Question 1

Two coherent sources emit waves of 2.0-m wavelength in phase.If the path length to an observer differs by ________,then _________ interference occurs.

Accepted Answer

A)  1.0 m,constructive 
B)  2.0 m,destructive 
C)  3.5 m,constructive 
D)  7.0 m,destructive 
E)  8.0 m,destructive 
A)  1.0 m,constructive 
B)  2.0 m,destructive 
C)  3.5 m,constructive 
D)  7.0 m,destructive 
E)  8.0 m,destructive

Question 2

If the eye can resolve points separated by 2.20 $\times$ 10-4 rad,when viewed at 12.0 inches,how many dpi is this? (dpi = dots per inch)

Accepted Answer

A)  250 
B)  340 
C)  380 
D)  400 
E)  590 
A)  250 
B)  340 
C)  380 
D)  400 
E)  590

Question 3

A two-slit apparatus is covered with a red (660 nm) filter.When white light is shone on the filter,on the screen beyond the two-slit apparatus,there are 9 interference minima within the 4.5 cm-wide central diffraction maximum.When a blue (440 nm) filter replaces the red,how many fringes will there be in the central diffraction maximum?

Accepted Answer

A)  3 
B)  13 
C)  9 
D)  6 
A)  3 
B)  13 
C)  9 
D)  6

Question 4

Holograms appear three dimensional because

Accepted Answer

A)  they are in color. 
B)  they are transparent. 
C)  they consist of Young double slits. 
D)  they recreate wave fronts as if they came from the original source. 
E)  of their spectral response to refraction. 
A)  they are in color. 
B)  they are transparent. 
C)  they consist of Young double slits. 
D)  they recreate wave fronts as if they came from the original source. 
E)  of their spectral response to refraction.

Question 5

How far away can two point sources of wavelength 500 nm be if they are just resolved in a telescope of aperture 1.5 cm?

Accepted Answer

A)  25 km 
B)  12 km 
C)  90 m 
D)  12 m 
E)  more information is needed 
A)  25 km 
B)  12 km 
C)  90 m 
D)  12 m 
E)  more information is needed

Question 6

Max von Laue is known for his work with

Accepted Answer

A)  double-slit interference. 
B)  single-slit diffraction. 
C)  x-ray crystallography. 
D)  holography. 
E)  magnetic resonance imaging. 
A)  double-slit interference. 
B)  single-slit diffraction. 
C)  x-ray crystallography. 
D)  holography. 
E)  magnetic resonance imaging.

Question 7

Light of wavelength 450 nm produces a first-order maximum at 27$^{\circ}$when viewed through a grating.At what angle would a first order maximum occur for a wavelength of 600 nm viewed through this grating?

Accepted Answer

A)  54$^{\circ}$ 
B)  40$^{\circ}$ 
C)  36$^{\circ}$ 
D)  37$^{\circ}$ 
E)  14$^{\circ}$ 
A)  54$^{\circ}$ 
B)  40$^{\circ}$ 
C)  36$^{\circ}$ 
D)  37$^{\circ}$ 
E)  14$^{\circ}$

Question 8

If the two slits in a two-slit apparatus kept the same width,but the distance between the two slits is increased,the number of interference fringes within the diffraction maximum will:

Accepted Answer

A)  decrease 
B)  increase 
C)  may do any of the above. 
D)  remain the same 
A)  decrease 
B)  increase 
C)  may do any of the above. 
D)  remain the same

Question 9

Huygen's Principle only applies to

Accepted Answer

A)  electromagnetic waves. 
B)  water waves. 
C)  sound waves. 
D)  all of these choices are correct 
A)  electromagnetic waves. 
B)  water waves. 
C)  sound waves. 
D)  all of these choices are correct

Question 10

What minimum thickness of oil (n = 1.50) on the surface of water (n = 1.33) would give constructive interference for 550 nm light with normal incidence?

Accepted Answer

A)  78.0 nm 
B)  80.0 nm 
C)  92.0 nm 
D)  183 nm 
E)  275 nm 
A)  78.0 nm 
B)  80.0 nm 
C)  92.0 nm 
D)  183 nm 
E)  275 nm

Question 11

Two coherent waves reach the same point in phase.One wave has an intensity of 8.00 units and the other has an intensity of 4.00 units.What is the intensity of the superposed wave?

