Question 1

The figure shows two point sources of light,A and B.B emits light waves that are +π radians out of phase with the waves from A.A is 3λ from P.B is 5λ from P.(λ is the wavelength. )The phase difference between waves arriving at P from A and B is

Accepted Answer

A) 0 rad. 
B) π rad. 
C) 2π rad. 
D) 3π rad. 
E) 4π rad.

Question 2

When a central dark fringe is observed in reflection in a circular interference pattern,waves reflected from the upper and lower surfaces of the medium must have a phase difference,in radians,of

Accepted Answer

A) 0. 
B) π/2. 
C) π. 
D) 3π/2. 
E) 2π.

Question 3

A laser beam (λ = 694 nm)is incident on two slits 0.100 mm apart.Approximately how far apart (in m)will the bright interference fringes be on the screen 5.00 m from the double slits?

Accepted Answer

A) 3.47 × 10−3 
B) 3.47 × 10−2 
C) 3.47 × 10−4 
D) 3.47 × 10−6 
E) 3.47 × 10−5

Question 4

Monochromatic light (λ = 500 nm)is incident on a soap bubble (n = 1.4)that is 500-nm thick.Calculate the change of phase of the light that penetrates the front surface,reflects from the second surface,and emerges through the first surface as an angle between 0° and 360°?

Accepted Answer

A) 280° 
B) 160° 
C) 220° 
D) 100° 
E) 290°

Question 5

A planar cross section through two spherical waves emanating from the sources S1 and S2 in the plane is shown in the figure.S1 and S2 are in phase.The black circles are one and two wavelengths from their respective sources.The lighter circles are one half and one and a half wavelengths distant from their respective sources.If the waves shown arriving at P2 both arrive with amplitude A,the resultant amplitude at point P2 is

Accepted Answer

A) 0. 
B)   . 
C) A. 
D)   . 
E) 2A.

Question 6

Two slits are illuminated with red light (λ = 650 nm).The slits are 0.25 mm apart and the distance to the screen is 1.25 m.What fraction of the maximum intensity on the screen is the intensity measured at a distance 3.0 mm from the central maximum?

Accepted Answer

A) 0.94 
B) 0.92 
C) 0.96 
D) 0.98 
E) 0.99

Question 7

A film of index of refraction n1 coats a surface with index of refraction n2.When n1 > n2,the condition for destructive interference for reflected monochromatic light of wavelength λ in air is

Accepted Answer

A)   . 
B)   . 
C)   . 
D)   . 
E)   .

Question 8

Nonreflective coatings for camera lenses reduce the loss of light at various surfaces of multi-lens systems,as well as preventing internal reflections that might mar the image.Find the minimum thickness of a layer of magnesium fluoride (n = 1.38)on flint glass (n = 1.66)that will cause destructive interference of reflected light of wavelength λ = 550 nm,a wavelength which is near the middle of the visual spectrum.

Accepted Answer

The answer of Nonreflective coatings for camera lenses reduce the...

Question 9

Two slits separated by 0.10 mm are illuminated with green light (λ = 540 nm).Calculate the distance (in cm)from the central bright-region to the fifth bright band if the screen is 1.0 m away.

Accepted Answer

A) 2.3 
B) 2.5 
C) 2.7 
D) 2.1 
E) 2.0

Question 10

Ray says that interference effects cannot be observed with visible light because random phase changes occur in time intervals less than a nanosecond.Stacy says that doesn't matter if collimated light from a single source reaches multiple openings.(They are arguing about a light source 50.0 cm away from two 0.010 0 mm-wide slits,2.00 mm apart,with a screen 1.00 m away from the slits. )Which one,if either,is correct,and why?

Accepted Answer

A) Ray,because the phases at the two slits will be random and different. 
B) Ray,because it takes light over 3 ns to travel 1.00 m to the screen. 
C) Stacy,because the difference in time of travel from the source to the slits is no more than about 7 × 10−12 s. 
D) Stacy,but only if a lens is placed in front of the slits. 
E) Both,because interference of light never occurs outside a physics lab.

Question 11

In a double slit experiment,the distance between the slits is 0.2 mm and the distance to the screen is 150 cm.What is the phase difference (in degrees)between the waves from the two slits arriving at a point P when the angular distance of P is 10° relative to the central peak,and the wavelength is 500 nm? (Convert your result so the angle is between 0 and 360°. )

Accepted Answer

A) 145° 
B) 155° 
C) 165° 
D) 135° 
E) 95°

Question 12

Light is incident on a double-slit.The fourth bright band has an angular distance of 7.0° from the central maximum.What is the distance between the slits (in μm)? (Assume the frequency of the light is 5.4 × 1014 Hz. )

Accepted Answer

A) 27 
B) 21 
C) 24 
D) 18 
E) 14

Question 13

A uniform film of oil (n = 1.31)is floating on water.When sunlight in air is incident normally on the film,an observer finds that the reflected light has a brightness maximum at λ = 450 nm and a brightness minimum at λ = 600 nm.What is the thickness of the oil film?

