Question 1

A material has an index of refraction of 1.92 for light from a 560 nm source. What is the speed of light for this wavelength within the material? (c = 3.00 * 10⁸ m/s) A) 2.19 *10⁸ m/s B) 4.68*10⁸ m/s C) 1.56 * 10⁸ m/s D) 1.92 * 10⁸ m/s

Accepted Answer

The speed of light in a material is given by v = c/n, where c is the speed of light in vacuum and n is the index of refraction. For this material, v = 3.00 x 10^8 m/s / 1.92 = 1.56 x 10^8 m/s.

Question 2

A liquid has an index of refraction of 1.33. What is the speed of light through it? (c = 3.00 * 10⁸m/s) A) 3.99 * 10⁸m/s B) 2.26 * 10⁸ m/s C) 4.46 * 10⁸m/s D) 2.04 * 10⁸ m/s

Accepted Answer

The answer of A liquid has an index of refraction...

Question 3

A ray of light travels from a glass-to-liquid interface at an angle of 41.8°. Indices of refraction for the glass and liquid are, respectively, 1.52 and 1.63. What is the angle of refraction for the ray moving through the liquid?
A) 23.2°
B) 46.0°
C) 32.3°
D) 38.4°

Accepted Answer

The answer of A ray of light travels from a...

Question 4

Monochromatic light hits a piece of glass. Assuming the frequency remains constant, what happens to the wavelength in the glass as the index of refraction decreases? A) decreases B) approaches 3 * 10⁸ m C) increases D) remains constant

Accepted Answer

The speed of light in a medium is inversely proportional to the index of refraction. As the index of refraction decreases, the speed of light in the glass increases, leading to an increase in wavelength since frequency remains constant.

Question 5

A light ray in air enters and passes through a block of glass. What can be stated with regard to its speed after it emerges from the block?
A) Speed is less than when in glass.
B) Speed is same as that before it entered glass.
C) Speed is same as that in glass.
D) Speed is less than before it entered glass.

Accepted Answer

When a light ray emerges from a block of glass back into air, its speed returns to the original speed it had before entering the glass, as the speed of light is constant in a given medium and air is the same medium it started in.

Question 6

A beam of light in air is incident on the surface of a rectangular block of clear plastic (n = 1.40). If the speed of the beam before it enters the plastic is 3.00 * 10⁸ m/s, what is its speed inside the block? A) 2.14 *10⁸ m/s B) 2.01 * 10⁸ m/s C) 1.94 * 10⁸ m/s D) 3.00 * 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 a vacuum (3.00 x 10^8 m/s) and n is the refractive index of the medium. For plastic with n = 1.40, the speed is 3.00 x 10^8 m/s / 1.40 = 2.14 x 10^8 m/s.

Question 7

Dez pours water (n = 1.333) into a container made of crown glass (n = 1.52). The light ray in glass incident on the glass-to-liquid boundary makes an angle of 30.0° with the normal. Find the angle of the corresponding refracted ray.
A) 19.2°
B) 34.8°
C) 55.5°
D) 27.2°

Accepted Answer

Using Snell's Law, n1 * sin(θ1) = n2 * sin(θ2), where n1 = 1.52, θ1 = 30°, and n2 = 1.333. Solving for θ2 gives approximately 34.8°.

Question 8

If the wavelength of a monochromatic source is 600 nm in vacuum, what is the wavelength from the same source when it passes through a liquid where the speed of light is 2.00 * 10⁸m/s? (c = 3.00 *10⁸ m/s) A) 612.5 nm B) 671 nm C) 400 nm D) 392 nm

Accepted Answer

The wavelength in a medium is given by λ_medium = λ_vacuum * (v_medium / c). Here, λ_vacuum = 600 nm, v_medium = 2.00 x 10^8 m/s, and c = 3.00 x 10^8 m/s. So, λ_medium = 600 nm * (2.00/3.00) = 400 nm.

