Question 1

What is the highest-order maximum for wavelength 454 nm that can be obtained with a grating with 375 lines per mm?

Accepted Answer

A) 5 
B) 11 
C) 6 
D) 34 
E) 4 
A) 5 
B) 11 
C) 6 
D) 34 
E) 4

Question 2

A puddle of water (n = 1.33)is covered with a very thin layer of oil (n = 1.20).How thick is the oil in the region that strongly reflects light with a wavelength of 531 nm?

Accepted Answer

A) 111 nm 
B) 221 nm 
C) 443 nm 
D) 295 nm 
E) ​239 nm 
A) 111 nm 
B) 221 nm 
C) 443 nm 
D) 295 nm 
E) ​239 nm

Question 3

At what angle is the Sun above the horizon if its light is found to be completely polarized when it is reflected from the top surface of a slab of glass (n = 1.48)?

Accepted Answer

A) 34.0° 
B) 56.0° 
C) 0.594° 
D) 42.5° 
E) 47.5° 
A) 34.0° 
B) 56.0° 
C) 0.594° 
D) 42.5° 
E) 47.5°

Question 4

In the straight-ahead direction (θ = 0°)in Fraunhofer diffraction,which of the following is observed on the screen?

Accepted Answer

A) a minimum equal in width to the adjacent minima 
B) a minimum double in width to the adjacent minima 
C) a maximum equal in width to the adjacent maxima 
D) a maximum double in width to the adjacent maxima 
A) a minimum equal in width to the adjacent minima 
B) a minimum double in width to the adjacent minima 
C) a maximum equal in width to the adjacent maxima 
D) a maximum double in width to the adjacent maxima

Question 5

Light travels from outside a building to inside through a pane of glass.Which of the following is true regarding the phase change upon reflection in the case?

Accepted Answer

A) No phase change occurs at either the inside surface or the outside surface of the glass. 
B) A 180o phase change occurs at both the inside surface and the outside surface. 
C) A 180o phase change occurs at the inside surface but not at the outside surface. 
D) A 180o phase change occurs at the outside surface but not at the inside surface. 
A) No phase change occurs at either the inside surface or the outside surface of the glass. 
B) A 180o phase change occurs at both the inside surface and the outside surface. 
C) A 180o phase change occurs at the inside surface but not at the outside surface. 
D) A 180o phase change occurs at the outside surface but not at the inside surface.

Question 6

What wavelength monochromatic source in the visible region (390 to 710 nm)can be used to constructively reflect off a soap film (n = 1.46)if the film is 78.0 nm thick?

Accepted Answer

A) 467 nm 
B) 386 nm 
C) 456 nm 
D) 404 nm 
E) 499 nm 
A) 467 nm 
B) 386 nm 
C) 456 nm 
D) 404 nm 
E) 499 nm

Question 7

A Fraunhofer diffraction pattern is created by monochromatic light shining through which of the following?

Accepted Answer

A) single slit 
B) double slit 
C) triple slit 
D) more than 3 slits 
A) single slit 
B) double slit 
C) triple slit 
D) more than 3 slits

Question 8

When the Sun is located near one of the horizons,an observer looking at the sky directly overhead will view partially polarized light.This effect is due to which of the following processes?

Accepted Answer

A) reflection 
B) double refraction 
C) selective absorption 
D) scattering 
A) reflection 
B) double refraction 
C) selective absorption 
D) scattering

Question 9

What is the minimum thickness of a glycerin film (n = 1.47)on which light of wavelength 684 nm shines that results in constructive interference of the reflected light? Assume the film is surrounded front and back by air.

Accepted Answer

A) 233 nm 
B) 116 nm 
C) 251 nm 
D) 503 nm 
E) 126 nm 
A) 233 nm 
B) 116 nm 
C) 251 nm 
D) 503 nm 
E) 126 nm

Question 10

​A Young's double-slit experiment is performed,and the distance between bright fringes is d0.If the experiment is repeated,this time under water,what is the relationship between the new distance between bright fringes,dw,and the original distance,d0?

Accepted Answer

A) ​dw 0 
B) ​dw = d0 
C) ​dw > d0 
D) ​Not enough information 
A) ​dw 0 
B) ​dw = d0 
C) ​dw > d0 
D) ​Not enough information

Question 11

In a Young's experiment,the paths from the slits to a point on the screen differ in length,causing destructive interference at the point.Which of the following path difference would cause this destructive interference?