Accepted Answer

The answer of A uniform film of oil (n =...

Question 14

Two slits are illuminated with green light (λ = 540 nm).The slits are 0.05 mm apart and the distance to the screen is 1.5 m.At what distance (in mm)from the central maximum on the screen is the average intensity 50% of the intensity of the central maximum?

Accepted Answer

A) 1 
B) 3 
C) 2 
D) 4 
E) 0.4

Question 15

Monochromatic light (λ = 500 nm)is incident on a soap bubble (n = 1.40).How thick is the bubble (in nm)if destructive interference occurs in the reflected light?

Accepted Answer

A) 102 
B) 179 
C) 54 
D) 1 
E) 89

Question 16

Bright and dark fringes are seen on a screen when light from a single source reaches two narrow slits a short distance apart.The locations of bright and dark fringes can be interchanged if a thin film is placed in front of one of the slits.The minimum thickness of this film must be

Accepted Answer

A)   . 
B)   . 
C)   . 
D)   . 
E)   .

Question 17

Bright and dark fringes are seen on a screen when light from a single source reaches two narrow slits a short distance apart.The number of fringes per unit length on the screen can be doubled

Accepted Answer

A) if the distance between the slits is doubled. 
B) if the wavelength is changed to  . 
C) if the distance between the slits is quadruple the original distance and the wavelength is changed to  . 
D) if any of the above occurs. 
E) only if the width of the slits is changed to  .

Question 18

The superposition of two waves E1 = E0 sin(ωt)and E2 = E0 sin(ωt + φ)arriving at the same point in space at the same time is E =

Accepted Answer

A)   . 
B) 2E0 sin(ωt)cos(φ). 
C)   . 
D)   . 
E)   .

Question 19

A film of index of refraction n1 coats a surface with index of refraction n2.When n1 2,the condition for constructive interference for reflected monochromatic light of wavelength λ in air is

Accepted Answer

A)   . 
B)   . 
C)   . 
D)   . 
E)   .

Question 20

The electric fields arriving at a point P from three coherent sources are described by E1 = E0 sin ωt,E2 = E0 sin (ωt + π/4)and E3 = E0 sin (ωt + π/2).Assume the resultant field is represented by Ep = ER sin (ωt + α).The amplitude of the resultant wave at P is

Accepted Answer

A) E0. 
B) 1.5E0. 
C) 1.7E0. 
D) 2.4E0. 
E) 2.9E0.

Exam 37: Wave Optics

The figure shows two point sources of light,A and B.B emits light waves that are +π radians out of phase with the waves from A.A is 3λ from P.B is 5λ from P.(λ is the wavelength. ) The phase difference between waves arriving at P from A and B is

When a central dark fringe is observed in reflection in a circular interference pattern,waves reflected from the upper and lower surfaces of the medium must have a phase difference,in radians,of

A laser beam (λ = 694 nm) is incident on two slits 0.100 mm apart.Approximately how far apart (in m) will the bright interference fringes be on the screen 5.00 m from the double slits?

Monochromatic light (λ = 500 nm) is incident on a soap bubble (n = 1.4) that is 500-nm thick.Calculate the change of phase of the light that penetrates the front surface,reflects from the second surface,and emerges through the first surface as an angle between 0° and 360°?

Two slits are illuminated with red light (λ = 650 nm) .The slits are 0.25 mm apart and the distance to the screen is 1.25 m.What fraction of the maximum intensity on the screen is the intensity measured at a distance 3.0 mm from the central maximum?

A film of index of refraction n₁ coats a surface with index of refraction n₂.When n₁ > n₂,the condition for destructive interference for reflected monochromatic light of wavelength λ in air is

Two slits separated by 0.10 mm are illuminated with green light (λ = 540 nm) .Calculate the distance (in cm) from the central bright-region to the fifth bright band if the screen is 1.0 m away.

Light is incident on a double-slit.The fourth bright band has an angular distance of 7.0° from the central maximum.What is the distance between the slits (in μm) ? (Assume the frequency of the light is 5.4 × 10¹⁴ Hz. )

A uniform film of oil (n = 1.31)is floating on water.When sunlight in air is incident normally on the film,an observer finds that the reflected light has a brightness maximum at λ = 450 nm and a brightness minimum at λ = 600 nm.What is the thickness of the oil film?

Two slits are illuminated with green light (λ = 540 nm) .The slits are 0.05 mm apart and the distance to the screen is 1.5 m.At what distance (in mm) from the central maximum on the screen is the average intensity 50% of the intensity of the central maximum?

Monochromatic light (λ = 500 nm) is incident on a soap bubble (n = 1.40) .How thick is the bubble (in nm) if destructive interference occurs in the reflected light?

