Question 1

A monochromatic beam of light in air has a wavelength of 427 nm in air.It passes through glass (n = 1.52)and then through carbon disulfide (n = 1.63).What is its wavelength in the carbon disulfide?

Accepted Answer

The wavelength of light changes when it passes from one medium to another due to the change in the speed of light. The speed of light in a medium is inversely proportional to the refractive index of the medium. Therefore, the wavelength of light in a medium is inversely proportional to the refractive index of the medium.In this case, the wavelength of light in air is 427 nm. The refractive index of glass is 1.52, and the refractive index of carbon disulfide is 1.63. Therefore, the wavelength of light in carbon disulfide is:$$\lambda_{cs} = \frac{\lambda_{air}}{n_{cs}} = \frac{427 	ext{ nm}}{1.63} = 262 	ext{ nm}$$Therefore, the correct answer is A.

Question 2

Fused quartz has an index of refraction of 1.50 for light from a 678-nm source.What is the speed of light for this wavelength within the quartz? (c = 3.00 × 10⁸ m/s)

Accepted Answer

The speed of light in a medium is given by $v = \frac{c}{n}$, where $c$ is the speed of light in vacuum (3.00 × 10^8 m/s) and $n$ is the index of refraction. For fused quartz, $n = 1.50$, so $v = \frac{3.00 × 10^8 m/s}{1.50} = 2.00 × 10^8 m/s$.

Question 3

When light reflects and produces a clear image,this reflection is referred to as:

Accepted Answer

Specular reflection occurs when a smooth surface reflects light and produces a clear and sharp image of the object being reflected. This is in contrast to diffuse reflection, where the surface is rough and scatters the light in many different directions, resulting in a less clear image. Retroreflection refers to the reflection of light back towards its source, and double reflection occurs when light reflects twice before reaching the observer, causing a distortion in the image.

Question 4

Water has an index of refraction of 1.333.What is the speed of light through it? (c = 3.00 × 10⁸ m/s)

Accepted Answer

The speed of light in a medium is given by $v = \frac{c}{n}$, where $c = 3.00 \times 10^8 \, \text{m/s}$ is the speed of light in vacuum and $n = 1.333$ is the index of refraction of water. Thus, $v = \frac{3.00 \times 10^8}{1.333} \approx 2.25 \times 10^8 \, \text{m/s}$.

Question 5

A light ray in air is incident on an air-to-glass boundary at an angle of 33.0° and is refracted in the glass at an angle of 18.5° with the normal.Find the index of refraction of the glass.

Accepted Answer

The answer of A light ray in air is incident...

Question 6

A ray of light strikes a thick sheet of glass (n = 1.5)at an angle of 20° with the normal.Find the angle of the refracted ray within the glass with respect to the normal.

Accepted Answer

Using Snell's Law, n1*sin(theta1) = n2*sin(theta2), where n1 = 1 (air), theta1 = 20°, and n2 = 1.5 (glass). Solving for theta2 gives sin(theta2) = sin(20°)/1.5, which results in theta2 ≈ 13°.

Question 7

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

Accepted Answer

Dispersion occurs when light is separated into its component colors, such as when passing through a prism. This phenomenon does not occur when light of one wavelength hits a smooth piece of glass at an angle. Reflection and refraction will both occur when light hits a smooth piece of glass at an angle.

Question 8

What is the angle of incidence on an air-to-glass boundary if the angle of refraction in the glass (n = 1.52)is 28.0°?

Accepted Answer

Using Snell's Law, n1*sin(theta1) = n2*sin(theta2). For air, n1 = 1, and for glass, n2 = 1.52. Given theta2 = 28.0°, solve for theta1: sin(theta1) = 1.52*sin(28.0°). Calculating gives theta1 ≈ 45.5°.