Accepted Answer

A) 5λ/2 
B) 3λ/4 
C) 4λ 
D) None of the above. 
A) 5λ/2 
B) 3λ/4 
C) 4λ 
D) None of the above.

Question 12

What wavelength monochromatic source in the visible region (390 to 710 nm)can be used to constructively reflect off a soap film (n = 1.46)if the film is 214 nm thick?

Accepted Answer

A) 417 nm 
B) 446 nm 
C) 406 nm 
D) 489 nm 
E) 479 nm 
A) 417 nm 
B) 446 nm 
C) 406 nm 
D) 489 nm 
E) 479 nm

Question 13

An unpolarized beam of light is incident on a pane of glass (n = 1.69)such that the reflected component coming off the glass is completely polarized.What is the angle of incidence in this case?

Accepted Answer

A) 53.7° 
B) 7.33° 
C) 1.04° 
D) 59.4° 
E) 36.3° 
A) 53.7° 
B) 7.33° 
C) 1.04° 
D) 59.4° 
E) 36.3°

Question 14

A Fraunhofer diffraction pattern is produced from a light source of wavelength 460 nm.The light goes through a single slit and onto a screen 0.9 m away.The first dark fringe is 4.5 mm from the central bright fringe.What is the slit width? (1 nm = 10−9 m)

Accepted Answer

A) 1.8E-4 m 
B) 9.2E-5 m 
C) 3.1E-5 m 
D) 1.4E-4 m 
E) 2.0E-2 m 
A) 1.8E-4 m 
B) 9.2E-5 m 
C) 3.1E-5 m 
D) 1.4E-4 m 
E) 2.0E-2 m

Question 15

A surface is coated with a material having index of refraction 1.41.If light in air has a wavelength of 701 nm and is normally incident on this surface,and it is found through interference effects with this light that the surface is 11 wavelengths thick,which of the following is the thickness of the surface?

Accepted Answer

A) 4.5E-8 m 
B) 5.5E-6 m 
C) 2.7E-6 m 
D) 1.4E-6 m 
E) 2.1E-5 m 
A) 4.5E-8 m 
B) 5.5E-6 m 
C) 2.7E-6 m 
D) 1.4E-6 m 
E) 2.1E-5 m

Question 16

The blue tint of a coated camera lens is largely caused by what effects?

Accepted Answer

A) diffraction 
B) refraction 
C) polarization 
D) interference 
A) diffraction 
B) refraction 
C) polarization 
D) interference

Question 17

At what angle will the fourth-order maximum occur for a wavelength of 513 nm using a diffraction grating with 10 890 lines per cm?

Accepted Answer

A) 30° 
B) 90° 
C) No fourth-order maximum will occur in this case. 
D) 1.6° 
E) 12.8° 
A) 30° 
B) 90° 
C) No fourth-order maximum will occur in this case. 
D) 1.6° 
E) 12.8°

Question 18

A possible means for making an airplane radar-invisible is to coat the plane with an antireflective polymer.If radar waves have a wavelength of 6.00 cm,and the index of refraction of the polymer is n = 1.68,how thick would the coating be if a 180° phase change occurs at both surfaces?

Accepted Answer

A) 17.9 mm 
B) 35.7 mm 
C) 8.93 mm 
D) 4.46 mm 
E) 25.2 mm 
A) 17.9 mm 
B) 35.7 mm 
C) 8.93 mm 
D) 4.46 mm 
E) 25.2 mm

Question 19

Waves from a radio station with a wavelength of 644 m arrive at a home receiver a distance 50 km away from the transmitter by two paths.One is a direct-line path and the second by reflection from a mountain directly behind the receiver.What is the minimum distance between the mountain and receiver such that destructive interference occurs at the location of the listener? Assume no phase change on reflection.

Accepted Answer

A) 161 m 
B) 322 m 
C) 483 m 
D) 644 m 
E) 1290 m 
A) 161 m 
B) 322 m 
C) 483 m 
D) 644 m 
E) 1290 m

Question 20

A beam of light of wavelength 674 nm is incident along the normal to two closely spaced parallel glass plates.For what air gap separation between the plates will the transmitted beam be of maximum intensity? (1 nm = 10−9 m)

Accepted Answer

A) 169 nm 
B) 674 nm 
C) 337 nm 
D) 843 nm 
E) 506 nm 
A) 169 nm 
B) 674 nm 
C) 337 nm 
D) 843 nm 
E) 506 nm

Exam 24: Wave Optics

What is the highest-order maximum for wavelength 454 nm that can be obtained with a grating with 375 lines per mm?