Bright and dark fringes are seen on a screen when light from a single source reaches two narrow slits a short distance apart.The locations of bright and dark fringes can be interchanged if a thin film is placed in front of one of the slits.The minimum thickness of this film must be

Bright and dark fringes are seen on a screen when light from a single source reaches two narrow slits a short distance apart.The number of fringes per unit length on the screen can be doubled

The superposition of two waves E₁ = E₀ sin(ωt) and E₂ = E₀ sin(ωt + φ) arriving at the same point in space at the same time is E =

A film of index of refraction n₁ coats a surface with index of refraction n₂.When n₁ < n₂,the condition for constructive interference for reflected monochromatic light of wavelength λ in air is

The electric fields arriving at a point P from three coherent sources are described by E₁ = E₀ sin ωt,E₂ = E₀ sin (ωt + π/4) and E₃ = E₀ sin (ωt + π/2) .Assume the resultant field is represented by E_p = E_R sin (ωt + α) .The amplitude of the resultant wave at P is

Exam 37: Wave Optics

The figure shows two point sources of light,A and B.B emits light waves that are +π radians out of phase with the waves from A.A is 3λ from P.B is 5λ from P.(λ is the wavelength. ) The phase difference between waves arriving at P from A and B is

When a central dark fringe is observed in reflection in a circular interference pattern,waves reflected from the upper and lower surfaces of the medium must have a phase difference,in radians,of

A laser beam (λ = 694 nm) is incident on two slits 0.100 mm apart.Approximately how far apart (in m) will the bright interference fringes be on the screen 5.00 m from the double slits?

Monochromatic light (λ = 500 nm) is incident on a soap bubble (n = 1.4) that is 500-nm thick.Calculate the change of phase of the light that penetrates the front surface,reflects from the second surface,and emerges through the first surface as an angle between 0° and 360°?

Two slits are illuminated with red light (λ = 650 nm) .The slits are 0.25 mm apart and the distance to the screen is 1.25 m.What fraction of the maximum intensity on the screen is the intensity measured at a distance 3.0 mm from the central maximum?

A film of index of refraction n1 coats a surface with index of refraction n2.When n1 > n2,the condition for destructive interference for reflected monochromatic light of wavelength λ in air is

Two slits separated by 0.10 mm are illuminated with green light (λ = 540 nm) .Calculate the distance (in cm) from the central bright-region to the fifth bright band if the screen is 1.0 m away.

Light is incident on a double-slit.The fourth bright band has an angular distance of 7.0° from the central maximum.What is the distance between the slits (in μm) ? (Assume the frequency of the light is 5.4 × 1014 Hz. )

A uniform film of oil (n = 1.31)is floating on water.When sunlight in air is incident normally on the film,an observer finds that the reflected light has a brightness maximum at λ = 450 nm and a brightness minimum at λ = 600 nm.What is the thickness of the oil film?

Two slits are illuminated with green light (λ = 540 nm) .The slits are 0.05 mm apart and the distance to the screen is 1.5 m.At what distance (in mm) from the central maximum on the screen is the average intensity 50% of the intensity of the central maximum?

Monochromatic light (λ = 500 nm) is incident on a soap bubble (n = 1.40) .How thick is the bubble (in nm) if destructive interference occurs in the reflected light?

Bright and dark fringes are seen on a screen when light from a single source reaches two narrow slits a short distance apart.The locations of bright and dark fringes can be interchanged if a thin film is placed in front of one of the slits.The minimum thickness of this film must be

Bright and dark fringes are seen on a screen when light from a single source reaches two narrow slits a short distance apart.The number of fringes per unit length on the screen can be doubled

The superposition of two waves E1 = E0 sin(ωt) and E2 = E0 sin(ωt + φ) arriving at the same point in space at the same time is E =

A film of index of refraction n1 coats a surface with index of refraction n2.When n1 < n2,the condition for constructive interference for reflected monochromatic light of wavelength λ in air is

The electric fields arriving at a point P from three coherent sources are described by E1 = E0 sin ωt,E2 = E0 sin (ωt + π/4) and E3 = E0 sin (ωt + π/2) .Assume the resultant field is represented by Ep = ER sin (ωt + α) .The amplitude of the resultant wave at P is

A film of index of refraction n₁ coats a surface with index of refraction n₂.When n₁ > n₂,the condition for destructive interference for reflected monochromatic light of wavelength λ in air is

Light is incident on a double-slit.The fourth bright band has an angular distance of 7.0° from the central maximum.What is the distance between the slits (in μm) ? (Assume the frequency of the light is 5.4 × 10¹⁴ Hz. )

The superposition of two waves E₁ = E₀ sin(ωt) and E₂ = E₀ sin(ωt + φ) arriving at the same point in space at the same time is E =

A film of index of refraction n₁ coats a surface with index of refraction n₂.When n₁ < n₂,the condition for constructive interference for reflected monochromatic light of wavelength λ in air is

The electric fields arriving at a point P from three coherent sources are described by E₁ = E₀ sin ωt,E₂ = E₀ sin (ωt + π/4) and E₃ = E₀ sin (ωt + π/2) .Assume the resultant field is represented by E_p = E_R sin (ωt + α) .The amplitude of the resultant wave at P is