Question 9

A monochromatic beam of light in air has a wavelength of 632 nm. It passes through glass (n = 1.52) and then through carbon disulfide (n = 1.63). What is its wavelength in the carbon disulfide?
A) 361 nm
B) 960 nm
C) 895 nm
D) 388 nm

Accepted Answer

We can use the formula: 
n₁λ₁ = n₂λ₂
where n₁ and λ₁ are the refractive index and wavelength in air (given), and n₂ and λ₂ are the refractive index and wavelength in carbon disulfide (what we need to find).
Plugging in the given values:
(1)(632 nm) = (1.52)(λ₂ in glass)
Solving for λ₂ in glass:
λ₂ in glass = (1/1.52)(632 nm) = 416.8 nm
Next, we use the formula again, this time with n₂ = 1.63 and λ₂ in glass as λ₁:
(1.52)(416.8 nm) = (1.63)(λ₂ in carbon disulfide)
Solving for λ₂ in carbon disulfide:
λ₂ in carbon disulfide = (1.52)(416.8 nm) / (1.63) = 388 nm

Question 10

A light ray in air is incident on an air-to-glass boundary at an angle of 30.0° and is refracted in the glass at an angle of 16.7° with the normal. Find the index of refraction of the glass.
A) 1.74
B) 1.40
C) 1.23
D) 2.13

Accepted Answer

Using Snell's law, we have n1sinθ1 = n2sinθ2, where n1 is the index of refraction of air, θ1 is the angle of incidence, n2 is the index of refraction of the glass, and θ2 is the angle of refraction. Substituting in the values given, we get:
(1.00)sin(30.0°) = n2sin(16.7°)
Solving for n2, we get:
n2 = (1.00)sin(30.0°)/sin(16.7°) ≈ 1.74

Question 11

A beam of light in air is incident at an angle of 46° to the surface of a rectangular block of clear plastic (n = 1.46). The light beam first passes through the block and re-emerges from the opposite side into air at what angle to the normal to that surface?
A) 23°
B) 59°
C) 46°
D) 30°

Accepted Answer

The answer of A beam of light in air is...

Question 12

If the speed of light through an unknown liquid is measured at 1.67 * 10⁸ m/s, what is the index of refraction of this liquid? (c = 3.00*10⁸ m/s) A) 1.80 B) 1.67 C) 0.600 D) 1.20

Accepted Answer

The index of refraction is given by the ratio of the speed of light in vacuum to the speed of light in the medium. So, the index of refraction of the liquid is:n = c/v = (3.00 F1F1F1S1F1F1F10 10⁸ m/s) / (1.67 F1F1F1S1F1F1F10 10⁸ m/s) = 1.80

Question 13

Which of the following describes what will happen to a light ray incident on an air-to-glass boundary?
A) total transmission
B) partial reflection, partial transmission
C) partial reflection, total transmission
D) total reflection

Accepted Answer

When a light ray hits an air-to-glass boundary, some of the light is reflected back into the air, and some is transmitted into the glass, resulting in partial reflection and partial transmission.

Question 14

What is the angle of incidence on an air-to-glass boundary if the angle of refraction in the glass (n = 1.60) is 25°?
A) 40°
B) 25°
C) 43°
D) 16°

Accepted Answer

The angle of incidence can be found using Snell's law: n1sin(theta1) = n2sin(theta2), where n1 is the index of refraction of the medium the incident ray is traveling through, theta1 is the angle of incidence, n2 is the index of refraction of the medium the refracted ray is traveling through, and theta2 is the angle of refraction. Plugging in the known values, we get: sin(theta1) = (1.60/1)sin(25°) = 0.697. Taking the inverse sine of both sides gives us: theta1 = 43°. Therefore, the answer is choice C.

Question 15

When light of one wavelength from air hits a smooth piece of glass at an angle, which of the following will not occur?
A) refraction
B) dispersion
C) reflection
D) All of these choices will occur.

Accepted Answer

Dispersion occurs when light is separated into its component colors, which typically requires multiple wavelengths. A single wavelength will not disperse.

Question 16

A ray of light strikes a thick sheet of glass (n = 1.5) at an angle of 46° with the normal. Find the angle of the refracted ray within the glass with respect to the normal.
A) 25°
B) 56°
C) 29°
D) 16°

Accepted Answer

Using Snell's law, we have:

$n_1\sin{	heta_1}=n_2\sin{	heta_2}$

where $n_1=1$ (air) and $n_2=1.5$ (glass) are the indices of refraction and $	heta_1=46$° is the angle of incidence. Solving for $	heta_2$, we get:

$	heta_2=\sin^{-1}\left(\frac{n_1}{n_2}\sin{	heta_1}ight)=\sin^{-1}\left(\frac{1}{1.5}\sin{46°}ight)\approx29°$

Therefore, the angle of the refracted ray within the glass with respect to the normal is 29°. The answer is C.

Question 17

If light from a 560 nm monochromatic source in air is incident upon the surface of fused quartz (n = 1.56) at an angle of 70°, what is the wavelength of the ray refracted within the quartz?
A) 560 nm
B) 874 nm
C) 192 nm
D) 359 nm

Accepted Answer

The answer of If light from a 560 nm monochromatic...