A puddle of water (n = 1.33)is covered with a very thin layer of oil (n = 1.20).How thick is the oil in the region that strongly reflects light with a wavelength of 531 nm?

At what angle is the Sun above the horizon if its light is found to be completely polarized when it is reflected from the top surface of a slab of glass (n = 1.48)?

In the straight-ahead direction (θ = 0°)in Fraunhofer diffraction,which of the following is observed on the screen?

Light travels from outside a building to inside through a pane of glass.Which of the following is true regarding the phase change upon reflection in the case?

What wavelength monochromatic source in the visible region (390 to 710 nm)can be used to constructively reflect off a soap film (n = 1.46)if the film is 78.0 nm thick?

A Fraunhofer diffraction pattern is created by monochromatic light shining through which of the following?

When the Sun is located near one of the horizons,an observer looking at the sky directly overhead will view partially polarized light.This effect is due to which of the following processes?

What is the minimum thickness of a glycerin film (n = 1.47)on which light of wavelength 684 nm shines that results in constructive interference of the reflected light? Assume the film is surrounded front and back by air.

​A Young's double-slit experiment is performed,and the distance between bright fringes is d0.If the experiment is repeated,this time under water,what is the relationship between the new distance between bright fringes,dw,and the original distance,d0?

In a Young's experiment,the paths from the slits to a point on the screen differ in length,causing destructive interference at the point.Which of the following path difference would cause this destructive interference?

What wavelength monochromatic source in the visible region (390 to 710 nm)can be used to constructively reflect off a soap film (n = 1.46)if the film is 214 nm thick?

An unpolarized beam of light is incident on a pane of glass (n = 1.69)such that the reflected component coming off the glass is completely polarized.What is the angle of incidence in this case?

A Fraunhofer diffraction pattern is produced from a light source of wavelength 460 nm.The light goes through a single slit and onto a screen 0.9 m away.The first dark fringe is 4.5 mm from the central bright fringe.What is the slit width? (1 nm = 10−9 m)

The blue tint of a coated camera lens is largely caused by what effects?

At what angle will the fourth-order maximum occur for a wavelength of 513 nm using a diffraction grating with 10 890 lines per cm?

A possible means for making an airplane radar-invisible is to coat the plane with an antireflective polymer.If radar waves have a wavelength of 6.00 cm,and the index of refraction of the polymer is n = 1.68,how thick would the coating be if a 180° phase change occurs at both surfaces?

A beam of light of wavelength 674 nm is incident along the normal to two closely spaced parallel glass plates.For what air gap separation between the plates will the transmitted beam be of maximum intensity? (1 nm = 10−9 m)

Units, Trigonometry, and Vectors

Motion in One Dimension

Motion in Two Dimensions

Newtons Laws of Motion

Energy

Momentum, Impulse, and Collisions

Rotational Motion and Gravitation

Rotational Equilibrium and Dynamics

Fluids and Solids

Thermal Physics

Energy in Thermal Processes

The Laws of Thermodynamics

Vibrations and Waves

Sound

Electric Forces and Fields

Electrical Energy and Capacitance

Current and Resistance

Direct-Current Circuits

Magnetism

Induced Voltages and Inductance

Alternating-Current Circuits and Electromagnetic Waves

Reflection and Refraction of Light

Mirrors and Lenses

Optical Instruments

Relativity

Quantum Physics

Atomic Physics

Nuclear Physics

Nuclear Energy and Elementary Particles

Filters

A Young's double-slit experiment is performed,and the distance between bright fringes is d₀.If the experiment is repeated,this time under water,what is the relationship between the new distance between bright fringes,d_w,and the original distance,d₀?

A Fraunhofer diffraction pattern is produced from a light source of wavelength 460 nm.The light goes through a single slit and onto a screen 0.9 m away.The first dark fringe is 4.5 mm from the central bright fringe.What is the slit width? (1 nm = 10−⁹ m)

A beam of light of wavelength 674 nm is incident along the normal to two closely spaced parallel glass plates.For what air gap separation between the plates will the transmitted beam be of maximum intensity? (1 nm = 10−⁹ m)