Question 1

Light in a frozen block of ice reflects off the ice-air interface at the surface of the block. What phase shift does it undergo?

Accepted Answer

A)  $270 ^ { \circ }$ 
B)  $0 ^ { \circ }$ 
C)  $180 ^ { \circ }$ 
D)  $90 ^ { \circ }$ 
E)  It does not undergo any phase shift. 
A)  $270 ^ { \circ }$ 
B)  $0 ^ { \circ }$ 
C)  $180 ^ { \circ }$ 
D)  $90 ^ { \circ }$ 
E)  It does not undergo any phase shift.

Question 2

A double slit that is illuminated with coherent light of wavelength $644 \mathrm {~nm}$ produces a pattern of bright and dark fringes on a screen $6.00 \mathrm {~cm}$ from the slits. If the slits are $2783 \mathrm {~nm}$ apart, what is the distance on the screen between the $4 ^ { \text {th } }$ and the $2 ^ { \text {nd } }$ bright fringes on one side of the central maximum?

Accepted Answer

A)  $3.13 \mathrm {~cm}$ 
B)  $11.5 \mathrm {~cm}$ 
C)  $17.6 \mathrm {~cm}$ 
D)  $14.7 \mathrm {~cm}$ 
E)  $23.0 \mathrm {~cm}$ 
A)  $3.13 \mathrm {~cm}$ 
B)  $11.5 \mathrm {~cm}$ 
C)  $17.6 \mathrm {~cm}$ 
D)  $14.7 \mathrm {~cm}$ 
E)  $23.0 \mathrm {~cm}$

Question 3

Light of wavelength $580 \mathrm {~nm}$ is incident on a slit of width $0.30 \mathrm {~mm}$. An observing screen is placed $2.0 \mathrm {~m}$ past the slit. Find the distance on the screen of the first order dark fringe from the center of the pattern.

Accepted Answer

A)  $1.9 \mathrm {~mm}$ 
B)  $1.5 \mathrm {~mm}$ 
C)  $7.7 \mathrm {~mm}$ 
D)  $3.9 \mathrm {~mm}$ 
E)  $0.26 \mathrm {~mm}$ 
A)  $1.9 \mathrm {~mm}$ 
B)  $1.5 \mathrm {~mm}$ 
C)  $7.7 \mathrm {~mm}$ 
D)  $3.9 \mathrm {~mm}$ 
E)  $0.26 \mathrm {~mm}$

Question 4

A single-slit diffraction pattern is formed on a distant screen. Assuming the angles involved are small, by what factor will the width of the central bright spot on the screen change if the slit width
Is doubled?

Accepted Answer

A)  It will become four times as large. 
B)  It will be cut in half. 
C)  It will double. 
D)  It will be cut to one-quarter its original size. 
E)  It will become eight times as large. 
A)  It will become four times as large. 
B)  It will be cut in half. 
C)  It will double. 
D)  It will be cut to one-quarter its original size. 
E)  It will become eight times as large.

Question 5

Radio waves are diffracted by large objects such as buildings, whereas light is not noticeably diffracted. Why is this?

Accepted Answer

A)  Radio waves are unpolarized, whereas light is normally polarized. 
B)  The wavelength of light is much greater than the wavelength of radio waves. 
C)  Radio waves are polarized, whereas light is usually unpolarized. 
D)  The wavelength of light is much smaller than the wavelength of radio waves. 
E)  Radio waves are coherent and light is usually not coherent. 
A)  Radio waves are unpolarized, whereas light is normally polarized. 
B)  The wavelength of light is much greater than the wavelength of radio waves. 
C)  Radio waves are polarized, whereas light is usually unpolarized. 
D)  The wavelength of light is much smaller than the wavelength of radio waves. 
E)  Radio waves are coherent and light is usually not coherent.

Question 6

A light beam with wavelength 500 nm is reflected constructively from a thin layer of oil having index of refraction 1.25. The oil floats on the top of water of index of refraction 1.33. What is the
Minimum thickness of the layer of oil?

Accepted Answer

A)  175 nm 
B)  100 nm 
C)  150 nm 
D)  225 nm 
E)  200 nm 
A)  175 nm 
B)  100 nm 
C)  150 nm 
D)  225 nm 
E)  200 nm

Question 7

A diffraction grating has 5150 lines per centimeter ruled on it. What is the angular
separation between the first- and the third-order bright spots on the same side of the
central maximum when the grating is illuminated by a beam of light with wavelength 633
nm?

