Question 1

Wave 1 has amplitude of 9.0 A0 and wave 2 has amplitude 4.0 A0. What is the ratio of their intensities, I1/I2?

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 2

What minimum thickness of oil (n = 1.50) on the surface of water (n = 1.33) would give constructive interference for 550 nm light at 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 3

In a double-slit experiment, when both interference and diffraction are taken into account, which is the lowest order maximum that is missing in the case where the slit separation is 0.020 mm and the slit widths are each 0.005 mm?

Accepted Answer

A)  1 
B)  2 
C)  3 
D)  4 
E)  no order is missing 
A)  1 
B)  2 
C)  3 
D)  4 
E)  no order is missing

Question 4

What is the angular resolution of the eye at a wavelength of 500 nm for a pupil diameter of 2.8 mm?

Accepted Answer

A)  1.8 × 10-4 rad 
B)  2.2 × 10-4 rad 
C)  8.9 × 10-5 rad 
D)  4.5 × 10-5 rad 
E)  3.3 × 10-5 rad 
A)  1.8 × 10-4 rad 
B)  2.2 × 10-4 rad 
C)  8.9 × 10-5 rad 
D)  4.5 × 10-5 rad 
E)  3.3 × 10-5 rad

Question 5

Two planes of atoms in a crystal are separated by 3.25 × 10-10 m. Light of what wavelength would show constructive interference at an angle of 17.5 degrees relative to the crystal surface?

Accepted Answer

A)  3.9 × 10-10 m 
B)  4.9 × 10-9 m 
C)  9.75 × 10-10 m 
D)  1.46 × 10-10 m 
E)  1.95 × 10-10 m 
A)  3.9 × 10-10 m 
B)  4.9 × 10-9 m 
C)  9.75 × 10-10 m 
D)  1.46 × 10-10 m 
E)  1.95 × 10-10 m

Question 6

A canvas tent has a single, tiny hole in its side. While inside the tent, you observe a dot on the wall of the tent, which is 2.0 m away (the dot is due to a distant point source of light of wavelength 550 nm). The dot has a diameter of 2.0 mm, and there is a faint ring around it. What is the size of the hole in the tent?

Accepted Answer

A)  0.55 mm 
B)  0.67 mm 
C)  1.10 mm 
D)  1.34 mm 
A)  0.55 mm 
B)  0.67 mm 
C)  1.10 mm 
D)  1.34 mm

Question 7

If the distance between the slits in a double-slit apparatus is increased, while the width of each slit is kept the same, the number of interference fringes within the central diffraction maximum will

Accepted Answer

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

Question 8

Substituting tan θ for sin θ results in what percent error for an angle of 5.00°?

Accepted Answer

A)  5.00 
B)  0.0166 
C)  0.0333 
D)  0.191 
E)  0.382 
A)  5.00 
B)  0.0166 
C)  0.0333 
D)  0.191 
E)  0.382

Question 9

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

Accepted Answer

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

Question 10

What is the limiting angle of resolution, in degrees, for a microscope with an objective 0.50 cm in diameter when viewing with light of wavelength 590 nm?

Accepted Answer

A)  2.1 × 10-3 
B)  4.1 × 10-3 
C)  7.2 × 10-5 
D)  8.2 × 10-3 
E)  1.4 × 10-4 
A)  2.1 × 10-3 
B)  4.1 × 10-3 
C)  7.2 × 10-5 
D)  8.2 × 10-3 
E)  1.4 × 10-4

Question 11

Laser light of 589 nm wavelength is shone through parallel slits forming a series of maxima on a screen 4.20 m away. If the distance between the central maximum and the first-order maximum is 1.67 cm, what is the slit separation?

Accepted Answer

A)  3.90 × 10-3 cm 
B)  3.98 × 10-3 m 
C)  9.98 × 10-5 m 
D)  1.40 × 10-3 m 
E)  1.48 × 10-4 m 
A)  3.90 × 10-3 cm 
B)  3.98 × 10-3 m 
C)  9.98 × 10-5 m 
D)  1.40 × 10-3 m 
E)  1.48 × 10-4 m

Question 12

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 wavefronts as if they were coming 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 wavefronts as if they were coming from the original source. 
E)  of their spectral response to refraction.

Question 13

A single slit of width 0.0300 mm is used to produce 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° 
B)  3.82° 
C)  0.945° 
D)  1.50° 
E)  3.00° 
A)  1.91° 
B)  3.82° 
C)  0.945° 
D)  1.50° 
E)  3.00°

Question 14

What slit separation is required for a grating to produce a first-order maximum at an angle of 40.0° for a wavelength of 589 nm?

