Question 1

Red light with a wavelength of 650 nm travels from air into a liquid with an index of 1.33. What are the frequency and wavelength of the light in the liquid? (c = 3.0 × 10⁸ m/s)

Accepted Answer

The answer of Red light with a wavelength of 650...

Question 2

When a light wave enters into a medium of different refractive index,

Accepted Answer

When a light wave enters a medium of different refractive index, its speed and wavelength change, but its frequency remains constant because frequency is determined by the source of the light and does not change when light enters a different medium.

Question 3

Light of the same wavelength passes through two diffraction gratings. One grating has 4000 lines/cm, and the other one has 6000 lines/cm. Which grating will spread the light through a larger angle in the first-order pattern?

Accepted Answer

The angle of diffraction in first-order pattern can be calculated using the equation $sin	heta=\frac{m\lambda}{d}$, where m is the order of diffraction, $\lambda$ is the wavelength of light, and d is the spacing between the grating lines. Since the wavelength and angle of incidence is the same for both gratings, we can see that the grating with smaller spacing (i.e. more lines per cm) will diffract the light at a larger angle. Thus, the 6000-line grating will spread the light through a larger angle in the first-order pattern.

Question 4

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

The answer of Light in a frozen block of ice...

Question 5

Which of the following changes would increase the separation between the bright fringes in the diffraction pattern formed by a diffraction grating?

Accepted Answer

Increasing the wavelength of the light used increases the separation between the bright fringes in a diffraction pattern, according to the diffraction grating equation.

Question 6

Light of wavelength 550 nm in air is found to travel at 1.96 × 10⁸ m/s in a certain liquid. (c = 3.0 × 10⁸ m/s) (a)What is the index of refraction of this liquid? (b)What is the frequency of the light in air?

Accepted Answer

The answer of Light of wavelength 550 nm in air...

Question 7

The speed of light in a certain material is measured to be 2.2 × 10⁸ m/s. What is the index of refraction of this material? (c = 3.0 × 10⁸ m/s)

Accepted Answer

The index of refraction, n, is defined as n = c/v, where c is the speed of light in a vacuum and v is the speed of light in the material. Thus, n = c/v = (3.0 × 10^8 m/s)/(2.2 × 10^8 m/s) = 1.36. The answer closest to 1.36 is C, 1.4.

Question 8

Light having a speed in vacuum of 3.0 × 10⁸ m/s enters a liquid of refractive index 2.0. In this liquid, its speed will be

Accepted Answer

The speed of light in a medium is given by v = c/n, where c is the speed of light in vacuum and n is the refractive index of the medium. Substituting values, we get v = (3.0 × 10^8 m/s)/2 = 1.5 × 10^8 m/s. Therefore, the correct option is C.

Question 9

When a beam of light that is traveling in air is reflected by a glass surface, there is

Accepted Answer

When light traveling in air is reflected by a glass surface, there is a 180° phase change in the reflected beam. This means that the wave is flipped upside down upon reflection. This can be observed when looking at your reflection in a mirror – your image appears inverted because of this 180° phase change upon reflection.

Question 10

Light of wavelength 550 nm in air is found to travel at 1.96 × 10⁸ m/s in a certain liquid. What are the frequency and wavelength of the light in this liquid? (c = 3.0 × 10⁸ m/s)

Accepted Answer

The answer of Light of wavelength 550 nm in air...

Question 11

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

When a diffraction grating is heated, it expands and the spacing between its rulings increases. This causes the angle at which the first-order maximum occurs to decrease, i.e. move closer to the centerline. Therefore, the correct choice is A.

Question 12

The colors on an oil slick are caused by reflection and

Accepted Answer

The colors on an oil slick are caused by interference, which is the interaction of light waves that creates areas of constructive and destructive interference. This results in the colors we see on the surface of the oil.

Question 13

When a beam of light, originally traveling in air, enters a piece of glass having an index of refraction of 3/2, its frequency

Accepted Answer

The frequency of light remains constant as it passes through a medium with a different index of refraction.