Question 9

If the speed of light through an unknown liquid is measured at 1.78 × 10⁸ m/s,what is the index of refraction of this liquid? (c = 3.00 × 10⁸ m/s)

Accepted Answer

The index of refraction, n, is calculated using the formula n = c / v, where c is the speed of light in a vacuum (3.00 × 10^8 m/s) and v is the speed of light in the medium (1.78 × 10^8 m/s). Plugging in the values, n = (3.00 × 10^8 m/s) / (1.78 × 10^8 m/s) = 1.69.

Question 10

A ray of light travels from a glass-to-liquid interface at an angle of 23°.Indices of refraction for the glass and liquid are,respectively,1.58 and 1.80.What is the angle of refraction for the ray moving through the liquid?

Accepted Answer

Using Snell's Law, n1 * sin(theta1) = n2 * sin(theta2), where n1 = 1.58, theta1 = 23°, n2 = 1.80. Solving for theta2 gives approximately 20.1°.

Question 11

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?

Accepted Answer

When a light ray emerges from a block of glass and enters air, its speed returns to the original speed it had before entering the glass. This is because the speed of light in a medium depends on the medium's refractive index, and air has a lower refractive index than glass.

Question 12

A monochromatic light source emits a wavelength of 403 nm in air.When passing through a liquid,the wavelength reduces to 363 nm.What is the liquid's index of refraction?

Accepted Answer

We can use the equation n2/n1 = λ1/λ2, where n1 is the index of refraction in air (which is approximately 1), n2 is the index of refraction in the liquid, λ1 is the original wavelength, and λ2 is the new wavelength. Plugging in the values given, we get n2/1 = 403/363, which simplifies to n2 = 1.11. Therefore, the liquid's index of refraction is 1.11. Choice C is the correct answer.

Question 13

A beam of light in air is incident on the surface of a rectangular block of clear plastic (n = 1.49).If the velocity of the beam before it enters the plastic is 3.00 × 10⁸ m/s,what is its velocity inside the block?

Accepted Answer

The velocity of light in a medium is given by $v = \frac{c}{n}$, where $c$ is the speed of light in vacuum (3.00 × 10^8 m/s) and $n$ is the refractive index of the medium. For the plastic block with $n = 1.49$, the velocity of light inside the block is $v = \frac{3.00 × 10^8 m/s}{1.49} = 2.01 × 10^8 m/s$.

Question 14

When viewing your image in a hand-held mirror,if you move the mirror away at a speed v,the image appears to:

Accepted Answer

When you move a mirror away from you at a speed $v$, the image appears to move away at twice that speed, $2v$, because the distance the light travels from you to the mirror and back to your eyes increases by twice the mirror's movement.

Question 15

Monochromatic light hits a piece of glass.What happens to the wavelength in the glass as the index of refraction increases?

Accepted Answer

As the index of refraction increases, the speed of light in the medium decreases. This means that the wavelength of the light will also decrease according to the formula λ=nλ0, where λ0 is the wavelength of the light in vacuum and n is the refractive index of the medium. Therefore, the correct answer is that the wavelength decreases (choice A).

Question 16

A beam of light in air is incident at an angle of 24.0° 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?

Accepted Answer

The angle of incidence in air equals the angle of emergence when light re-enters air from the plastic due to the principle of reversibility of light.

Question 17

If the wavelength of a monochromatic source is 316 nm in vacuum,what is the wavelength from the same source when it passes through a liquid where the speed of light is 1.86 × 10⁸ m/s? (c = 3.00 × 10⁸ m/s)

Accepted Answer

The answer of If the wavelength of a monochromatic source...

Question 18

Dez pours carbon tetrachloride (n = 1.46)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 24.0° with the normal.Find the angle of the corresponding refracted ray.