Accepted Answer

A)  4.00 units 
B)  8.00 units 
C)  12.0 units 
D)  23.3 units 
E)  24.0 units 
A)  4.00 units 
B)  8.00 units 
C)  12.0 units 
D)  23.3 units 
E)  24.0 units

Question 12

A double-slit experiment is performed and then redone using slits of double the previous separation.Nothing else is changed.If the approximation sin $\theta$ $\approx$ $\theta$  holds,what happens to the angle between the maxima?

Accepted Answer

A)  it stays the same 
B)  it doubles 
C)  it quadruples 
D)  it halves 
E)  it quarters 
A)  it stays the same 
B)  it doubles 
C)  it quadruples 
D)  it halves 
E)  it quarters

Question 13

What is the minimum thickness of the air layer between two flat glass surfaces if the glass is to appear bright when 450 nm light is incident normally?

Accepted Answer

A)  57.0 nm 
B)  113 nm 
C)  170 nm 
D)  226 nm 
A)  57.0 nm 
B)  113 nm 
C)  170 nm 
D)  226 nm

Question 14

Using a double-slit with a d = 300 nm and light of a wavelength of 400 nm,what would you see on a distant screen?

Accepted Answer

A)  the intensity is maximum at the center and gradually decreases to either side 
B)  the intensity is minimal at the center and gradually increases to either side 
C)  the intensity is maximum in a single narrow line at the center 
D)  the intensity is minimal in a single narrow line at the center 
A)  the intensity is maximum at the center and gradually decreases to either side 
B)  the intensity is minimal at the center and gradually increases to either side 
C)  the intensity is maximum in a single narrow line at the center 
D)  the intensity is minimal in a single narrow line at the center

Question 15

A single slit of width 0.0300 mm is used to project a diffraction pattern of 500 nm light on a screen at a distance of 2.00 m from the slit.What angle does the central maximum subtend as measured from the slit?

Accepted Answer

A)  1.91$^{\circ}$ 
B)  3.82$^{\circ}$ 
C)  0.945$^{\circ}$ 
D)  1.50$^{\circ}$ 
E)  3.00$^{\circ}$ 
A)  1.91$^{\circ}$ 
B)  3.82$^{\circ}$ 
C)  0.945$^{\circ}$ 
D)  1.50$^{\circ}$ 
E)  3.00$^{\circ}$

Question 16

Two coherent waves,each with intensity I0,reach the same point in phase.The amplitude of the superposed wave is _________.

Accepted Answer

A)  0 
B)  I0 
C)  2I0 
D)  3I0 
E)  4I0 
A)  0 
B)  I0 
C)  2I0 
D)  3I0 
E)  4I0

Question 17

Wave 1 has intensity 9.0 units while wave 2 has intensity 4.0 units.What is their ratio of amplitudes,A1/A2?

Accepted Answer

A)  20 
B)  5.1 
C)  2.3 
D)  1.5 
E)  1.3 
A)  20 
B)  5.1 
C)  2.3 
D)  1.5 
E)  1.3

Question 18

X-rays of wavelength 0.080 nm are used in a Bragg scattering experiment with a crystal.If the first order maximum is found at a grazing angle of 6.0$^{\circ}$,what is the plane spacing in the crystal?

Accepted Answer

A)  0.31 nm 
B)  0.71 nm 
C)  1.4 nm 
D)  0.38 nm 
E)  0.77 nm 
A)  0.31 nm 
B)  0.71 nm 
C)  1.4 nm 
D)  0.38 nm 
E)  0.77 nm

Question 19

For an angle of one degree,to how many significant figures do sin $\theta$ and $\theta$ (in radians) agree?

Accepted Answer

A)  3 
B)  4 
C)  5 
D)  6 
E)  7 
A)  3 
B)  4 
C)  5 
D)  6 
E)  7

Question 20

What is the minimum thickness of a coating of magnesium fluoride (n = 1.38) applied to glass (n = 1.50) that gives a minimum reflection for 600 nm light?

Accepted Answer

A)  600 nm 
B)  300 nm 
C)  435 nm 
D)  109 nm 
E)  100 nm 
A)  600 nm 
B)  300 nm 
C)  435 nm 
D)  109 nm 
E)  100 nm

Exam 25: Interference and Diffraction

Two coherent sources emit waves of 2.0-m wavelength in phase.If the path length to an observer differs by ________,then _________ interference occurs.

