Question 1

The critical angle for total internal reflection at a diamond-air interface is 25°.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 2

When light passes from air to glass, it bends:

Accepted Answer

This is known as refraction. The light bends towards the normal (the line perpendicular to the surface) and slows down when it passes from air to glass because the glass is a denser medium.

Question 3

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 4

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

Accepted Answer

The critical angle for total internal reflection can be calculated using the equation sin C = n2/n1, where n2 is the refractive index of the medium outside the glass and n1 is the refractive index of the glass. In this case, n2 = 1 (assumed air) and sin C = 1/n1. Since total internal reflection is occurring, the angle of incidence is greater than the critical angle. Therefore, we know that n1 > n2 and sin C > 1/n1. Combining these two equations, we get n1 > 1/sin C. The smallest value of n1 that satisfies this inequality is when C = 90 degrees, which would give us n1 > 1. This eliminates choices A and B. A refractive index of 1.15 is relatively low and would not give strong total internal reflection, so we can eliminate choice D. This leaves us with choice C, which is the best answer.

Question 5

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 6

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

Accepted Answer

The direction taken by the reflected wave is determined by the angle of incidence, which is the angle between the incident wave and the normal to the reflecting surface. This is known as the law of reflection. The other choices are not directly relevant to the determination of the direction of the reflected wave.

Question 7

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

Accepted Answer

The answer of The index of refraction for diamond is...

Question 8

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

Accepted Answer

The answer of If n_water = 1.33, what is the...

Question 9

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

Accepted Answer

The answer of A ray of light passes through three...

Question 10

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 11

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

Accepted Answer

The variation of index of refraction with wavelength causes each color of light to bend at a different angle as it passes through the prism, resulting in the separation of white light into its component colors.

Question 12

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

Accepted Answer

The "normal" direction in the laws of reflection and refraction refers to a line perpendicular to the interface between two media. Therefore, the best choice is E, which states that the normal direction is perpendicular to the interface. Choice D is incorrect because it refers to the electric field vector, which is not necessarily related to the normal direction. Choices A, B, and C are also incorrect because they do not specify a direction that is perpendicular to the interface.

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 can be calculated using the formula: sin(θc) = 1/n, where n is the index of refraction. Plugging in the values, we get: sin(θc) = 1/1.80. Solving for θc, we get: θc = 34.15°. Rounding to the nearest degree, the answer is choice C: 34°.

Question 14

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 15

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 of...

Question 16

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 occurs when light moves from a medium with a higher refractive index to a medium with a lower refractive index, at an angle of incidence greater than the critical angle. Since the refractive index of glass (1.50) is higher than that of water (1.33), total internal reflection may occur when light goes from glass to water, if the conditions are right.

Question 17

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 18

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, θc, is given by θc = sin⁻¹(n2/n1), where n1 and n2 are the indices of refraction of the two mediums in contact (in this case, glass and air).

So, sin θc = sin(sin⁻¹(n2/n1)) = n2/n1.

For total internal reflection to occur, θ > θc, where θ is the angle of incidence. At the critical angle, θ = θc, so we have sin θ = sin θc = n2/n1.

Plugging in n1 = 1 (since we're in air) and n2 = 1.50 (given for the glass), we get sin θc = 0.67. Therefore, the answer is B.

Question 19

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 angle of incidence is larger than the angle of refraction, indicating that the substance X has a higher index of refraction than air. Using Snell's Law, n₁sinθ₁ = n₂sinθ₂, where n₁ is the index of refraction of air (approximately 1) and θ₁ is the angle of incidence (approximately 60 degrees). Solving for n₂, we get approximately 1.9. Therefore, the best choice is D.

Question 20

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. As a result, both the speed and the wavelength of light decrease. This is because light travels slower in a denser medium and the frequency of light remains constant regardless of the medium it travels through. Therefore, the correct choice is C, as both the speed and the wavelength decrease.

Quiz 33: Electromagnetic Waves

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

When light passes from air to glass, it bends:

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?

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

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

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

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:

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

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

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

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

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

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

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

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:

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

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

Quiz 33: Electromagnetic Waves

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

When light passes from air to glass, it bends:

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

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:

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

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

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

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

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:

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

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

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

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

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

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

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

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:

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

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

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

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

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

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