Question 1

For two identical rays of light to interfere destructively,their path lengths

Accepted Answer

A) must be equal. 
B) must differ by an odd number of half wavelengths. 
C) must differ by an even number of half wavelengths. 
D) must differ by an integral number of wavelengths. 
E) need not satisfy any of these conditions. 
A) must be equal. 
B) must differ by an odd number of half wavelengths. 
C) must differ by an even number of half wavelengths. 
D) must differ by an integral number of wavelengths. 
E) need not satisfy any of these conditions.

Question 2

The distance between the slits in a double-slit experiment is increased by a factor of 4.If the distance between the fringes is small compared with the distance from the slits to the screen,the distance between adjacent fringes near the center of the interference pattern

Accepted Answer

A) increases by a factor of 2. 
B) increases by a factor of 4. 
C) depends on the width of the slits. 
D) decreases by a factor of 2. 
E) decreases by a factor of 4. 
A) increases by a factor of 2. 
B) increases by a factor of 4. 
C) depends on the width of the slits. 
D) decreases by a factor of 2. 
E) decreases by a factor of 4.

Question 3

The 200-in reflecting telescope at Mt.Palomar has an objective mirror with a focal length of 16.8 m.The effective aperture is the diameter of the 200-in mirror (200 in = 5.08 m).For light in the blue region (450 nm),what is the smallest angle between two stars that this telescope can ideally resolve? (In practice,the limit of resolution is due to atmospheric turbulence.)

Accepted Answer

A) 1.1 $\times$ 10-8 rad 
B) 1.1 $\times$ 10-7 rad 
C) 7.3 $\times$ 10-7 rad 
D) 1.1 $\times$ 10-4 rad 
E) 8.9 $\times$ 10-5 rad 
A) 1.1 $\times$ 10-8 rad 
B) 1.1 $\times$ 10-7 rad 
C) 7.3 $\times$ 10-7 rad 
D) 1.1 $\times$ 10-4 rad 
E) 8.9 $\times$ 10-5 rad

Question 4

Red light ($\lambda$ = 700 nm)is incident normally on a diffraction grating having 1000 lines/cm.A maximum is observed at a deflection angle of 12º.The order in which this occurs is

Accepted Answer

A) 1 
B) 2 
C) 3 
D) 4 
E) 5 
A) 1 
B) 2 
C) 3 
D) 4 
E) 5

Question 5

The spacing between the adjacent lines of a diffraction grating is the same as the distance between the two slits in the Young's double slit experiment.Both are illuminated by light of the same wavelength.In which way do the interference fringes seen on the screen differ for the two methods?

Accepted Answer

A) There is no difference in the interference fringes. 
B) The fringes from the grating are farther apart. 
C) The fringes from the double slit are farther apart. 
D) Each of the fringes from the grating is narrower than the double slit. 
E) Each of the fringes from the double slit is narrower than the grating. 
A) There is no difference in the interference fringes. 
B) The fringes from the grating are farther apart. 
C) The fringes from the double slit are farther apart. 
D) Each of the fringes from the grating is narrower than the double slit. 
E) Each of the fringes from the double slit is narrower than the grating.

Question 6

When a parallel beam of light is diffracted at a single slit,

Accepted Answer

A) the shadow is always sharp. 
B) the narrower the slit,the narrower the central diffraction maximum. 
C) the narrower the slit,the wider the central diffraction maximum. 
D) the width of the central diffraction maximum is independent of the width of the slit. 
E) None of these is correct. 
A) the shadow is always sharp. 
B) the narrower the slit,the narrower the central diffraction maximum. 
C) the narrower the slit,the wider the central diffraction maximum. 
D) the width of the central diffraction maximum is independent of the width of the slit. 
E) None of these is correct.