If the eye can resolve points separated by 2.20 ×\times× 10-4 rad,when viewed at 12.0 inches,how many dpi is this? (dpi = dots per inch)

Holograms appear three dimensional because

How far away can two point sources of wavelength 500 nm be if they are just resolved in a telescope of aperture 1.5 cm?

Max von Laue is known for his work with

Light of wavelength 450 nm produces a first-order maximum at 27 ∘^{\circ}∘ when viewed through a grating.At what angle would a first order maximum occur for a wavelength of 600 nm viewed through this grating?

If the two slits in a two-slit apparatus kept the same width,but the distance between the two slits is increased,the number of interference fringes within the diffraction maximum will:

Huygen's Principle only applies to

What minimum thickness of oil (n = 1.50) on the surface of water (n = 1.33) would give constructive interference for 550 nm light with normal incidence?

Two coherent waves reach the same point in phase.One wave has an intensity of 8.00 units and the other has an intensity of 4.00 units.What is the intensity of the superposed wave?

A double-slit experiment is performed and then redone using slits of double the previous separation.Nothing else is changed.If the approximation sin θ\thetaθ ≈\approx≈ θ\thetaθ holds,what happens to the angle between the maxima?

What is the minimum thickness of the air layer between two flat glass surfaces if the glass is to appear bright when 450 nm light is incident normally?

Using a double-slit with a d = 300 nm and light of a wavelength of 400 nm,what would you see on a distant screen?

A single slit of width 0.0300 mm is used to project a diffraction pattern of 500 nm light on a screen at a distance of 2.00 m from the slit.What angle does the central maximum subtend as measured from the slit?

Two coherent waves,each with intensity I0,reach the same point in phase.The amplitude of the superposed wave is _________.

Wave 1 has intensity 9.0 units while wave 2 has intensity 4.0 units.What is their ratio of amplitudes,A1/A2?

X-rays of wavelength 0.080 nm are used in a Bragg scattering experiment with a crystal.If the first order maximum is found at a grazing angle of 6.0 ∘^{\circ}∘ ,what is the plane spacing in the crystal?

For an angle of one degree,to how many significant figures do sin θ\thetaθ and θ\thetaθ (in radians) agree?

What is the minimum thickness of a coating of magnesium fluoride (n = 1.38) applied to glass (n = 1.50) that gives a minimum reflection for 600 nm light?

Introduction

Force

Acceleration and Newtons Second Law of Motion

Motion With Constant Acceleration

Circular Motion

Conservation of Energy

Linear Momentum

Torque and Angular Momentum

Fluids

Elasticity and Oscillations

Waves

Sound

Temperature and the Ideal Gas

Heat

Thermodynamics

Electric Forces and Fields

Electric Potential

Electric Current and Circuits

Magnetic Forces and Fields

Electromagnetic Induction

Alternating Current

Electromagnetic Waves

Reflection and Refraction of Light

Optical Instruments

Relativity

Early Quantum Physics and the Photon

Quantum Physics

Nuclear Physics

Particle Physics

Filters

Two coherent sources emit waves of 2.0-m wavelength in phase.If the path length to an observer differs by ,then _ interference occurs.

If the eye can resolve points separated by 2.20 $\times$ 10^-4 rad,when viewed at 12.0 inches,how many dpi is this? (dpi = dots per inch)

Light of wavelength 450 nm produces a first-order maximum at 27 $^{\circ}$ when viewed through a grating.At what angle would a first order maximum occur for a wavelength of 600 nm viewed through this grating?

A double-slit experiment is performed and then redone using slits of double the previous separation.Nothing else is changed.If the approximation sin $\theta$ $\approx$ $\theta$ holds,what happens to the angle between the maxima?

Two coherent waves,each with intensity I₀,reach the same point in phase.The amplitude of the superposed wave is _________.

Wave 1 has intensity 9.0 units while wave 2 has intensity 4.0 units.What is their ratio of amplitudes,A₁/A₂?

X-rays of wavelength 0.080 nm are used in a Bragg scattering experiment with a crystal.If the first order maximum is found at a grazing angle of 6.0 $^{\circ}$ ,what is the plane spacing in the crystal?

For an angle of one degree,to how many significant figures do sin $\theta$ and $\theta$ (in radians) agree?