Exam 34: Wave and Particle Optics

Monochromatic light is incident on a grating that is 75 mm wide and ruled with 50,000 lines.The second-order maximum is seen at 32.5°. What is the wavelength of the incident light?

(Multiple Choice)

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Question 61

An 18-mm wide diffraction grating has rulings of 880 lines per mm.Monochromatic light of 590 nm wavelength is incident normally on the grating.What is the largest angle,measured from the central bright spot,at which an intensity maximum is formed?

(Multiple Choice)

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Question 62

A coating is being applied to reduce the reflectivity of a pane of glass to light with a frequency of 5)75 × 10¹⁴ Hz that is incident normally on the pane.If the material has an index of refraction of 1.375 and the glass has an index of refraction of 1.537,what is the minimum thickness the coating should have? (c = 3.00 × 10⁸ m/s)

(Multiple Choice)

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Question 63

A nonrelativistic electron has a kinetic energy of 5.4 eV.What is the energy of a photon whose wavelength is the same as the de Broglie wavelength of the electron? (m_el = 9.11 × 10^-31 kg, C = 3.00 × 10⁸ m/s,1 eV = 1.60 × 10^-19 J)

(Multiple Choice)

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Question 64

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

(Multiple Choice)

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Question 65

If the fifth order minimum in the diffraction pattern of a thin slit is at 40° from the central maximum,what is the highest order minimum in the pattern?

(Multiple Choice)

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Question 66

What is the angular separation of the two second-order spectral lines having wavelengths 417 nm and 388 nm using a diffraction grating having 456 lines/mm?

(Multiple Choice)

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Question 67

A laser beam passes through a thin slit.When the pattern is viewed on a screen 1.25 m past the slit,you observe that the fifth-order dark fringes occur at ±2.41 cm from the central bright fringe.The entire experiment is now performed within a liquid,and you observe that each of the fifth-order dark fringes is 0.790 cm closer to the central fringe than it was in air.What is the index of refraction of this liquid?

(Multiple Choice)

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Question 68

A beam of red light and a beam of violet light each deliver the same power on a surface.For which beam is the number of photons hitting the surface per second the greatest?

(Multiple Choice)

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Question 69

A camera used for aerial surveillance has a lens with a 30-cm maximum aperture and a 42-cm focal length.Assume light of 550-nm wavelength is used and that the resolution of the camera is limited solely by diffraction.What is the angular resolution of the camera at maximum aperture?

(Multiple Choice)

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Question 70

Light of frequency 6.00 × 10¹⁴ Hz illuminates a soap film (n = 1.33)having air on both sides of it. When viewing the film by reflected light,what is the minimum thickness of the film that will give an interference maximum when the light is incident normally on it? (c = 3.00 × 10⁸ m/s)

(Multiple Choice)

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Question 71

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

(Multiple Choice)

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Question 72

What is the limiting angle of resolution for the eye if the pupil diameter of the eye is 4.0 mm,the wavelength of the light is 600 nm,and index of refraction of the liquid in the eye is 1.34?

(Multiple Choice)

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Question 73

Coherent monochromatic light of wavelength 632.8 nm passes through a pair of thin parallel slits.The figure shows the central portion of the pattern of bright fringes viewed on a screen 1.40 m beyond the slits.What is the distance between the two slits?

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Question 74

A metal surface has a work function of 1.50 eV.Calculate the maximum kinetic energy,in eV,of electrons ejected from this surface by electromagnetic radiation of wavelength 311 nm.(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)

(Short Answer)

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Question 75

A thin layer of oil (n = 1.25)is on top of a puddle of water (n = 1.33).If normally incident 500-nm light is strongly reflected,what is the minimum nonzero thickness of the oil layer?

(Multiple Choice)

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Question 76

If the fifth order minimum in the diffraction pattern due to a thin slit is at 40° from the central maximum,at what angle does the first order minimum occur?

(Multiple Choice)

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Question 77

Monochromatic laser light of frequency 5.20 × 10¹⁴ Hz is shown on a pair of thin parallel slits,and the pattern is viewed on a screen 1.20 m away.The fifth bright fringes (not counting the central fringe)occur at ±2.12 cm on either side of the central bright fringe.The entire apparatus is now immersed in a transparent liquid.When the experiment is repeated,the fifth bright fringes now occur at ±1.43 cm from the central bright fringe.(c = 3.00 × 10⁸ m/s) (a)How far apart are the slits? (b)What is the index of refraction of the liquid?

(Short Answer)

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Question 78

Calculate the kinetic energy (in eV)of a nonrelativistic neutron that has a de Broglie wavelength of 9.9 × 10^-12 m.(h = 6.626 × 10^-34 J • s,m_neutron = 1.675 × 10^-27 kg,1 eV = 1.60 × 10^-19 J)

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Question 79

A light beam from a 2.1-mW He-Ne laser has a wavelength of 633 nm.How many photons does the laser emit in one second? (h = 6.626 × 10^-34 J • s,c = 3.00 × 10⁸ m/s)

(Multiple Choice)

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Question 80

Showing 61 - 80 of 100

Exam 34: Wave and Particle Optics

Monochromatic light is incident on a grating that is 75 mm wide and ruled with 50,000 lines.The second-order maximum is seen at 32.5°. What is the wavelength of the incident light?