Question 7

Two side-by-side coherent light sources radiate at 480 nm.At a point in space where the path difference to these two sources is 50 nm,the phase difference could be

Accepted Answer

A) 0.238 radians 
B) 0.375 radians 
C) 0.466 radians 
D) 0.582 radians 
E) 0.654 radians 
A) 0.238 radians 
B) 0.375 radians 
C) 0.466 radians 
D) 0.582 radians 
E) 0.654 radians

Question 8

Hydrogen emits violet light with a wavelength of 410 nm and red light with a wavelength of 656 nm.A parallel beam of hydrogen light is normally incident on a diffraction grating that has 5500 lines per cm.What is the angle between the second order red line and the third order violet line that appear close together?

Accepted Answer

A) 3.62 degrees 
B) 2.58 degrees 
C) 4.23 degrees 
D) 5.79 degrees 
E) None of these is correct. 
A) 3.62 degrees 
B) 2.58 degrees 
C) 4.23 degrees 
D) 5.79 degrees 
E) None of these is correct.

Question 9

The pupil of the human eye has a diameter of about 5 mm.When the wavelength of light incident on the pupil is 500 nm,the smallest angular separation of two resolvable sources is approximately

Accepted Answer

A) 1" 
B) 1' 
C) 1º 
D) 10º 
E) 1 radian 
A) 1" 
B) 1' 
C) 1º 
D) 10º 
E) 1 radian

Question 10

The pattern of light and dark fringes formed in Young's double-slit experiment is due to

Accepted Answer

A) interference and dispersion. 
B) diffraction and refraction. 
C) refraction and interference. 
D) refraction and dispersion. 
E) interference and diffraction. 
A) interference and dispersion. 
B) diffraction and refraction. 
C) refraction and interference. 
D) refraction and dispersion. 
E) interference and diffraction.

Question 11

Suppose you observe fifteen bright fringes in the central maximum of a double-slit interference pattern.If you know that the separation of the slits d = 0.01 mm,you can conclude that the width of each slit is

Accepted Answer

A) 0.63 mm 
B) 1.25 mm 
C) 1.68 mm 
D) 1.88 mm 
E) 1.99 mm 
A) 0.63 mm 
B) 1.25 mm 
C) 1.68 mm 
D) 1.88 mm 
E) 1.99 mm

Question 12

You set two parallel slits 0.2 mm apart at a distance of 1 m from a screen and illuminate them with light of wavelength 400 nm.The distance between the first and second dark lines of the interference pattern on the screen is

Accepted Answer

A) 2.5 mm 
B) 2.0 mm 
C) 1.5 mm 
D) 1.0 mm 
E) 0.5 mm 
A) 2.5 mm 
B) 2.0 mm 
C) 1.5 mm 
D) 1.0 mm 
E) 0.5 mm

Question 13

A phase shift of 180º occurs when a light wave

Accepted Answer

A) is transmitted through a boundary surface into a medium that is more dense than the medium from which the wave came. 
B) is transmitted through a boundary surface into a medium that is less dense than the medium from which the wave came. 
C) reflects from the boundary surface of a medium that is less dense than the medium in which the wave is traveling. 
D) reflects from the boundary surface of a medium that is more dense than the medium in which the wave is traveling. 
E) Both c and d are correct. 
A) is transmitted through a boundary surface into a medium that is more dense than the medium from which the wave came. 
B) is transmitted through a boundary surface into a medium that is less dense than the medium from which the wave came. 
C) reflects from the boundary surface of a medium that is less dense than the medium in which the wave is traveling. 
D) reflects from the boundary surface of a medium that is more dense than the medium in which the wave is traveling. 
E) Both c and d are correct.

Question 14

In a double slit experiment,a very thin plate of glass of refractive index 1.58 is placed in the light path of one of the slit beams.When this was done,the center of the fringe pattern was displaced by 35 fringe widths.Calculate the thickness of the glass plate if the wavelength of light is 680 nm.