Accepted Answer

The answer of A diffraction grating has 5150 lines per...

Question 8

In a double-slit interference experiment you are asked to use laser light of different wavelengths and determine the separation between adjacent maxima. You observe that this separation is
Greatest when you illuminate the double slit with

Accepted Answer

A)  yellow light. 
B)  red light. 
C)  blue light. 
D)  green light. 
E)  The separation is the same for all wavelengths. 
A)  yellow light. 
B)  red light. 
C)  blue light. 
D)  green light. 
E)  The separation is the same for all wavelengths.

Question 9

If a diffraction grating is heated (without damaging it) and therefore expands, what happens to the angular location of the first-order maximum?

Accepted Answer

A)  It doesn't change. 
B)  It moves away from the centerline. 
C)  It moves toward the centerline. 
A)  It doesn't change. 
B)  It moves away from the centerline. 
C)  It moves toward the centerline.

Question 10

A single slit, which is $0.0500 \mathrm {~mm}$ wide, is illuminated by light of $550 \mathrm {~nm}$ wavelength. What is the angular separation between the first two minima on either side of the central maximum?

Accepted Answer

The answer of A single slit, which is \(0.0500 \mathrm...

Question 11

A ray of light traveling in water hits a glass surface. The index of refraction of the water is 1.33, and that of the glass is 1.50. At what angle with the plane of the surface must the incident ray strike the
Glass in order that the polarization of the reflected ray is the greatest?

Accepted Answer

A)  $36.9 ^ { \circ }$ 
B)  $53.1 ^ { \circ }$ 
C)  $48.4 ^ { \circ }$ 
D)  $33.7 ^ { \circ }$ 
E)  $41.6 ^ { \circ }$ 
A)  $36.9 ^ { \circ }$ 
B)  $53.1 ^ { \circ }$ 
C)  $48.4 ^ { \circ }$ 
D)  $33.7 ^ { \circ }$ 
E)  $41.6 ^ { \circ }$

Question 12

Light is incident perpendicularly from air onto a liquid film that is on a glass plate. The liquid film is $199 \mathrm {~nm}$ thick, and the liquid has index of refraction $1.60$. The glass has index of refraction 1.50. Calculate the Iongest visible wavelength (as measured in air) of the light for which there will be totally destructive interference between the rays reflected from the top and bottom surfaces of the film. Assume that the visible spectrum lies between $400 \mathrm {~nm}$ and $700 \mathrm {~nm}$.

Accepted Answer

The answer of Light is incident perpendicularly from air onto...

Question 13

When a diffraction grating having 5000 lines/cmis illuminated by monochromatic light, the angle between the central maximum and the fourth order maximum is $47.2 ^ { \circ }$. What is the wavelength of the light?

Accepted Answer

A)  $367 \mathrm {~nm}$ 
B)  $637 \mathrm {~nm}$ 
C)  $183 \mathrm {~nm}$ 
D)  $138 \mathrm {~nm}$ 
A)  $367 \mathrm {~nm}$ 
B)  $637 \mathrm {~nm}$ 
C)  $183 \mathrm {~nm}$ 
D)  $138 \mathrm {~nm}$

Question 14

A 17-mm-wide diffraction grating has rulings of 530 lines per millimeter. White light is incident normally on the grating. What is the longest wavelength that forms an intensity maximum in the fifth order?

Accepted Answer

A)  $402 \mathrm {~nm}$ 
B)  $377 \mathrm {~nm}$ 
C)  $352 \mathrm {~nm}$ 
D)  $427 \mathrm {~nm}$ 
E)  $452 \mathrm {~nm}$ 
A)  $402 \mathrm {~nm}$ 
B)  $377 \mathrm {~nm}$ 
C)  $352 \mathrm {~nm}$ 
D)  $427 \mathrm {~nm}$ 
E)  $452 \mathrm {~nm}$

Question 15

Unpolarized light passes through a combination of two ideal polarizers. The transmission axes of the first polarizer and the second polarizer are at 30.0° to each other. What percentage of the
Original light gets through the combination?