Question 18

Assuming the frequency remains constant, a monochromatic light ray is transmitted through an glass-to-air boundary, what happens to the wavelength?
A) decreases
B) approaches zero value
C) increases
D) remains unchanged

Accepted Answer

When a monochromatic light ray passes from glass to air, its speed increases because air has a lower refractive index than glass. Since the frequency remains constant and the speed of light increases, the wavelength must increase according to the relationship $v = f\lambda$, where $v$ is the speed of light, $f$ is the frequency, and $\lambda$ is the wavelength.

Question 19

White light is sent through a prism, and the various colors are separated in typical fashion. Which of the following colors would have the highest index of refraction in this prism?
A) green
B) red
C) blue
D) yellow

Accepted Answer

Blue light has a shorter wavelength compared to other colors like red, green, and yellow, which results in a higher index of refraction when passing through a prism.

Question 20

A monochromatic light source emits a wavelength of 490 nm in air. When passing through a liquid, the wavelength reduces to 389 nm. What is the liquid's index of refraction?
A) 1.26
B) 1.33
C) 1.14
D) 1.49

Accepted Answer

The answer of A monochromatic light source emits a wavelength...

Quiz 24: Geometrical Optics

A material has an index of refraction of 1.92 for light from a 560 nm source. What is the speed of light for this wavelength within the material? (c = 3.00 * 10⁸ m/s)

A liquid has an index of refraction of 1.33. What is the speed of light through it? (c = 3.00 * 10⁸m/s)

A ray of light travels from a glass-to-liquid interface at an angle of 41.8°. Indices of refraction for the glass and liquid are, respectively, 1.52 and 1.63. What is the angle of refraction for the ray moving through the liquid?

Monochromatic light hits a piece of glass. Assuming the frequency remains constant, what happens to the wavelength in the glass as the index of refraction decreases?

A light ray in air enters and passes through a block of glass. What can be stated with regard to its speed after it emerges from the block?

A beam of light in air is incident on the surface of a rectangular block of clear plastic (n = 1.40) . If the speed of the beam before it enters the plastic is 3.00 * 10⁸ m/s, what is its speed inside the block?

Dez pours water (n = 1.333) into a container made of crown glass (n = 1.52) . The light ray in glass incident on the glass-to-liquid boundary makes an angle of 30.0° with the normal. Find the angle of the corresponding refracted ray.

If the wavelength of a monochromatic source is 600 nm in vacuum, what is the wavelength from the same source when it passes through a liquid where the speed of light is 2.00 * 10⁸m/s? (c = 3.00 *10⁸ m/s)

A monochromatic beam of light in air has a wavelength of 632 nm. It passes through glass (n = 1.52) and then through carbon disulfide (n = 1.63) . What is its wavelength in the carbon disulfide?

A light ray in air is incident on an air-to-glass boundary at an angle of 30.0° and is refracted in the glass at an angle of 16.7° with the normal. Find the index of refraction of the glass.

A beam of light in air is incident at an angle of 46° to the surface of a rectangular block of clear plastic (n = 1.46) . The light beam first passes through the block and re-emerges from the opposite side into air at what angle to the normal to that surface?

If the speed of light through an unknown liquid is measured at 1.67 * 10⁸ m/s, what is the index of refraction of this liquid? (c = 3.00*10⁸ m/s)

Which of the following describes what will happen to a light ray incident on an air-to-glass boundary?

What is the angle of incidence on an air-to-glass boundary if the angle of refraction in the glass (n = 1.60) is 25°?

When light of one wavelength from air hits a smooth piece of glass at an angle, which of the following will not occur?

A ray of light strikes a thick sheet of glass (n = 1.5) at an angle of 46° with the normal. Find the angle of the refracted ray within the glass with respect to the normal.

If light from a 560 nm monochromatic source in air is incident upon the surface of fused quartz (n = 1.56) at an angle of 70°, what is the wavelength of the ray refracted within the quartz?

Assuming the frequency remains constant, a monochromatic light ray is transmitted through an glass-to-air boundary, what happens to the wavelength?

White light is sent through a prism, and the various colors are separated in typical fashion. Which of the following colors would have the highest index of refraction in this prism?

A monochromatic light source emits a wavelength of 490 nm in air. When passing through a liquid, the wavelength reduces to 389 nm. What is the liquid's index of refraction?