An 18-mm wide diffraction grating has rulings of 880 lines per mm.Monochromatic light of 590 nm wavelength is incident normally on the grating.What is the largest angle,measured from the central bright spot,at which an intensity maximum is formed?

A nonrelativistic electron has a kinetic energy of 5.4 eV.What is the energy of a photon whose wavelength is the same as the de Broglie wavelength of the electron? (mel = 9.11 × 10-31 kg, C = 3.00 × 108 m/s,1 eV = 1.60 × 10-19 J)

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

If the fifth order minimum in the diffraction pattern of a thin slit is at 40° from the central maximum,what is the highest order minimum in the pattern?

What is the angular separation of the two second-order spectral lines having wavelengths 417 nm and 388 nm using a diffraction grating having 456 lines/mm?

A beam of red light and a beam of violet light each deliver the same power on a surface.For which beam is the number of photons hitting the surface per second the greatest?

A camera used for aerial surveillance has a lens with a 30-cm maximum aperture and a 42-cm focal length.Assume light of 550-nm wavelength is used and that the resolution of the camera is limited solely by diffraction.What is the angular resolution of the camera at maximum aperture?

Light of frequency 6.00 × 1014 Hz illuminates a soap film (n = 1.33)having air on both sides of it. When viewing the film by reflected light,what is the minimum thickness of the film that will give an interference maximum when the light is incident normally on it? (c = 3.00 × 108 m/s)

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

What is the limiting angle of resolution for the eye if the pupil diameter of the eye is 4.0 mm,the wavelength of the light is 600 nm,and index of refraction of the liquid in the eye is 1.34?

Coherent monochromatic light of wavelength 632.8 nm passes through a pair of thin parallel slits.The figure shows the central portion of the pattern of bright fringes viewed on a screen 1.40 m beyond the slits.What is the distance between the two slits?

A metal surface has a work function of 1.50 eV.Calculate the maximum kinetic energy,in eV,of electrons ejected from this surface by electromagnetic radiation of wavelength 311 nm.(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)

A thin layer of oil (n = 1.25)is on top of a puddle of water (n = 1.33).If normally incident 500-nm light is strongly reflected,what is the minimum nonzero thickness of the oil layer?

If the fifth order minimum in the diffraction pattern due to a thin slit is at 40° from the central maximum,at what angle does the first order minimum occur?

Calculate the kinetic energy (in eV)of a nonrelativistic neutron that has a de Broglie wavelength of 9.9 × 10-12 m.(h = 6.626 × 10-34 J • s,mneutron = 1.675 × 10-27 kg,1 eV = 1.60 × 10-19 J)

A light beam from a 2.1-mW He-Ne laser has a wavelength of 633 nm.How many photons does the laser emit in one second? (h = 6.626 × 10-34 J • s,c = 3.00 × 108 m/s)

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Acceleration

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Energy

Principle of Relativity

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Waves in Two and Three Dimensions

Fluids

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Degradation of Energy

Electric Interactions

The Electric Field

Gausss Law

Work and Energy in Electrostatics

Charge Separation and Storage

Magnetic Interactions

Magnetic Fields of Charged Particles in Motion

Changing Magnetic Fields

Changing Electric Fields

Electric Circuits

Electronics

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A nonrelativistic electron has a kinetic energy of 5.4 eV.What is the energy of a photon whose wavelength is the same as the de Broglie wavelength of the electron? (m_el = 9.11 × 10^-31 kg, C = 3.00 × 10⁸ m/s,1 eV = 1.60 × 10^-19 J)

Light of frequency 6.00 × 10¹⁴ Hz illuminates a soap film (n = 1.33)having air on both sides of it. When viewing the film by reflected light,what is the minimum thickness of the film that will give an interference maximum when the light is incident normally on it? (c = 3.00 × 10⁸ m/s)

A metal surface has a work function of 1.50 eV.Calculate the maximum kinetic energy,in eV,of electrons ejected from this surface by electromagnetic radiation of wavelength 311 nm.(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)

Calculate the kinetic energy (in eV)of a nonrelativistic neutron that has a de Broglie wavelength of 9.9 × 10^-12 m.(h = 6.626 × 10^-34 J • s,m_neutron = 1.675 × 10^-27 kg,1 eV = 1.60 × 10^-19 J)

A light beam from a 2.1-mW He-Ne laser has a wavelength of 633 nm.How many photons does the laser emit in one second? (h = 6.626 × 10^-34 J • s,c = 3.00 × 10⁸ m/s)