Accepted Answer

A)  $75 \%$ 
B)  $50 \%$ 
C)  $100 \%$ 
D)  $37.5 \%$ 
A)  $75 \%$ 
B)  $50 \%$ 
C)  $100 \%$ 
D)  $37.5 \%$

Question 16

Two radio antennas are $10 \mathrm {~km}$ apart on a north-south axis on high mountain tops at the seacoast. The antennas broadcast identical AM radio signals, in phase, at a frequency of $4.70 \mathrm { MHz }$. A steamship, $200 \mathrm {~km}$ offshore, travels toward the north at $15 \mathrm {~km} / \mathrm { h }$ and passes east of the antennas. A radio on board the ship is tuned to the broadcast frequency. The reception of the radio signal on the ship is a maximum at a given instant. How much later until the next occurrence of maximum reception? $\left( c = 3.00 \times 10 ^ { 8 } \mathrm {~m} / \mathrm { s } \right)$

Accepted Answer

A)  $6.4 \mathrm {~min}$ 
B)  $7.7 \mathrm {~min}$ 
C)  $3.8 \mathrm {~min}$ 
D)  $8.9 \mathrm {~min}$ 
E)  $5.1 \mathrm {~min}$ 
A)  $6.4 \mathrm {~min}$ 
B)  $7.7 \mathrm {~min}$ 
C)  $3.8 \mathrm {~min}$ 
D)  $8.9 \mathrm {~min}$ 
E)  $5.1 \mathrm {~min}$

Question 17

What principle is responsible for light spreading as it passes through a narrow slit?

Accepted Answer

A)  diffraction 
B)  polarization 
C)  dispersion 
D)  refraction 
A)  diffraction 
B)  polarization 
C)  dispersion 
D)  refraction

Question 18

A single slit, $1400 \mathrm {~nm}$ wide, forms a diffraction pattern when illuminated by monochromatic light of $490 - n m$ wavelength. What is the largest angle from the central maximum at which the intensity of the light is zero?

Accepted Answer

A)  $35 ^ { \circ }$ 
B)  $44 ^ { \circ }$ 
C)  $32 ^ { \circ }$ 
D)  $38 ^ { \circ }$ 
E)  $41 ^ { \circ }$ 
A)  $35 ^ { \circ }$ 
B)  $44 ^ { \circ }$ 
C)  $32 ^ { \circ }$ 
D)  $38 ^ { \circ }$ 
E)  $41 ^ { \circ }$

Question 19

Find Brewster's angle for light in air that is reflected from the top of a water surface. The index of refraction of the water is 1.33.

Accepted Answer

A)  $53.1 ^ { \circ }$ 
B)  $90.0 ^ { \circ }$ 
C)  $56.3 ^ { \circ }$ 
D)  $36.9 ^ { \circ }$ 
E)  $60.2 ^ { \circ }$ 
A)  $53.1 ^ { \circ }$ 
B)  $90.0 ^ { \circ }$ 
C)  $56.3 ^ { \circ }$ 
D)  $36.9 ^ { \circ }$ 
E)  $60.2 ^ { \circ }$

Question 20

When unpolarized light from air (with refractive index $1.00$ ) strikes a piece of glass with index of refraction $1.80$, the reflected light is found to be completely polarized when the angle of incidence is equal to Brewster's angle. What is the anale of refraction in this case?

Accepted Answer

The answer of When unpolarized light from air (with refractive...

Exam 23: Light: Geometric Optics

Light in a frozen block of ice reflects off the ice-air interface at the surface of the block. What phase shift does it undergo?

Light of wavelength 580 nm580 \mathrm {~nm}580 nm is incident on a slit of width 0.30 mm0.30 \mathrm {~mm}0.30 mm . An observing screen is placed 2.0 m2.0 \mathrm {~m}2.0 m past the slit. Find the distance on the screen of the first order dark fringe from the center of the pattern.

A single-slit diffraction pattern is formed on a distant screen. Assuming the angles involved are small, by what factor will the width of the central bright spot on the screen change if the slit width Is doubled?

Radio waves are diffracted by large objects such as buildings, whereas light is not noticeably diffracted. Why is this?

A light beam with wavelength 500 nm is reflected constructively from a thin layer of oil having index of refraction 1.25. The oil floats on the top of water of index of refraction 1.33. What is the Minimum thickness of the layer of oil?

