Question 1

The speed of light changes when it goes from ethyl alcohol (n = 1.36) to carbon tetrachloride (n = 1.46).The ratio of the speed in carbon tetrachloride to the speed in ethyl alcohol, v2/v1, is:

Accepted Answer

The speed of light in a medium is inversely proportional to the refractive index of the medium. Therefore, v2/v1 = n1/n2 = 1.36/1.46 = 0.932.

Question 2

The first successful measurement of the speed of light was made by:

Accepted Answer

Ole Roemer was the first to make a successful measurement of the speed of light in 1676 by observing the motion of Jupiter's moon Io.

Question 3

A diver shines light up to the surface of a flat glass-bottomed boat at an angle of 30$\degree$ relative to the normal.If the index of refraction of water and glass are 1.33 and 1.5, respectively, at what angle (in degrees) does the light leave the glass (relative to its normal)?

Accepted Answer

Using Snell's Law, we can find the angle of refraction (θ2) in the glass:
n1sinθ1 = n2sinθ2
where n1 is the index of refraction of water, θ1 is the incident angle, and n2 is the index of refraction of glass.
Plugging in the values given, we get:
(1.33)sin30 = (1.5)sinθ2
sinθ2 = (1.33/1.5)sin30
θ2 = sin^-1(0.886) = 60.4°
However, we want to find the angle of the light leaving the glass relative to its normal (not the incident angle). We can use the fact that the angle of incidence equals the angle of reflection:
θ2' = θ1 = 30°
Now we can use Snell's Law again to find the angle of refraction in air:
n2sinθ2' = n1sinθ1'
where θ1' is the angle of refraction in water (which we found earlier to be 42°):
(1.5)sin(θ2') = (1.33)sin(θ1')
sin(θ1') = (1.5/1.33)sin(30)
θ1' = sin^-1(0.803) = 53.8°
Finally, we can find the angle of the light leaving the glass relative to its normal:
θ2'' = 180 - θ2' - θ1' = 180 - 30 - 53.8 = 96.2°
And since the question asks for the answer in degrees, we can round to the nearest degree:
Answer: C (42)

Question 4

An aquarium contains a 5-cm layer of water (n = 1.33) floating on top of carbon tetrachloride (n = 1.461).If the angle of incidence into the water from the air is 30$\degree$, what is the angle of refraction into the carbon tetrachloride?

Accepted Answer

The answer of An aquarium contains a 5-cm layer of...

Question 5

Light is refracted through a diamond.If the angle of incidence is 30$\degree$, and the angle of refraction is 12$\degree$0, what is the index of refraction?

Accepted Answer

The answer of Light is refracted through a diamond.If the...

Question 6

A person looks horizontally at the edge of a swimming pool.If its length is 5 m, and the pool is filled to the surface, to what depth (in m) could the observer see? (n for water is 1.33)

Accepted Answer

To calculate the depth the observer can see, we need to use the formula: 
depth = (distance to edge of pool) x (index of refraction of water)

The distance to the edge of the pool is half of the length, which is 5/2 = 2.5 m.

So, depth = 2.5 m x 1.33 = 3.325 m

However, this calculation gives us the total depth that the observer can see, including the part of the pool above the water level. Since we only care about the depth of the water, we need to subtract the height of the pool above the water level.

Assuming the pool is level with the ground and the observer's eyes, the height of the pool above the water level is half the length of the pool times the sine of the angle between the observer's line of sight and the water level.

This angle is given by: 
sin(angle) = opposite/hypotenuse = height of observer's eyes/2.5 m

Assuming an average height of 1.6 m for the observer's eyes, we have: 
sin(angle) = 1.6/2.5

angle = arcsin(0.64) = 41.81 degrees

The height of the pool above the water level is: 
height = (1/2) x 5 x sin(41.81) = 1.755 m

Therefore, the depth of the water that the observer can see is: 
depth = 3.325 - 1.755 = 1.57 m, which is closest to option B (4.4).

Question 7

A person in a boat sees a fish in the water (n = 1.33), the light rays making an angle of 40$\degree$ relative to the water's surface.What is the true angle (in degrees) relative to the water's surface of the same rays when beneath the surface?