Accepted Answer

A) 4.1 $\times$ 10-5 m 
B) 1.5 $\times$ 10-5 m 
C) 3.0 $\times$ 10-5 m 
D) 8.2 $\times$ 10-5 m 
E) 3.8 $\times$ 10-5 m 
A) 4.1 $\times$ 10-5 m 
B) 1.5 $\times$ 10-5 m 
C) 3.0 $\times$ 10-5 m 
D) 8.2 $\times$ 10-5 m 
E) 3.8 $\times$ 10-5 m

Question 15

The different colors seen on a soap bubble are produced by

Accepted Answer

A) the dispersion of light by the water in the soap. 
B) the interference of light reflected from the front and back of the soap film. 
C) the different angles light strikes the surface of the soap film. 
D) total internal reflection of light in the soap film. 
E) None of the statements is correct. 
A) the dispersion of light by the water in the soap. 
B) the interference of light reflected from the front and back of the soap film. 
C) the different angles light strikes the surface of the soap film. 
D) total internal reflection of light in the soap film. 
E) None of the statements is correct.

Question 16

Which of the following statements about Young's double-slit experiment is false?

Accepted Answer

A) The bands of light are caused by the interference of the light coming from the two slits. 
B) The results of the double-slit experiment support the particle theory of light. 
C) Double-slit interference patterns can also be produced with sound and water waves. 
D) If the slits are moved closer together,the bands of light on the screen are spread farther apart. 
E) The pattern of light on the screen consists of many bands,not just two bands. 
A) The bands of light are caused by the interference of the light coming from the two slits. 
B) The results of the double-slit experiment support the particle theory of light. 
C) Double-slit interference patterns can also be produced with sound and water waves. 
D) If the slits are moved closer together,the bands of light on the screen are spread farther apart. 
E) The pattern of light on the screen consists of many bands,not just two bands.

Question 17

Two side-by-side coherent light sources radiate at 633 nm.At a point in space where the path difference to these two sources is 30 nm,the phase difference could be

Accepted Answer

A) 0.238 radians 
B) 0.298 radians 
C) 0.324 radians 
D) 0.356 radians 
E) 0.429 radians 
A) 0.238 radians 
B) 0.298 radians 
C) 0.324 radians 
D) 0.356 radians 
E) 0.429 radians

Question 18

White light is in one case dispersed by refraction on passing through a glass prism and in a second case diffracted by means of a grating.When the red component and the blue component are considered,it is found that

Accepted Answer

A) red is both refracted and diffracted at greater angles than blue. 
B) blue is both refracted and diffracted at greater angles than red. 
C) red is refracted at a greater angle than blue,but blue is diffracted at a greater angle than red. 
D) blue is refracted at a greater angle than red,but red is diffracted at a greater angle than blue. 
E) both red and blue are refracted at the same angle and diffracted at the same angle. 
A) red is both refracted and diffracted at greater angles than blue. 
B) blue is both refracted and diffracted at greater angles than red. 
C) red is refracted at a greater angle than blue,but blue is diffracted at a greater angle than red. 
D) blue is refracted at a greater angle than red,but red is diffracted at a greater angle than blue. 
E) both red and blue are refracted at the same angle and diffracted at the same angle.

Question 19

Two optically flat plates lie one on top of the other.A sheet of paper 0.1 mm thick is inserted between the plates at one edge.When the plates are illuminated by light of wavelength 589 nm,the number of interference fringes observed by reflected light is approximately

Accepted Answer

A) 470 
B) 340 
C) 294 
D) 170 
E) 123 
A) 470 
B) 340 
C) 294 
D) 170 
E) 123

Question 20

Use the figure for the next two questions.  
-The interference pattern is from a spherical lens placed on a flat reflecting surface using a monochromatic light of wavelength $\lambda$ = 550 nm.If the distance from the center to A is 0.6 mm,the radius of curvature of the lens is

Accepted Answer

A) 41.3 cm 
B) 82.5 cm 
C) 18.7 cm 
D) 37.4 cm 
E) 26.2 cm 
A) 41.3 cm 
B) 82.5 cm 
C) 18.7 cm 
D) 37.4 cm 
E) 26.2 cm

