Question 1

A glass plate 2.5 cm long is separated from another glass plate by a strand of someone's hair (diameter 0.010 mm). How far apart are the adjacent interference bands when viewed with light of wavelength 600 nm?

Accepted Answer

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Question 2

A beam of light passes through a polarizer and then an analyzer. In this process, the intensity of the light transmitted is reduced to 10% of the intensity incident on the analyzer. What is the angle between the axes of the polarizer and the analyzer?

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Question 3

Light precedes through three polarizing sheets. Unpolarized light enters the 1st sheet and the resultant vertically polarized beam continues through the 2nd and 3rd. The 2nd sheet has its transmission axis at 50.° with respect to the 1st, and the 3rd is at 70.° with respect to the 1st.
(a) What percent of the original intensity emerges from filter #1?
(b) What percent of the original intensity emerges from filter #2?
(c) What percent of the original intensity emerges from filter #3?
(d) If filter 2 has its transmission axis changed to 30.°, what % intensity now emerges from the 3rd filter?

Accepted Answer

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Question 4

Consider 550. nm light passing through 2 narrow slits 2.10 micro-meters apart. The 1st and 2nd order fringes are 1.00 mm apart on a distant screen. How far apart are the 2nd and 3rd order fringes?
A) 0.750 mm
B) 0.500 mm
C) 1.74 mm
D) 1.00 mm
E) 1.35 mm

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Question 5

Light of wavelength $\lambda$= 540 nm passes through a pair of slits with separation 3.4 × 10^-5 m. What is the angle corresponding to the second bright fringe? A) 1.5° B) 4.3° C) 5.0° D) 3.7° E) 1.8°

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Question 6

Light in a frozen block of ice reflects off the ice-air interface and undergoes a phase shift of
A) 0°.
B) 180°.
C) 270°.
D) 90°.

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Question 7

Light which reflects off a pond of water undergoes a phase shift of
A) 90°.
B) 0°.
C) 180°.
D) 270°.
E) 45°.

Accepted Answer

Light reflecting off a medium that is denser than the medium it is coming from undergoes a phase shift of 180°. Water is denser than air, so light reflecting off a pond undergoes a 180° phase shift.

Question 8

Consider an oil film (n = 1.50) on water (n = 1.33) and 600. nm incident light. The minimum film thickness for constructive interference is
A) 200. nm.
B) 113. nm.
C) 150. nm.
D) 100. nm.

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Question 9

In a single-slit diffraction experiment, a beam of monochromatic light passes through a slit of width 11.0 $\mu$m. If the first order dark fringe of the resulting diffraction pattern is at an angle of 4.61°, what is the wavelength of light?
A) 402 nm
B) 602 nm
C) 201 nm
D) 301 nm
E) 884 nm

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Question 10

How many orders are in the spectra formed by a grating with 3000. lines/cm illuminated by red light of wavelength 600. nm?
A) 0
B) 5
C) 1
D) 4
E) 3

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Question 11

What is the slit spacing of a diffraction necessary for a 600 nm light to have a first order principal maximum at 25.0°?
A) 3.12$\mu$m
B) 4.12 $\mu$m
C) 5.44 $\mu$m
D) 1.42 $\mu$m
E) 2.01 $\mu$m

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The answer of What is the slit spacing of a...

Question 12

At what angle, with the surface, must light strike glass (refractive index 1.6) in order to completely polarize the reflected ray?
A) 56.°
B) 32°
C) 11.°
D) 86.°
E) 34.°

Accepted Answer

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Question 13

A ray of light traveling in water (n = 1.33) hits a glass surface (n = 1.50). At what angle, with the surface, must the incident ray be in order that the polarization of the reflected ray is the greatest?
A) 36.9°
B) 33.7°
C) 41.6°
D) 48.4°
E) 53.1°

Accepted Answer

The answer of A ray of light traveling in water...

Question 14

An ideal polarizer is placed in a beam of unpolarized light and the intensity of the transmitted light is 1.000. A second ideal polarizer is placed in the beam with its referred direction rotated 40° to that of the first polarizer. What is the intensity of the beam after it has passed through both polarizers?
A) 0.6431
B) 0.5868
C) 0.5000
D) 0.4131
E) 0.7661

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Question 15

A polarizer (with its preferred direction rotated 30° to the vertical) is placed in a beam of unpolarized light of intensity 1. After passing through the polarizer, the beam's intensity is
A) 0.7501.
B) 0.5001.
C) 0.2501.
D) 0.8661.
E) 0.5000.

Accepted Answer

The intensity of light after passing through a polarizer is given by Malus's law, which states that the intensity of polarized light after passing through a polarizer is I = I0 * cos^2(θ), where I0 is the initial intensity and θ is the angle between the light's initial polarization direction and the axis of the polarizer. For unpolarized light, I0 is reduced by half upon passing through the polarizer, regardless of the angle, because unpolarized light has equal intensity in all polarization directions. Therefore, the intensity after passing through the polarizer is 0.5 * I0 = 0.5 * 1 = 0.5000.

Question 16

What is the Brewster's angle for light traveling in vacuum and reflecting off a piece of glass of index of refraction 1.52?
A) 48.9°
B) 56.7°
C) 41.1°
D) 33.3°
E) 48.1°

Accepted Answer

The answer of What is the Brewster's angle for light...