Accepted Answer

Using Snell's law:
n1*sin(theta1) = n2*sin(theta2)
where n1 and theta1 are the refractive index and angle of incidence in the first medium (crown glass) and n2 and theta2 are the refractive index and angle of refraction in the second medium (carbon tetrachloride).
Rearranging the equation:
sin(theta2) = (n1/n2)*sin(theta1)
sin(theta2) = (1.52/1.46)*sin(24.0°)
sin(theta2) = 1.0411
Since the sine of an angle cannot be greater than 1, we know that the incident angle is greater than the critical angle (theta_c = arcsin(n2/n1)).
Using the inverse sine function:
theta_c = arcsin(n2/n1) = arcsin(1.46/1.52) = 83.3°
Therefore, the light undergoes total internal reflection and there is no refracted ray. The answer is not A, B, D or E. The correct answer is C because none of the other answers are correct.

Question 19

As a monochromatic light ray is transmitted through an air-to-glass boundary,what happens to the wavelength?

Accepted Answer

When a monochromatic light ray is transmitted through an air-to-glass boundary, its speed and direction change, which causes its wavelength to decrease. This phenomenon is known as refraction, and the change in wavelength is a result of the different speeds of light in different media.

Question 20

If light from a 336-nm monochromatic source in air is incident upon the surface of fused quartz (n = 1.56)at an angle of 60°,what is the wavelength of the ray refracted within the quartz?

Accepted Answer

The wavelength of the light within the quartz can be found using Snell's law and the relationship between the speed of light, wavelength, and refractive index. The refractive index of air is approximately 1. The formula relating the wavelength in vacuum (or air) ($\lambda_0$) to the wavelength in the medium ($\lambda$) is given by $\lambda = \lambda_0 / n$, where $n$ is the refractive index of the medium. Substituting the given values, $\lambda = 336\,nm / 1.56 = 215.38\,nm$, which rounds to 215 nm.

Quiz 22: Reflection and Refraction of Light

A monochromatic beam of light in air has a wavelength of 427 nm in air.It passes through glass (n = 1.52) and then through carbon disulfide (n = 1.63) .What is its wavelength in the carbon disulfide?

Fused quartz has an index of refraction of 1.50 for light from a 678-nm source.What is the speed of light for this wavelength within the quartz? (c = 3.00 × 10⁸ m/s)

When light reflects and produces a clear image,this reflection is referred to as:

Water has an index of refraction of 1.333.What is the speed of light through it? (c = 3.00 × 10⁸ m/s)

A light ray in air is incident on an air-to-glass boundary at an angle of 33.0° and is refracted in the glass at an angle of 18.5° with the normal.Find the index of refraction of the glass.

A ray of light strikes a thick sheet of glass (n = 1.5) at an angle of 20° with the normal.Find the angle of the refracted ray within the glass with respect to the normal.

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

What is the angle of incidence on an air-to-glass boundary if the angle of refraction in the glass (n = 1.52) is 28.0°?

If the speed of light through an unknown liquid is measured at 1.78 × 10⁸ m/s,what is the index of refraction of this liquid? (c = 3.00 × 10⁸ m/s)

A ray of light travels from a glass-to-liquid interface at an angle of 23°.Indices of refraction for the glass and liquid are,respectively,1.58 and 1.80.What is the angle of refraction for the ray moving through the liquid?

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 monochromatic light source emits a wavelength of 403 nm in air.When passing through a liquid,the wavelength reduces to 363 nm.What is the liquid's index of refraction?

A beam of light in air is incident on the surface of a rectangular block of clear plastic (n = 1.49) .If the velocity of the beam before it enters the plastic is 3.00 × 10⁸ m/s,what is its velocity inside the block?

When viewing your image in a hand-held mirror,if you move the mirror away at a speed v,the image appears to:

Monochromatic light hits a piece of glass.What happens to the wavelength in the glass as the index of refraction increases?

A beam of light in air is incident at an angle of 24.0° 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 wavelength of a monochromatic source is 316 nm in vacuum,what is the wavelength from the same source when it passes through a liquid where the speed of light is 1.86 × 10⁸ m/s? (c = 3.00 × 10⁸ m/s)

Dez pours carbon tetrachloride (n = 1.46) 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 24.0° with the normal.Find the angle of the corresponding refracted ray.