Question 14

The index of refraction of a certain glass is measured to be 1.5. What is the speed of light in that glass? (c = 3.0 × 10⁸ m/s)

Accepted Answer

The speed of light in a medium is given by v = c/n, where c is the speed of light in vacuum and n is the index of refraction of the medium. So, v = (3.0 × 10^8 m/s)/(1.5) = 2.0 × 10^8 m/s. Therefore, the best choice is B.

Question 15

Light having a frequency in vacuum of 6.0 × 10¹⁴ Hz enters a liquid of refractive index 2.0. What is the frequency of the light in this liquid? (c = 3.0 × 10⁸ m/s)

Accepted Answer

The frequency of light does not change when it enters a medium with a different refractive index. The change in speed and wavelength does not affect the frequency.

Question 16

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

Accepted Answer

The angular location of the first-order diffraction maximum is given by θ = λ/d, where λ is the wavelength of light and d is the spacing between the slit and the screen. As the metal sheet containing a tiny hole expands upon heating, the spacing between the slit and the screen increases, leading to an increase in θ. Since the angular location of the first-order diffraction maximum moves away from the centerline as θ increases, the diffraction maximum moves toward the centerline. Therefore, option A is the correct choice.

Question 17

When a beam of light, originally traveling in air, enters a piece of glass having an index of refraction of 3/2, its wavelength

Accepted Answer

When light enters a medium with a higher index of refraction, its wavelength is reduced according to the formula λ = λ₀/n, where λ₀ is the original wavelength in vacuum/air and n is the index of refraction of the medium. In this case, the index of refraction is 3/2, meaning the wavelength will be reduced to 2/3 of its original value.

Question 18

Light reflects off the surface of Lake Superior. What phase shift does it undergo?

Accepted Answer

When light reflects off a surface, it undergoes a phase shift of 180°.

Question 19

When a beam of light that is traveling in glass strikes an air boundary at the surface of the glass, there is

Accepted Answer

The answer of When a beam of light that is...

Question 20

When a beam of light, originally traveling in air, enters a piece of glass having an index of refraction of 3/2, its speed

Accepted Answer

The speed of light in a medium is given by v = c/n, where c is the speed of light in vacuum and n is the refractive index of the medium. In this case, the refractive index of glass is 3/2, so the speed of light in glass is v = c/(3/2) = 2c/3. Thus, the speed of light is reduced to 2/3 of its original value when it enters the glass.

Quiz 17: Wave Optics

Red light with a wavelength of 650 nm travels from air into a liquid with an index of 1.33. What are the frequency and wavelength of the light in the liquid? (c = 3.0 × 10⁸ m/s)

When a light wave enters into a medium of different refractive index,

Light of the same wavelength passes through two diffraction gratings. One grating has 4000 lines/cm, and the other one has 6000 lines/cm. Which grating will spread the light through a larger angle in the first-order pattern?

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?

Which of the following changes would increase the separation between the bright fringes in the diffraction pattern formed by a diffraction grating?

Light of wavelength 550 nm in air is found to travel at 1.96 × 10⁸ m/s in a certain liquid. (c = 3.0 × 10⁸ m/s) (a)What is the index of refraction of this liquid? (b)What is the frequency of the light in air?

The speed of light in a certain material is measured to be 2.2 × 10⁸ m/s. What is the index of refraction of this material? (c = 3.0 × 10⁸ m/s)

Light having a speed in vacuum of 3.0 × 10⁸ m/s enters a liquid of refractive index 2.0. In this liquid, its speed will be

When a beam of light that is traveling in air is reflected by a glass surface, there is

Light of wavelength 550 nm in air is found to travel at 1.96 × 10⁸ m/s in a certain liquid. What are the frequency and wavelength of the light in this liquid? (c = 3.0 × 10⁸ m/s)

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

The colors on an oil slick are caused by reflection and

When a beam of light, originally traveling in air, enters a piece of glass having an index of refraction of 3/2, its frequency

The index of refraction of a certain glass is measured to be 1.5. What is the speed of light in that glass? (c = 3.0 × 10⁸ m/s)

Light having a frequency in vacuum of 6.0 × 10¹⁴ Hz enters a liquid of refractive index 2.0. What is the frequency of the light in this liquid? (c = 3.0 × 10⁸ m/s)

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

When a beam of light, originally traveling in air, enters a piece of glass having an index of refraction of 3/2, its wavelength

Light reflects off the surface of Lake Superior. What phase shift does it undergo?