Question 17

Rayleigh scattering would have 400. nm light be scattered how many times as much as 800. nm light?
A) 8
B) 16
C) 2
D) 4
E) 32

Accepted Answer

Rayleigh scattering intensity is inversely proportional to the fourth power of the wavelength. (800/400)^4 = 16.

Quiz 24: Physical Optics: The Wave Nature of Light

A glass plate 2.5 cm long is separated from another glass plate by a strand of someone's hair (diameter 0.010 mm). How far apart are the adjacent interference bands when viewed with light of wavelength 600 nm?

A beam of light passes through a polarizer and then an analyzer. In this process, the intensity of the light transmitted is reduced to 10% of the intensity incident on the analyzer. What is the angle between the axes of the polarizer and the analyzer?

Consider 550. nm light passing through 2 narrow slits 2.10 micro-meters apart. The 1st and 2nd order fringes are 1.00 mm apart on a distant screen. How far apart are the 2nd and 3rd order fringes?

Light of wavelength $\lambda$ = 540 nm passes through a pair of slits with separation 3.4 × 10^-5 m. What is the angle corresponding to the second bright fringe?

Light in a frozen block of ice reflects off the ice-air interface and undergoes a phase shift of

Light which reflects off a pond of water undergoes a phase shift of

Consider an oil film (n = 1.50) on water (n = 1.33) and 600. nm incident light. The minimum film thickness for constructive interference is

In a single-slit diffraction experiment, a beam of monochromatic light passes through a slit of width 11.0 $\mu$ m. If the first order dark fringe of the resulting diffraction pattern is at an angle of 4.61°, what is the wavelength of light?

How many orders are in the spectra formed by a grating with 3000. lines/cm illuminated by red light of wavelength 600. nm?

What is the slit spacing of a diffraction necessary for a 600 nm light to have a first order principal maximum at 25.0°?

At what angle, with the surface, must light strike glass (refractive index 1.6) in order to completely polarize the reflected ray?

A ray of light traveling in water (n = 1.33) hits a glass surface (n = 1.50) . At what angle, with the surface, must the incident ray be in order that the polarization of the reflected ray is the greatest?

A polarizer (with its preferred direction rotated 30° to the vertical) is placed in a beam of unpolarized light of intensity 1. After passing through the polarizer, the beam's intensity is

What is the Brewster's angle for light traveling in vacuum and reflecting off a piece of glass of index of refraction 1.52?

Rayleigh scattering would have 400. nm light be scattered how many times as much as 800. nm light?

Quiz 24: Physical Optics: The Wave Nature of Light

A glass plate 2.5 cm long is separated from another glass plate by a strand of someone's hair (diameter 0.010 mm). How far apart are the adjacent interference bands when viewed with light of wavelength 600 nm?

A beam of light passes through a polarizer and then an analyzer. In this process, the intensity of the light transmitted is reduced to 10% of the intensity incident on the analyzer. What is the angle between the axes of the polarizer and the analyzer?

Consider 550. nm light passing through 2 narrow slits 2.10 micro-meters apart. The 1st and 2nd order fringes are 1.00 mm apart on a distant screen. How far apart are the 2nd and 3rd order fringes?

Light of wavelength λ\lambdaλ = 540 nm passes through a pair of slits with separation 3.4 × 10-5 m. What is the angle corresponding to the second bright fringe?

Light in a frozen block of ice reflects off the ice-air interface and undergoes a phase shift of

Light which reflects off a pond of water undergoes a phase shift of

Consider an oil film (n = 1.50) on water (n = 1.33) and 600. nm incident light. The minimum film thickness for constructive interference is

In a single-slit diffraction experiment, a beam of monochromatic light passes through a slit of width 11.0 μ\muμ m. If the first order dark fringe of the resulting diffraction pattern is at an angle of 4.61°, what is the wavelength of light?

How many orders are in the spectra formed by a grating with 3000. lines/cm illuminated by red light of wavelength 600. nm?

What is the slit spacing of a diffraction necessary for a 600 nm light to have a first order principal maximum at 25.0°?

At what angle, with the surface, must light strike glass (refractive index 1.6) in order to completely polarize the reflected ray?

A ray of light traveling in water (n = 1.33) hits a glass surface (n = 1.50) . At what angle, with the surface, must the incident ray be in order that the polarization of the reflected ray is the greatest?

A polarizer (with its preferred direction rotated 30° to the vertical) is placed in a beam of unpolarized light of intensity 1. After passing through the polarizer, the beam's intensity is

What is the Brewster's angle for light traveling in vacuum and reflecting off a piece of glass of index of refraction 1.52?

Rayleigh scattering would have 400. nm light be scattered how many times as much as 800. nm light?

Light of wavelength $\lambda$ = 540 nm passes through a pair of slits with separation 3.4 × 10^-5 m. What is the angle corresponding to the second bright fringe?

In a single-slit diffraction experiment, a beam of monochromatic light passes through a slit of width 11.0 $\mu$ m. If the first order dark fringe of the resulting diffraction pattern is at an angle of 4.61°, what is the wavelength of light?