Accepted Answer

A)  109 nm 
B)  690 nm 
C)  378 nm 
D)  458 nm 
E)  916 nm 
A)  109 nm 
B)  690 nm 
C)  378 nm 
D)  458 nm 
E)  916 nm

Question 15

A general condition for two coherent waves to undergo constructive interference is that

Accepted Answer

A)  their phase difference is zero. 
B)  their phase difference is π/2 rad. 
C)  their phase difference is ±π/2 rad. 
D)  their phase difference is an even integral multiple of π rad. 
E)  their phase difference is an odd integral multiple of π rad. 
A)  their phase difference is zero. 
B)  their phase difference is π/2 rad. 
C)  their phase difference is ±π/2 rad. 
D)  their phase difference is an even integral multiple of π rad. 
E)  their phase difference is an odd integral multiple of π rad.

Question 16

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 ≈ θ 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 17

Wave 1 has intensity 9.0 I0 while wave 2 has intensity 4.0 I0. 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

Huygens'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 19

Two planes of atoms in a crystal are separated by 3.25 × 10-10 m. How many maxima will there be in the diffraction pattern for x-rays of wavelength 2.0 × 10-10 m scattered from this crystal?

Accepted Answer

A)  4 
B)  2 
C)  3 
D)  an infinite number 
E)  1 
A)  4 
B)  2 
C)  3 
D)  an infinite number 
E)  1

Question 20

A laser beam is directed through a grating and a first-order maximum is produced at 17°. What is the highest order maximum that can be produced by this arrangement?

Accepted Answer

A)  2 
B)  3 
C)  4 
D)  5 
E)  6 
A)  2 
B)  3 
C)  4 
D)  5 
E)  6

Exam 25: Interference and Diffraction

Wave 1 has amplitude of 9.0 A0 and wave 2 has amplitude 4.0 A0. What is the ratio of their intensities, I1/I2?

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

In a double-slit experiment, when both interference and diffraction are taken into account, which is the lowest order maximum that is missing in the case where the slit separation is 0.020 mm and the slit widths are each 0.005 mm?

What is the angular resolution of the eye at a wavelength of 500 nm for a pupil diameter of 2.8 mm?

Two planes of atoms in a crystal are separated by 3.25 × 10-10 m. Light of what wavelength would show constructive interference at an angle of 17.5 degrees relative to the crystal surface?

If the distance between the slits in a double-slit apparatus is increased, while the width of each slit is kept the same, the number of interference fringes within the central diffraction maximum will

Substituting tan θ for sin θ results in what percent error for an angle of 5.00°?

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

What is the limiting angle of resolution, in degrees, for a microscope with an objective 0.50 cm in diameter when viewing with light of wavelength 590 nm?

Laser light of 589 nm wavelength is shone through parallel slits forming a series of maxima on a screen 4.20 m away. If the distance between the central maximum and the first-order maximum is 1.67 cm, what is the slit separation?

Holograms appear three-dimensional because

A single slit of width 0.0300 mm is used to produce 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?

What slit separation is required for a grating to produce a first-order maximum at an angle of 40.0° for a wavelength of 589 nm?

A general condition for two coherent waves to undergo constructive interference is that

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 ≈ θ holds, what happens to the angle between the maxima?

Wave 1 has intensity 9.0 I0 while wave 2 has intensity 4.0 I0. What is their ratio of amplitudes, A1/A2?

Huygens's principle only applies to

Two planes of atoms in a crystal are separated by 3.25 × 10-10 m. How many maxima will there be in the diffraction pattern for x-rays of wavelength 2.0 × 10-10 m scattered from this crystal?

A laser beam is directed through a grating and a first-order maximum is produced at 17°. What is the highest order maximum that can be produced by this arrangement?

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Wave 1 has amplitude of 9.0 A₀ and wave 2 has amplitude 4.0 A₀. What is the ratio of their intensities, I₁/I₂?

Two planes of atoms in a crystal are separated by 3.25 × 10^-10 m. Light of what wavelength would show constructive interference at an angle of 17.5 degrees relative to the crystal surface?

Wave 1 has intensity 9.0 I₀ while wave 2 has intensity 4.0 I₀. What is their ratio of amplitudes, A₁/A₂?

Two planes of atoms in a crystal are separated by 3.25 × 10^-10m. How many maxima will there be in the diffraction pattern for x-rays of wavelength 2.0 × 10^-10 m scattered from this crystal?