Exam 33: Interference and Diffraction

For two identical rays of light to interfere destructively,their path lengths

The distance between the slits in a double-slit experiment is increased by a factor of 4.If the distance between the fringes is small compared with the distance from the slits to the screen,the distance between adjacent fringes near the center of the interference pattern

Red light ( λ\lambdaλ = 700 nm)is incident normally on a diffraction grating having 1000 lines/cm.A maximum is observed at a deflection angle of 12º.The order in which this occurs is

The spacing between the adjacent lines of a diffraction grating is the same as the distance between the two slits in the Young's double slit experiment.Both are illuminated by light of the same wavelength.In which way do the interference fringes seen on the screen differ for the two methods?

When a parallel beam of light is diffracted at a single slit,

Two side-by-side coherent light sources radiate at 480 nm.At a point in space where the path difference to these two sources is 50 nm,the phase difference could be

The pupil of the human eye has a diameter of about 5 mm.When the wavelength of light incident on the pupil is 500 nm,the smallest angular separation of two resolvable sources is approximately

The pattern of light and dark fringes formed in Young's double-slit experiment is due to

Suppose you observe fifteen bright fringes in the central maximum of a double-slit interference pattern.If you know that the separation of the slits d = 0.01 mm,you can conclude that the width of each slit is

You set two parallel slits 0.2 mm apart at a distance of 1 m from a screen and illuminate them with light of wavelength 400 nm.The distance between the first and second dark lines of the interference pattern on the screen is

A phase shift of 180º occurs when a light wave

In a double slit experiment,a very thin plate of glass of refractive index 1.58 is placed in the light path of one of the slit beams.When this was done,the center of the fringe pattern was displaced by 35 fringe widths.Calculate the thickness of the glass plate if the wavelength of light is 680 nm.

The different colors seen on a soap bubble are produced by

Which of the following statements about Young's double-slit experiment is false?

Two side-by-side coherent light sources radiate at 633 nm.At a point in space where the path difference to these two sources is 30 nm,the phase difference could be

White light is in one case dispersed by refraction on passing through a glass prism and in a second case diffracted by means of a grating.When the red component and the blue component are considered,it is found that

Two optically flat plates lie one on top of the other.A sheet of paper 0.1 mm thick is inserted between the plates at one edge.When the plates are illuminated by light of wavelength 589 nm,the number of interference fringes observed by reflected light is approximately

Use the figure for the next two questions. -The interference pattern is from a spherical lens placed on a flat reflecting surface using a monochromatic light of wavelength λ\lambdaλ = 550 nm.If the distance from the center to A is 0.6 mm,the radius of curvature of the lens is

Systems of Measurement

Motion in One Dimension

Motion in Two and Three Dimensions

Newtons Laws

Applications of Newtons Laws

Work and Energy

Conservation of Energy

Systems of Particles and Conservation of Linear Momentum

Rotation

Conservation of Angular Momentum

Gravity

Static Equilibrium and Elasticity

Fluids

Oscillations

Wave Motion

Superposition and Standing Waves

Temperature and the Kinetic Theory of Gases

Heat and the First Law of Thermodynamics

The Second Law of Thermodynamics

Thermal Properties and Processes

The Electric Field I: Discrete Charge Distributions

The Electric Field Ii: Continuous Charge Distributions

Electric Potential

Capacitance

Electric Current and Direct-Current Circuits

The Magnetic Field

Sources of the Magnetic Field

Magnetic Induction

Alternating-Current Circuits

Maxwells Equations and Electromagnetic Waves

Properties of Light

Optical Images

Wave Particle Duality and Quantum Physics

Applications of the Schrodinger Equation

Atoms

Molecules

Solids and the Theory of Conduction

Relativity

Nuclear Physics

Elementary Particles and the Beginning of the Universe

Filters

Red light ( $\lambda$ = 700 nm)is incident normally on a diffraction grating having 1000 lines/cm.A maximum is observed at a deflection angle of 12º.The order in which this occurs is