Accepted Answer

The angle of incidence in air is equal to the angle of refraction in water (since the light rays are entering the water from air and not from any other medium). Therefore, the ray will make the same angle of 40 degrees with the normal (line perpendicular to the surface of the water) at the point of incidence on the water's surface.

Now, using Snell's law, we can find the angle of refraction at the interface of water and fish.

n1 sin(theta1) = n2 sin(theta2)

where n1 = refractive index of air = 1, 
n2 = refractive index of water = 1.33, 
theta1 = angle of incidence in air = 40 degrees

Substituting the values and solving for theta2,

theta2 = sin^(-1)((n1/n2) * sin(theta1))

theta2 = sin^(-1)((1/1.33) * sin(40))

theta2 = 30.7 degrees (approx)

Therefore, the true angle (in degrees) relative to the water's surface of the same rays when beneath the surface is

90 - theta2 = 90 - 30.7 = 59.3 degrees (approx)

Rounding off to the nearest whole number, we get 59 degrees, which is closest to option D) 55 degrees.

Question 8

Light strikes a diamond (n = 2.42) at an angle of 60$\degree$relative to the normal to the surface.What is the angle of refraction?

Accepted Answer

The answer of Light strikes a diamond (n = 2.42)...

Question 9

An experiment to measure the speed of light uses an apparatus similar to Fizeau's.The distance between the light source and the mirror is 10 m, and the wheel has 800 notches.If the wheel rotates at 9000 rev/s when the light from the source is extinguished, what is the experimental value for c (in m/s)?

Accepted Answer

The answer of An experiment to measure the speed of...

Question 10

Two mirrors are at right angles to one another.If an object is placed near the mirrors, what is the largest number of images that would be seen in the mirrors?

Accepted Answer

The answer of Two mirrors are at right angles to...

Question 11

A layer of ethyl alcohol (n = 1.361) is on top of water (n = 1.333).To the nearest degree, at what angle relative to the normal to the interface of the two liquids is light totally reflected?

Accepted Answer

The answer of A layer of ethyl alcohol (n =...

Question 12

An aquarium contains a 5-cm layer of water (n = 1.333) floating on top of carbon tetrachloride (n = 1.461).If the angle of incidence into the water from the carbon tetrachloride is 20$\degree$, what is the angle of refraction into the air?

Accepted Answer

The answer of An aquarium contains a 5-cm layer of...

Question 13

Two mirrors are at right angles to one another.A light ray is incident on the first at an angle of 30$\degree$ with respect to the normal to the surface.What is the angle of reflection from the second surface?

Accepted Answer

The answer of Two mirrors are at right angles to...

Question 14

Light strikes a diamond (n = 2.42) immersed in glycerin (n = 1.473) at an angle of 60$\degree$relative to the normal to the surface.What is the angle of refraction?

Accepted Answer

Using Snell's law, we can find the angle of refraction: 
n1sinθ1 = n2sinθ2 
where n1 is the index of refraction of the incident medium (air, in this case), θ1 is the angle of incidence, n2 is the index of refraction of the refractive medium (glycerin, in this case), and θ2 is the angle of refraction.
Plug in the values given: 
sin 60F1F1F1S1F1F1F10 = (1.473/2.42)sin θ2 
Solve for θ2: 
θ2 = sin⁻¹(0.7745) 
θ2 ≈ 32F1F1F1S1F1F1F10, so the answer is C.

Question 15

According to Einstein's theory, the energy of a photon is:

Accepted Answer

According to Einstein's theory, the energy of a photon is directly proportional to its frequency. This is represented by the equation E=hf, where E is the energy, h is Planck's constant, and f is the frequency.

Question 16

A light ray is incident on the surface of water (n = 1.33) at an angle of 60$\degree$ relative to the normal to the surface.The angle of the reflected wave is:

Accepted Answer

The answer of A light ray is incident on the...

Question 17

Light behaves like:

Accepted Answer

The answer of Light behaves like:
...

Question 18

A layer of water (n = 1.333) floats on carbon tetrachloride (n = 1.461) contained in an aquarium.To the nearest degree, what is the critical angle at the interface between the two liquids?

Accepted Answer

The critical angle can be calculated using the formula:
sin(critical angle) = n2/n1
where n1 and n2 are the refractive indices of the two media (in this case, water and carbon tetrachloride).

Plugging in the values, we get:
sin(critical angle) = 1.461/1.333
sin(critical angle) = 1.096
Taking the inverse sine of both sides, we get:
critical angle = sin^-1(1.096) = 66.4 degrees

Rounding to the nearest degree, we get the answer of 66 degrees (Choice C).

Question 19

A diver shines an underwater searchlight at the surface of a pond (n = 1.33).At what angle (relative to the surface) will the light be totally reflected?

Accepted Answer

The answer of A diver shines an underwater searchlight at...

Question 20

A light ray whose frequency is 6.00 * 1014 Hz in vacuum is incident on water (n = 1.33).The wavelength of the light after it enters the water is (in nm):

Accepted Answer

The answer of A light ray whose frequency is 6.00...

Quiz 13: The Nature of Light and the Principles of Ray Optics

The speed of light changes when it goes from ethyl alcohol (n = 1.36) to carbon tetrachloride (n = 1.46) .The ratio of the speed in carbon tetrachloride to the speed in ethyl alcohol, v2/v1, is:

The first successful measurement of the speed of light was made by:

A diver shines light up to the surface of a flat glass-bottomed boat at an angle of 30 $\degree$ relative to the normal.If the index of refraction of water and glass are 1.33 and 1.5, respectively, at what angle (in degrees) does the light leave the glass (relative to its normal) ?

An aquarium contains a 5-cm layer of water (n = 1.33) floating on top of carbon tetrachloride (n = 1.461) .If the angle of incidence into the water from the air is 30 $\degree$ , what is the angle of refraction into the carbon tetrachloride?

Light is refracted through a diamond.If the angle of incidence is 30 $\degree$ , and the angle of refraction is 12 $\degree$ 0, what is the index of refraction?

A person looks horizontally at the edge of a swimming pool.If its length is 5 m, and the pool is filled to the surface, to what depth (in m) could the observer see? (n for water is 1.33)

A person in a boat sees a fish in the water (n = 1.33) , the light rays making an angle of 40 $\degree$ relative to the water's surface.What is the true angle (in degrees) relative to the water's surface of the same rays when beneath the surface?

Light strikes a diamond (n = 2.42) at an angle of 60 $\degree$ relative to the normal to the surface.What is the angle of refraction?

Two mirrors are at right angles to one another.If an object is placed near the mirrors, what is the largest number of images that would be seen in the mirrors?

A layer of ethyl alcohol (n = 1.361) is on top of water (n = 1.333) .To the nearest degree, at what angle relative to the normal to the interface of the two liquids is light totally reflected?

An aquarium contains a 5-cm layer of water (n = 1.333) floating on top of carbon tetrachloride (n = 1.461) .If the angle of incidence into the water from the carbon tetrachloride is 20 $\degree$ , what is the angle of refraction into the air?

Two mirrors are at right angles to one another.A light ray is incident on the first at an angle of 30 $\degree$ with respect to the normal to the surface.What is the angle of reflection from the second surface?

Light strikes a diamond (n = 2.42) immersed in glycerin (n = 1.473) at an angle of 60 $\degree$ relative to the normal to the surface.What is the angle of refraction?

According to Einstein's theory, the energy of a photon is:

A light ray is incident on the surface of water (n = 1.33) at an angle of 60 $\degree$ relative to the normal to the surface.The angle of the reflected wave is:

Light behaves like:

A layer of water (n = 1.333) floats on carbon tetrachloride (n = 1.461) contained in an aquarium.To the nearest degree, what is the critical angle at the interface between the two liquids?

A diver shines an underwater searchlight at the surface of a pond (n = 1.33) .At what angle (relative to the surface) will the light be totally reflected?

A light ray whose frequency is 6.00 * 1014 Hz in vacuum is incident on water (n = 1.33) .The wavelength of the light after it enters the water is (in nm) :

Quiz 13: The Nature of Light and the Principles of Ray Optics

The speed of light changes when it goes from ethyl alcohol (n = 1.36) to carbon tetrachloride (n = 1.46) .The ratio of the speed in carbon tetrachloride to the speed in ethyl alcohol, v2/v1, is:

The first successful measurement of the speed of light was made by:

A diver shines light up to the surface of a flat glass-bottomed boat at an angle of 30 °\degree° relative to the normal.If the index of refraction of water and glass are 1.33 and 1.5, respectively, at what angle (in degrees) does the light leave the glass (relative to its normal) ?

