Question 1

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 phenomenon of dispersion, where the index of refraction of the glass varies with the wavelength of light. This causes different colors to bend at different angles as they pass through the prism, leading to the separation of white light into a spectrum of colors.

Question 2

A ray of light in water (index n₁)is incident on its surface (with air)at the critical angle.Some oil (index n₂)is now floated on the water.The angle between the ray in the oil and the normal is:

Accepted Answer

When the ray of light is incident on the water surface with air at the critical angle, it means that the angle of incidence i is equal to the critical angle of water, which is approximately 48.6 degrees. At this angle, the angle of refraction in water is 90 degrees. Therefore, the angle of incidence in the oil layer is also 48.6 degrees, because the angle of refraction in water-oil interface is the same as the angle of incidence in water-air interface.

Now, using Snell's law, we can write:
sin(i)/sin(r) = n(water)/n(air)
where n(water) = 1.33 and n(air) = 1 (approx.)

Rearranging, we get:
sin(r) = sin(i)/n(water)

Substituting the values, we get:
sin(r) = sin(48.6)/1.33 = 0.362

Therefore, the angle between the ray in oil and the normal is sin^-1(0.362) = 21.6 degrees.

The refractive index of oil is not required to calculate this angle, because it only affects the angle of refraction at the water-oil interface, which is not used in this calculation.

Question 3

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 4

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 5

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 the angle of incidence is larger than the critical angle, which is dependent on the refractive indices of the two mediums. In this case, since the refractive index of water is less than the refractive index of glass, the critical angle for light going from glass to water is smaller than the critical angle for light going from water to glass. Therefore, total internal reflection may occur when the light goes from glass to water, but not when it goes from water to glass.

Question 6

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 7

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 answer of The diagram shows the passage of a...

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

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

Accepted Answer

The normal direction is always perpendicular to the interface between the two media. This is the direction used to measure angles of incidence and refraction in both laws of reflection and refraction.

Question 10

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 11

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 12

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 13

For a beam of light in air (n = 1)reflecting off glass (n = 1.5), what is Brewster's angle?

Accepted Answer

The answer of For a beam of light in air...

Question 14

When light passes from air to glass, it bends:

Accepted Answer

When light passes from air to glass, its speed decreases and its direction changes. The light bends toward the normal (an imaginary line perpendicular to the surface of the glass) and slows down. This occurs because the glass has a higher refractive index than air, which causes the light to change its direction and speed. Therefore, choice B is the correct answer.

Question 15

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 (θc) can be calculated using the formula sin θc = 1/n, where n is the index of refraction of the material. For benzene, sin θc = 1/1.80 = 0.556, which gives an angle of approximately 34°. Therefore, the best choice is C.

Question 16

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 17

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 for total internal reflection can be calculated using the formula: sin(critical angle) = 1/n, where n is the index of refraction of the medium.

So, sin(critical angle) = 1/1.50 = 0.67. Therefore, the correct choice is (B) 0.67.

Question 18

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 19

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

Accepted Answer

The answer of The illustration shows total internal reflection taking...

Question 20

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

Accepted Answer

The angle of incidence determines the angle of reflection according to the law of reflection. The other options may affect the properties of the reflected wave, but they do not determine the direction of the reflected wave.

Quiz 33: Electromagnetic Waves

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

A ray of light in water (index n₁) is incident on its surface (with air) at the critical angle.Some oil (index n₂) is now floated on the water.The angle between the ray in the oil and the normal is:

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:

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

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

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

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

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?

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

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:

For a beam of light in air (n = 1) reflecting off glass (n = 1.5) , what is Brewster's angle?

When light passes from air to glass, it bends:

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

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:

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

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

Quiz 33: Electromagnetic Waves

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

A ray of light in water (index n1) is incident on its surface (with air) at the critical angle.Some oil (index n2) is now floated on the water.The angle between the ray in the oil and the normal is:

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 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:

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

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

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

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

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

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?

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

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:

For a beam of light in air (n = 1) reflecting off glass (n = 1.5) , what is Brewster's angle?

When light passes from air to glass, it bends:

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

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:

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

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

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

A ray of light in water (index n₁) is incident on its surface (with air) at the critical angle.Some oil (index n₂) is now floated on the water.The angle between the ray in the oil and the normal is:

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

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: