Question 1

As light goes from one medium to another, it is bent away from the normal. Then:

Accepted Answer

When light bends away from the normal as it passes from one medium to another, it indicates that the speed of light has increased in the second medium. This is because the light bends away from the normal when it moves into a less optically dense medium, where it travels faster.

Question 2

A ray of light passes through three media as shown. The speeds of light in these media obey:

Accepted Answer

The speed of light is given by c/n, where c is the speed of light in vacuum and n is the refractive index of the medium. Let the speed of light in vacuum be c. Then, the speeds of light in the three media are given by: v₁ = c/1.5 v₂ = c/1.6 v₃ = c/1.7 As the refractive index decreases, the speed of light increases. Therefore, v₃ > v₂ > v₁. Hence, the correct answer is C.

Question 3

If n_water = 1.33 and n_glass = 1.50, then total internal reflection at an interface between this glass and water:

Accepted Answer

Total internal reflection can only occur when the light goes from a medium with a higher index of refraction to a medium with a lower index of refraction (i.e. from glass to water in this case). Therefore, option A is incorrect. However, total internal reflection will only occur if the angle of incidence is greater than the critical angle (which can be calculated using Snell's Law). So while it is possible for total internal reflection to occur when the light goes from glass to water, it will only happen if the angle of incidence is greater than the critical angle, and not for all angles of incidence. Therefore, option C is the best choice as it accurately describes the possibility of total internal reflection at this interface.

Question 4

A pole stands in a river, half in and half out of the water. Another pole of the same length stands vertically on the shore at a place where the ground is level. The shadow cast by the pole in the river on the river bottom is:

Accepted Answer

The answer of A pole stands in a river, half...

Question 5

As used in the laws of reflection and refraction, the "normal" direction is:

Accepted Answer

The normal direction is defined as perpendicular to the interface between two media. This is true for both reflection and refraction laws.

Question 6

When an electromagnetic wave meets a reflecting surface, the direction taken by the reflected wave is determined by:

Accepted Answer

The angle of incidence is the angle between the incoming wave and the normal to the reflecting surface. The angle of reflection, or the angle between the reflected wave and the normal, is equal to the angle of incidence. This is known as the law of reflection. The other factors listed may affect other characteristics of the reflected wave, but they do not determine its direction.

Question 7

The rectangular metal tank shown is filled with an unknown liquid. The observer, whose eye is level with the top of the tank, can just see corner E. The index of refraction of this liquid is:

Accepted Answer

The answer of The rectangular metal tank shown is filled...

Question 8

The illustration shows total internal reflection taking place in a piece of glass. The index of refraction of this glass:

Accepted Answer

Total internal reflection occurs when the angle of incidence is greater than the critical angle, which is given by $	heta_c = \sin^{-1}(\frac{1}{n})$, where $n$ is the index of refraction of the medium. In this case, since total internal reflection is occurring, we know that the angle of incidence is greater than the critical angle, which means that $\sin^{-1}(\frac{1}{n}) < 1$. Solving for $n$, we get $n > \frac{1}{\sin(1)} \approx 1.15$. Therefore, the index of refraction of the glass is at least 1.15, and the best choice is C.

Question 9

The index of refraction for diamond is 2.5. Which of the following is correct for the situation shown?

Accepted Answer

The correct relationship for the situation shown is Snell's law, which states that (sin a)/(sin b) = (n2)/(n1). In this case, n1 is the index of refraction of air (assumed to be 1) and n2 is the index of refraction of diamond (2.5). Rearranging this equation gives (sin a)/(sin b) = 2.5, which is choice D.

Question 10

The index of refraction of a certain glass is 1.50. The sine of the critical angle for total internal reflection at a glass-air interface is:

Accepted Answer

The critical angle is given by the equation sinθc=1/n where n is the index of refraction of the material. Therefore, sinθc=1/1.50=0.67.

Question 11

When light travels from medium X to medium Y as shown:

Accepted Answer

When light travels from medium X to medium Y, it enters a denser medium with a higher refractive index. This causes the speed of light to decrease. According to the equation v = fλ, if v decreases and f remains constant, λ must also decrease. Therefore, both the speed and the wavelength decrease, while the frequency remains constant.

Question 12

If n_water = 1.33, what is the angle of refraction for the ray shown?

Accepted Answer

Using Snell's Law:
n1sin(theta1) = n2sin(theta2)
where n1 = refractive index of air (approx. 1)
n2 = refractive index of water (given as 1.33)
theta1 = angle of incidence (given as 30 degrees)

Solving for theta2:
theta2 = arcsin((n1/n2)sin(theta1))
theta2 = arcsin((1/1.33)sin(30))
theta2 ≈ 42 degrees (rounded to nearest degree)

Therefore, the angle of refraction is approximately 42 degrees, so the correct answer is choice D.

Question 13

The index of refraction of benzene is 1.80. The critical angle for total internal reflection, at a benzene-air interface, is about:

Accepted Answer

The critical angle is given by the equation sin⁡θc=n2/n1, where n1 is the index of refraction of the medium with the smaller index (in this case, air) and n2 is the index of refraction of the medium with the larger index (in this case, benzene). Plugging in the given values, we get:
sin⁡θc=1/1.8
Using a calculator or trig tables, we find:
θc≈34.26°
Therefore, the best choice is C, 34°.

Question 14

A ray of light passes obliquely through a plate of glass having parallel faces. The emerging ray:

Accepted Answer

When a ray of light passes through a plate of glass with parallel faces, it emerges parallel to the incident ray but is displaced sideways due to refraction at both surfaces. The direction of the ray does not change; only its position does.

Question 15

Which diagram below illustrates the path of a light ray as it travels from a given point X in air to another given point Y in glass?

Accepted Answer

The answer of Which diagram below illustrates the path of...

Question 16

The critical angle for total internal reflection at a diamond-air interface is 25 $\degree$ Suppose light is incident at an angle of $\theta$with the normal. Total internal reflection will occur if the incident medium is:

Accepted Answer

Total internal reflection occurs when light moves from a medium with a higher refractive index to one with a lower refractive index at an angle of incidence greater than the critical angle. Since diamond has a higher refractive index than air, and the critical angle is 25 degrees, total internal reflection will occur if the light is in diamond and the angle of incidence is greater than 25 degrees.

Question 17

The diagram shows the passage of a ray of light from air into a substance X. The index of refraction of X is:

Accepted Answer

The index of refraction of a substance is the ratio of the speed of light in vacuum to the speed of light in the substance. In this case, the ray of light is bending away from the normal as it passes into X, indicating that X has a higher index of refraction than air. From the given choices, the only option that represents a significantly higher index of refraction than air is D, which is 1.9.

Question 18

The diagram shows total internal reflection. Which of the following statements is NOT true?

Accepted Answer

The answer of The diagram shows total internal reflection. Which...

Question 19

The separation of white light into colors by a prism is associated with:

Accepted Answer

The separation of white light into colors by a prism is due to the variation of the index of refraction with wavelength. Different colors of light have different wavelengths, which means they experience different amounts of refraction when passing through a prism. This causes them to separate into different colors.

Question 20

When light passes from air to glass, it bends:

Accepted Answer

When light passes from air to glass, it bends toward the normal and slows down. This is because the speed of light is slower in glass than in air, causing the light waves to bend as they enter the glass.

Quiz 33: Electromagnetic Waves

As light goes from one medium to another, it is bent away from the normal. Then:

A ray of light passes through three media as shown. The speeds of light in these media obey:

If n_water = 1.33 and n_glass = 1.50, then total internal reflection at an interface between this glass and water:

A pole stands in a river, half in and half out of the water. Another pole of the same length stands vertically on the shore at a place where the ground is level. The shadow cast by the pole in the river on the river bottom is:

As used in the laws of reflection and refraction, the "normal" direction is:

When an electromagnetic wave meets a reflecting surface, the direction taken by the reflected wave is determined by:

The index of refraction of a certain glass is 1.50. The sine of the critical angle for total internal reflection at a glass-air interface is:

When light travels from medium X to medium Y as shown:

If n_water = 1.33, what is the angle of refraction for the ray shown? $If n<sub>water</sub> = 1.33, what is the angle of refraction for the ray shown? A) 19 \degree B) 22 \degree C) 40 \degree D) 42 \degree E) 48 \degree$

The index of refraction of benzene is 1.80. The critical angle for total internal reflection, at a benzene-air interface, is about:

A ray of light passes obliquely through a plate of glass having parallel faces. The emerging ray:

Which diagram below illustrates the path of a light ray as it travels from a given point X in air to another given point Y in glass?

The critical angle for total internal reflection at a diamond-air interface is 25 $\degree$ Suppose light is incident at an angle of $\theta$ with the normal. Total internal reflection will occur if the incident medium is:

The diagram shows the passage of a ray of light from air into a substance X. The index of refraction of X is: $The diagram shows the passage of a ray of light from air into a substance X. The index of refraction of X is: A) 0.53 B) 0.82 C) 1.2 D) 1.9 E) 3.0$

The diagram shows total internal reflection. Which of the following statements is NOT true?

The separation of white light into colors by a prism is associated with:

When light passes from air to glass, it bends:

Quiz 33: Electromagnetic Waves

As light goes from one medium to another, it is bent away from the normal. Then:

A ray of light passes through three media as shown. The speeds of light in these media obey:

If nwater = 1.33 and nglass = 1.50, then total internal reflection at an interface between this glass and water:

A pole stands in a river, half in and half out of the water. Another pole of the same length stands vertically on the shore at a place where the ground is level. The shadow cast by the pole in the river on the river bottom is:

As used in the laws of reflection and refraction, the "normal" direction is:

When an electromagnetic wave meets a reflecting surface, the direction taken by the reflected wave is determined by:

The rectangular metal tank shown is filled with an unknown liquid. The observer, whose eye is level with the top of the tank, can just see corner E. The index of refraction of this liquid is:

The illustration shows total internal reflection taking place in a piece of glass. The index of refraction of this glass:

The index of refraction for diamond is 2.5. Which of the following is correct for the situation shown?

The index of refraction of a certain glass is 1.50. The sine of the critical angle for total internal reflection at a glass-air interface is:

When light travels from medium X to medium Y as shown:

If nwater = 1.33, what is the angle of refraction for the ray shown?

The index of refraction of benzene is 1.80. The critical angle for total internal reflection, at a benzene-air interface, is about:

A ray of light passes obliquely through a plate of glass having parallel faces. The emerging ray:

Which diagram below illustrates the path of a light ray as it travels from a given point X in air to another given point Y in glass?

The critical angle for total internal reflection at a diamond-air interface is 25 °\degree° Suppose light is incident at an angle of θ\thetaθ with the normal. Total internal reflection will occur if the incident medium is:

The diagram shows the passage of a ray of light from air into a substance X. The index of refraction of X is:

The diagram shows total internal reflection. Which of the following statements is NOT true?

The separation of white light into colors by a prism is associated with:

When light passes from air to glass, it bends:

If n_water = 1.33 and n_glass = 1.50, then total internal reflection at an interface between this glass and water:

If n_water = 1.33, what is the angle of refraction for the ray shown? $If n<sub>water</sub> = 1.33, what is the angle of refraction for the ray shown? A) 19 \degree B) 22 \degree C) 40 \degree D) 42 \degree E) 48 \degree$

The critical angle for total internal reflection at a diamond-air interface is 25 $\degree$ Suppose light is incident at an angle of $\theta$ with the normal. Total internal reflection will occur if the incident medium is:

The diagram shows the passage of a ray of light from air into a substance X. The index of refraction of X is: $The diagram shows the passage of a ray of light from air into a substance X. The index of refraction of X is: A) 0.53 B) 0.82 C) 1.2 D) 1.9 E) 3.0$