As a monochromatic light ray is transmitted through an air-to-glass boundary,what happens to the wavelength?

If light from a 336-nm monochromatic source in air is incident upon the surface of fused quartz (n = 1.56) at an angle of 60°,what is the wavelength of the ray refracted within the quartz?

Quiz 22: Reflection and Refraction of Light

A monochromatic beam of light in air has a wavelength of 427 nm in air.It passes through glass (n = 1.52) and then through carbon disulfide (n = 1.63) .What is its wavelength in the carbon disulfide?

Fused quartz has an index of refraction of 1.50 for light from a 678-nm source.What is the speed of light for this wavelength within the quartz? (c = 3.00 × 108 m/s)

When light reflects and produces a clear image,this reflection is referred to as:

Water has an index of refraction of 1.333.What is the speed of light through it? (c = 3.00 × 108 m/s)

A light ray in air is incident on an air-to-glass boundary at an angle of 33.0° and is refracted in the glass at an angle of 18.5° with the normal.Find the index of refraction of the glass.

A ray of light strikes a thick sheet of glass (n = 1.5) at an angle of 20° with the normal.Find the angle of the refracted ray within the glass with respect to the normal.

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

What is the angle of incidence on an air-to-glass boundary if the angle of refraction in the glass (n = 1.52) is 28.0°?

If the speed of light through an unknown liquid is measured at 1.78 × 108 m/s,what is the index of refraction of this liquid? (c = 3.00 × 108 m/s)

A ray of light travels from a glass-to-liquid interface at an angle of 23°.Indices of refraction for the glass and liquid are,respectively,1.58 and 1.80.What is the angle of refraction for the ray moving through the liquid?

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 monochromatic light source emits a wavelength of 403 nm in air.When passing through a liquid,the wavelength reduces to 363 nm.What is the liquid's index of refraction?

A beam of light in air is incident on the surface of a rectangular block of clear plastic (n = 1.49) .If the velocity of the beam before it enters the plastic is 3.00 × 108 m/s,what is its velocity inside the block?

When viewing your image in a hand-held mirror,if you move the mirror away at a speed v,the image appears to:

Monochromatic light hits a piece of glass.What happens to the wavelength in the glass as the index of refraction increases?

A beam of light in air is incident at an angle of 24.0° 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 wavelength of a monochromatic source is 316 nm in vacuum,what is the wavelength from the same source when it passes through a liquid where the speed of light is 1.86 × 108 m/s? (c = 3.00 × 108 m/s)

Dez pours carbon tetrachloride (n = 1.46) 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 24.0° with the normal.Find the angle of the corresponding refracted ray.

As a monochromatic light ray is transmitted through an air-to-glass boundary,what happens to the wavelength?

If light from a 336-nm monochromatic source in air is incident upon the surface of fused quartz (n = 1.56) at an angle of 60°,what is the wavelength of the ray refracted within the quartz?

Fused quartz has an index of refraction of 1.50 for light from a 678-nm source.What is the speed of light for this wavelength within the quartz? (c = 3.00 × 10⁸ m/s)

Water has an index of refraction of 1.333.What is the speed of light through it? (c = 3.00 × 10⁸ m/s)

If the speed of light through an unknown liquid is measured at 1.78 × 10⁸ m/s,what is the index of refraction of this liquid? (c = 3.00 × 10⁸ m/s)

A beam of light in air is incident on the surface of a rectangular block of clear plastic (n = 1.49) .If the velocity of the beam before it enters the plastic is 3.00 × 10⁸ m/s,what is its velocity inside the block?

If the wavelength of a monochromatic source is 316 nm in vacuum,what is the wavelength from the same source when it passes through a liquid where the speed of light is 1.86 × 10⁸ m/s? (c = 3.00 × 10⁸ m/s)