An aquarium contains a 5-cm layer of water (n = 1.33) floating on top of carbon tetrachloride (n = 1.461) .If the angle of incidence into the water from the air is 30 °\degree° , what is the angle of refraction into the carbon tetrachloride?

Light is refracted through a diamond.If the angle of incidence is 30 °\degree° , and the angle of refraction is 12 °\degree° 0, what is the index of refraction?

A person looks horizontally at the edge of a swimming pool.If its length is 5 m, and the pool is filled to the surface, to what depth (in m) could the observer see? (n for water is 1.33)

A person in a boat sees a fish in the water (n = 1.33) , the light rays making an angle of 40 °\degree° relative to the water's surface.What is the true angle (in degrees) relative to the water's surface of the same rays when beneath the surface?

Light strikes a diamond (n = 2.42) at an angle of 60 °\degree° relative to the normal to the surface.What is the angle of refraction?

Two mirrors are at right angles to one another.If an object is placed near the mirrors, what is the largest number of images that would be seen in the mirrors?

A layer of ethyl alcohol (n = 1.361) is on top of water (n = 1.333) .To the nearest degree, at what angle relative to the normal to the interface of the two liquids is light totally reflected?

An aquarium contains a 5-cm layer of water (n = 1.333) floating on top of carbon tetrachloride (n = 1.461) .If the angle of incidence into the water from the carbon tetrachloride is 20 °\degree° , what is the angle of refraction into the air?

Two mirrors are at right angles to one another.A light ray is incident on the first at an angle of 30 °\degree° with respect to the normal to the surface.What is the angle of reflection from the second surface?

Light strikes a diamond (n = 2.42) immersed in glycerin (n = 1.473) at an angle of 60 °\degree° relative to the normal to the surface.What is the angle of refraction?

According to Einstein's theory, the energy of a photon is:

A light ray is incident on the surface of water (n = 1.33) at an angle of 60 °\degree° relative to the normal to the surface.The angle of the reflected wave is:

Light behaves like:

A layer of water (n = 1.333) floats on carbon tetrachloride (n = 1.461) contained in an aquarium.To the nearest degree, what is the critical angle at the interface between the two liquids?

A diver shines an underwater searchlight at the surface of a pond (n = 1.33) .At what angle (relative to the surface) will the light be totally reflected?

A light ray whose frequency is 6.00 * 1014 Hz in vacuum is incident on water (n = 1.33) .The wavelength of the light after it enters the water is (in nm) :

A diver shines light up to the surface of a flat glass-bottomed boat at an angle of 30 $\degree$ relative to the normal.If the index of refraction of water and glass are 1.33 and 1.5, respectively, at what angle (in degrees) does the light leave the glass (relative to its normal) ?

An aquarium contains a 5-cm layer of water (n = 1.33) floating on top of carbon tetrachloride (n = 1.461) .If the angle of incidence into the water from the air is 30 $\degree$ , what is the angle of refraction into the carbon tetrachloride?

Light is refracted through a diamond.If the angle of incidence is 30 $\degree$ , and the angle of refraction is 12 $\degree$ 0, what is the index of refraction?

A person in a boat sees a fish in the water (n = 1.33) , the light rays making an angle of 40 $\degree$ relative to the water's surface.What is the true angle (in degrees) relative to the water's surface of the same rays when beneath the surface?

Light strikes a diamond (n = 2.42) at an angle of 60 $\degree$ relative to the normal to the surface.What is the angle of refraction?

An aquarium contains a 5-cm layer of water (n = 1.333) floating on top of carbon tetrachloride (n = 1.461) .If the angle of incidence into the water from the carbon tetrachloride is 20 $\degree$ , what is the angle of refraction into the air?

Two mirrors are at right angles to one another.A light ray is incident on the first at an angle of 30 $\degree$ with respect to the normal to the surface.What is the angle of reflection from the second surface?

Light strikes a diamond (n = 2.42) immersed in glycerin (n = 1.473) at an angle of 60 $\degree$ relative to the normal to the surface.What is the angle of refraction?

A light ray is incident on the surface of water (n = 1.33) at an angle of 60 $\degree$ relative to the normal to the surface.The angle of the reflected wave is: