14

Question 14

In a two-slit experiment,the slit separation is 3.00 × 10-5 m.The interference pattern is recorded on a flat screen-like detector that is 2.00 m away from the slits.If the seventh bright fringe on the detector is 10.0 cm away from the central fringe,what is the wavelength of the light passing through the slits?

Accepted Answer

A)   100 nm
B)   204 nm
C)   214 nm
D)   224 nm
E)   234 nm

Question 15

Light from a monochromatic source shines through a double slit onto a screen 5.00 m away.The slits are 0.180 mm apart.The dark bands on the screen are measured to be 1.70 cm apart.What is the wavelength of the incident light?

Accepted Answer

A)   457 nm
B)   306 nm
C)   392 nm
D)   612 nm
E)   784 nm

Question 16

A piece of glass has a thin film of gasoline floating on it.A beam of light is shining perpendicular on the film.If the wavelength of light incident on the film is 560 nm and the indices of refraction of gasoline and glass are 1.40 and 1.50,respectively,what is the minimum nonzero thickness of the film to see a bright reflection?

Accepted Answer

A)   500 nm
B)   400 nm
C)   300 nm
D)   200 nm
E)   100 nm

Question 17

Light of wavelength 425.0 nm in air falls at normal incidence on an oil film that is 850.0 nm thick.The oil is floating on a water layer 15 cm thick.The refractive index of water is 1.33,and that of the oil is 1.40.You want to add oil so that light reflected off of the top of the oil film will be canceled.What is the minimum distance that you should INCREASE the oil film?

Accepted Answer

A)   60.7 nm
B)   75.9 nm
C)   106 nm
D)   121 nm
E)   152 nm

Question 18

A researcher is investigating a cubic crystal with x-rays.He is looking at Bragg reflection from the planes parallel to the cube faces.He finds that when using x-rays of 0.165 nm a strong first maximum occurs when the beam makes an angle of 23.5° with the planes.What is the spacing of adjacent atoms in the crystal?

Accepted Answer

The answer of A researcher is investigating a cubic crystal...

Question 19

Light of wavelength 400 nm falls on a metal surface having a work function 1.70 eV.What is the maximum kinetic energy of the photoelectrons emitted from the metal? (c = 3.00 × 108 m/s,
H = 6.626 × 10-34 J • s = 4.141 × 10-15 ev • s,1 eV = 1.60 × 10-19 J)

Accepted Answer

A)   4.52 eV
B)   3.11 eV
C)   1.41 eV
D)   2.82 eV
E)   1.70 eV

Question 20

A metal having a work function of 2.4 eV is illuminated with monochromatic light whose photon energy is 4.0 eV.What is the maximum kinetic energy of the photoelectrons produced by this light?
(h = 6.626 × 10-34 J • s,1 eV = 1.60 × 10-19 J)

Accepted Answer

A)   2.6 × 10-19 J
B)   3.8 × 10-19 J
C)   4.7 × 10-19 J
D)   5.5 × 10-19 J
E)   6.4 × 10-19 J

Exam 34: Wave and Particle Optics

Light of wavelength 687 nm is incident on a single slit 0.75 mm wide. At what distance from the slit should a screen be placed if the second dark fringe in the diffraction pattern is to be 1.7 mm from the center of the diffraction pattern?

Light of wavelength 500 nm illuminates a round 0.50-mm diameter hole.A screen is placed 6.3 m behind the slit.What is the diameter of the central bright area on the screen?

In a double slit experiment,the slit separation is constructed to be exactly 4 times the wavelength of the light passing through the slits. At what angles from the center of the pattern will the third bright fringes on both sides of the central fringe occur?

Gamma rays are photons with very high energy. How many visible-light photons with a wavelength of 500 nm would you need to match the energy of a gamma-ray photon with energy 4.1 × 10^-¹³? (h = 6.626 × 10^-34 J • s,c = 3.00 × 10⁸ m/s)

An 84-kW AM radio station broadcasts at 1000 kHz .How many photons are emitted each second by the transmitting antenna? (h = 6.626 × 10^-34 J • s)

White light is incident normally on a thin soap film having an index of refraction of 1.34.It reflects with an interference maximum at 684 nm and an interference minimum at 570 nm with no minima between those two values.The film has air on both sides of it.What is the thickness of the soap film?