A diffraction grating has 5150 lines per centimeter ruled on it. What is the angular separation between the first- and the third-order bright spots on the same side of the central maximum when the grating is illuminated by a beam of light with wavelength 633 nm?

In a double-slit interference experiment you are asked to use laser light of different wavelengths and determine the separation between adjacent maxima. You observe that this separation is Greatest when you illuminate the double slit with

If a diffraction grating is heated (without damaging it) and therefore expands, what happens to the angular location of the first-order maximum?

A single slit, which is 0.0500 mm0.0500 \mathrm {~mm}0.0500 mm wide, is illuminated by light of 550 nm550 \mathrm {~nm}550 nm wavelength. What is the angular separation between the first two minima on either side of the central maximum?

A ray of light traveling in water hits a glass surface. The index of refraction of the water is 1.33, and that of the glass is 1.50. At what angle with the plane of the surface must the incident ray strike the Glass in order that the polarization of the reflected ray is the greatest?

When a diffraction grating having 5000 lines/cmis illuminated by monochromatic light, the angle between the central maximum and the fourth order maximum is 47.2∘47.2 ^ { \circ }47.2∘ . What is the wavelength of the light?

A 17-mm-wide diffraction grating has rulings of 530 lines per millimeter. White light is incident normally on the grating. What is the longest wavelength that forms an intensity maximum in the fifth order?

Unpolarized light passes through a combination of two ideal polarizers. The transmission axes of the first polarizer and the second polarizer are at 30.0° to each other. What percentage of the Original light gets through the combination?

What principle is responsible for light spreading as it passes through a narrow slit?

A single slit, 1400 nm1400 \mathrm {~nm}1400 nm wide, forms a diffraction pattern when illuminated by monochromatic light of 490−nm490 - n m490−nm wavelength. What is the largest angle from the central maximum at which the intensity of the light is zero?

Find Brewster's angle for light in air that is reflected from the top of a water surface. The index of refraction of the water is 1.33.

When unpolarized light from air (with refractive index 1.001.001.00 ) strikes a piece of glass with index of refraction 1.801.801.80 , the reflected light is found to be completely polarized when the angle of incidence is equal to Brewster's angle. What is the anale of refraction in this case?

Introduction, Measurement, Estimating

Describing Motion: Kinematics in One Dimension

Kinematics in Two Dimensions; Vectors

Dynamics: Newtons Laws of Motion

Circular Motion; Gravitation

Work and Energy

Linear Momentum

Rotational Motion

Static Equilibrium; Elasticity and Fracture

Fluids

Oscillations and Waves

Sound

Temperature and Kinetic Theory

Heat

The Laws of Thermodynamics

Electric Charge and Electric Field

Electric Potential

Electric Currents

Dc Circuits

Magnetism

Electromagnetic Induction and Faradays Law

Electromagnetic Waves

The Wave Nature of Light

Optical Instruments

The Special Theory of Relativity

Early Quantum Theory and Models of the Atom

Quantum Mechanics of Atoms

Molecules and Solids

Nuclear Physics and Radioactivity

Nuclear Energy; Effects and Uses of Radiation

Elementary Particles

Astrophysics and Cosmology

Filters

Light of wavelength $580 \mathrm {~nm}$ is incident on a slit of width $0.30 \mathrm {~mm}$ . An observing screen is placed $2.0 \mathrm {~m}$ past the slit. Find the distance on the screen of the first order dark fringe from the center of the pattern.

A single slit, which is $0.0500 \mathrm {~mm}$ wide, is illuminated by light of $550 \mathrm {~nm}$ wavelength. What is the angular separation between the first two minima on either side of the central maximum?

When a diffraction grating having 5000 lines/cmis illuminated by monochromatic light, the angle between the central maximum and the fourth order maximum is $47.2 ^ { \circ }$ . What is the wavelength of the light?

A single slit, $1400 \mathrm {~nm}$ wide, forms a diffraction pattern when illuminated by monochromatic light of $490 - n m$ wavelength. What is the largest angle from the central maximum at which the intensity of the light is zero?

When unpolarized light from air (with refractive index $1.00$ ) strikes a piece of glass with index of refraction $1.80$ , the reflected light is found to be completely polarized when the angle of incidence is equal to Brewster's angle. What is the anale of refraction in this case?