When a beam of light that is traveling in glass strikes an air boundary at the surface of the glass, there is

When a beam of light, originally traveling in air, enters a piece of glass having an index of refraction of 3/2, its speed

Quiz 17: Wave Optics

Red light with a wavelength of 650 nm travels from air into a liquid with an index of 1.33. What are the frequency and wavelength of the light in the liquid? (c = 3.0 × 108 m/s)

When a light wave enters into a medium of different refractive index,

Light of the same wavelength passes through two diffraction gratings. One grating has 4000 lines/cm, and the other one has 6000 lines/cm. Which grating will spread the light through a larger angle in the first-order pattern?

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?

Which of the following changes would increase the separation between the bright fringes in the diffraction pattern formed by a diffraction grating?

Light of wavelength 550 nm in air is found to travel at 1.96 × 108 m/s in a certain liquid. (c = 3.0 × 108 m/s) (a)What is the index of refraction of this liquid? (b)What is the frequency of the light in air?

The speed of light in a certain material is measured to be 2.2 × 108 m/s. What is the index of refraction of this material? (c = 3.0 × 108 m/s)

Light having a speed in vacuum of 3.0 × 108 m/s enters a liquid of refractive index 2.0. In this liquid, its speed will be

When a beam of light that is traveling in air is reflected by a glass surface, there is

Light of wavelength 550 nm in air is found to travel at 1.96 × 108 m/s in a certain liquid. What are the frequency and wavelength of the light in this liquid? (c = 3.0 × 108 m/s)

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

The colors on an oil slick are caused by reflection and

When a beam of light, originally traveling in air, enters a piece of glass having an index of refraction of 3/2, its frequency

The index of refraction of a certain glass is measured to be 1.5. What is the speed of light in that glass? (c = 3.0 × 108 m/s)

Light having a frequency in vacuum of 6.0 × 1014 Hz enters a liquid of refractive index 2.0. What is the frequency of the light in this liquid? (c = 3.0 × 108 m/s)

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

When a beam of light, originally traveling in air, enters a piece of glass having an index of refraction of 3/2, its wavelength

Light reflects off the surface of Lake Superior. What phase shift does it undergo?

When a beam of light that is traveling in glass strikes an air boundary at the surface of the glass, there is

When a beam of light, originally traveling in air, enters a piece of glass having an index of refraction of 3/2, its speed

Red light with a wavelength of 650 nm travels from air into a liquid with an index of 1.33. What are the frequency and wavelength of the light in the liquid? (c = 3.0 × 10⁸ m/s)

Light of wavelength 550 nm in air is found to travel at 1.96 × 10⁸ m/s in a certain liquid. (c = 3.0 × 10⁸ m/s) (a)What is the index of refraction of this liquid? (b)What is the frequency of the light in air?

The speed of light in a certain material is measured to be 2.2 × 10⁸ m/s. What is the index of refraction of this material? (c = 3.0 × 10⁸ m/s)

Light having a speed in vacuum of 3.0 × 10⁸ m/s enters a liquid of refractive index 2.0. In this liquid, its speed will be

Light of wavelength 550 nm in air is found to travel at 1.96 × 10⁸ m/s in a certain liquid. What are the frequency and wavelength of the light in this liquid? (c = 3.0 × 10⁸ m/s)

The index of refraction of a certain glass is measured to be 1.5. What is the speed of light in that glass? (c = 3.0 × 10⁸ m/s)

Light having a frequency in vacuum of 6.0 × 10¹⁴ Hz enters a liquid of refractive index 2.0. What is the frequency of the light in this liquid? (c = 3.0 × 10⁸ m/s)