Monochromatic light strikes a metal surface and electrons are ejected from the metal.If the intensity of the light is increased,what will happen to the ejection rate and maximum energy of the electrons?

Light from a monochromatic source shines through a double slit onto a screen 5.00 m away.The slits are 0.180 mm apart.The dark bands on the screen are measured to be 1.70 cm apart.What is the wavelength of the incident light?

Light of wavelength 400 nm falls on a metal surface having a work function 1.70 eV.What is the maximum kinetic energy of the photoelectrons emitted from the metal? (c = 3.00 × 10⁸ m/s, H = 6.626 × 10^-34 J • s = 4.141 × 10^-15 ev • s,1 eV = 1.60 × 10^-19 J)

A metal having a work function of 2.4 eV is illuminated with monochromatic light whose photon energy is 4.0 eV.What is the maximum kinetic energy of the photoelectrons produced by this light? (h = 6.626 × 10^-34 J • s,1 eV = 1.60 × 10^-19 J)

Exam 34: Wave and Particle Optics

Light of wavelength 687 nm is incident on a single slit 0.75 mm wide. At what distance from the slit should a screen be placed if the second dark fringe in the diffraction pattern is to be 1.7 mm from the center of the diffraction pattern?

Light of wavelength 500 nm illuminates a round 0.50-mm diameter hole.A screen is placed 6.3 m behind the slit.What is the diameter of the central bright area on the screen?

In a double slit experiment,the slit separation is constructed to be exactly 4 times the wavelength of the light passing through the slits. At what angles from the center of the pattern will the third bright fringes on both sides of the central fringe occur?

Gamma rays are photons with very high energy. How many visible-light photons with a wavelength of 500 nm would you need to match the energy of a gamma-ray photon with energy 4.1 × 10-13? (h = 6.626 × 10-34 J • s,c = 3.00 × 108 m/s)

An 84-kW AM radio station broadcasts at 1000 kHz .How many photons are emitted each second by the transmitting antenna? (h = 6.626 × 10-34 J • s)

White light is incident normally on a thin soap film having an index of refraction of 1.34.It reflects with an interference maximum at 684 nm and an interference minimum at 570 nm with no minima between those two values.The film has air on both sides of it.What is the thickness of the soap film?

Monochromatic light strikes a metal surface and electrons are ejected from the metal.If the intensity of the light is increased,what will happen to the ejection rate and maximum energy of the electrons?

Light from a monochromatic source shines through a double slit onto a screen 5.00 m away.The slits are 0.180 mm apart.The dark bands on the screen are measured to be 1.70 cm apart.What is the wavelength of the incident light?

Light of wavelength 400 nm falls on a metal surface having a work function 1.70 eV.What is the maximum kinetic energy of the photoelectrons emitted from the metal? (c = 3.00 × 108 m/s, H = 6.626 × 10-34 J • s = 4.141 × 10-15 ev • s,1 eV = 1.60 × 10-19 J)

A metal having a work function of 2.4 eV is illuminated with monochromatic light whose photon energy is 4.0 eV.What is the maximum kinetic energy of the photoelectrons produced by this light? (h = 6.626 × 10-34 J • s,1 eV = 1.60 × 10-19 J)

Gamma rays are photons with very high energy. How many visible-light photons with a wavelength of 500 nm would you need to match the energy of a gamma-ray photon with energy 4.1 × 10^-¹³? (h = 6.626 × 10^-34 J • s,c = 3.00 × 10⁸ m/s)

An 84-kW AM radio station broadcasts at 1000 kHz .How many photons are emitted each second by the transmitting antenna? (h = 6.626 × 10^-34 J • s)

Light of wavelength 400 nm falls on a metal surface having a work function 1.70 eV.What is the maximum kinetic energy of the photoelectrons emitted from the metal? (c = 3.00 × 10⁸ m/s, H = 6.626 × 10^-34 J • s = 4.141 × 10^-15 ev • s,1 eV = 1.60 × 10^-19 J)

A metal having a work function of 2.4 eV is illuminated with monochromatic light whose photon energy is 4.0 eV.What is the maximum kinetic energy of the photoelectrons produced by this light? (h = 6.626 × 10^-34 J • s,1 eV = 1.60 × 10^-19 J)