Question 1

A silicon monoxide (n = 1.45)film of 330 nm thickness is used to coat a glass camera lens (n = 1.56).What wavelength of light in the visible region (390 to 710 nm)will be most efficiently transmitted by this system? (1 nm = 10−⁹ m)

Accepted Answer

C

Question 2

How far,in wavelengths,does the movable mirror travel in a Michelson interferometer travel going from intensity maximum to the next intensity maximum?

Accepted Answer

A

Question 3

Two flat glass plates are in contact along one end and are separated by a sheet of tissue paper at the other end.A monochromatic source of wavelength 490 nm illuminates the top plate.If 20 dark bands are counted across the top plate,what is the paper thickness? (1 nm = 10−⁹ m)Note that a dark band occurs where the plates contact.

Accepted Answer

The paper thickness can be calculated using the formula:

t = (m + 1/2)λ/2n

where, 
t = thickness of the paper 
m = number of dark bands 
λ = wavelength of light 
n = refractive index of the medium between the plates (in this case, air)

Here, 
m = 20 
λ = 490 nm 
n = 1 (for air)

Substituting the values, we get:

t = (20 + 1/2) x 490 nm / 2

t = 4.7 × 10^-6 m

Converting to nanometers, we get:

t = 4.7 × 10^-16 m

Therefore, the paper thickness is 4.7 × 10^-16 m, which is closest to option C.

Question 4

Waves from a radio station with a wavelength of 900 m arrive at a home receiver a distance 50 km away from the transmitter by two paths.One arrives via a direct-line path and the second by reflection from a mountain directly behind the receiver.What is the minimum distance between the mountain and receiver such that destructive interference occurs at the location of the listener? Assume no phase change on reflection.

Accepted Answer

Destructive interference occurs when the path difference is an odd multiple of half-wavelengths. The wavelength is 900 m, so half of that is 450 m. The path difference must be 450 m for the first instance of destructive interference. Since the wave travels to the mountain and back, the minimum distance to the mountain is 225 m (450 m / 2).

Question 5

What wavelength monochromatic source in the visible region (390 to 710 nm)can be used to constructively reflect off a soap film (n = 1.46)in air if the film is 288 nm thick?

Accepted Answer

For constructive interference in a thin film, the condition is 2 * n * d = m * λ, where n is the refractive index, d is the thickness, and λ is the wavelength. For m = 1, 2 * 1.46 * 288 nm = 561 nm, which is within the visible range.

Question 6

A beam of light of wavelength 600 nm is incident along the normal to two closely spaced parallel glass plates.For what air gap separation between the plates will the transmitted beam be of maximum intensity? (1 nm = 10−⁹ m)

Accepted Answer

When a beam of light is incident on two parallel plates, some of it is reflected and some is transmitted. The transmitted beam is constructively or destructively reinforced depending on the path difference between the two beams.
 
For constructive interference of the transmitted beam, the path difference between the two beams should be equal to an integer multiple of the wavelength of the light. Mathematically,

2d cosθ = mλ,

where d is the thickness of the glass plates, θ is the angle of incidence (which is zero in this case as the beam is incident along the normal), m is an integer, and λ is the wavelength of light.

Since m=0 for maximum intensity, we have:

2d cosθ = 0

or

2d = nλ,

where n = 1 (since the light is passing from air to glass) and λ = 600 nm.

Therefore, d = λ/2 = 300 nm.

Hence, the air gap separation between the plates for the maximum intensity of the transmitted beam is 300 nm.

Question 7

When light passes from a material with a low index of refraction into material with a high index of refraction:

Accepted Answer

When light passes from a material with a low index of refraction into a material with a high index of refraction, some light is reflected with a 180° change of phase. This is known as a phase inversion or a reflection with a π phase shift.

Question 8

A silicon monoxide thin film (n = 1.45)of thickness 77.6 nm is applied to a camera lens made of glass (n = 1.55).This will result in a destructive interference for reflected light of what wavelength?

Accepted Answer

The answer of A silicon monoxide thin film (n =...

Question 9

What wavelength monochromatic source in the visible region (390 to 710 nm)can be used to constructively reflect off a soap film (n = 1.46)in air if the film is 70.0 nm thick?

Accepted Answer

The answer of What wavelength monochromatic source in the visible...

Question 10

A hair is placed at one edge between two flat glass plates.When this arrangement is illuminated with yellow light of wavelength (λ = 600 nm),a total of 61 dark bands are counted starting at the point of contact between the plates.How thick is the hair? (1 nm = 10−⁹ m)Note that a dark band occurs where the plates contact.

Accepted Answer

The answer of A hair is placed at one edge...

Question 11

Light travels from inside a building to outside through a pane of glass.Which of the following is true regarding the phase change upon reflection in the case?

Accepted Answer

When light reflects off a medium that has a higher index of refraction than the medium it is coming from, a 180-degree phase change occurs. Inside the building, the glass has a higher index of refraction than air, so a phase change occurs at the inside surface.

Question 12

Two closely spaced parallel glass plates are separated by 900 nm.What wavelength light source in the visible region (390 nm to 710 nm)will experience maximum transmission through the two plates?

Accepted Answer

The answer of Two closely spaced parallel glass plates are...

Question 13

Two flat glass plates are in contact along one end and are separated by a sheet of paper 3.0 × 10−⁶ m thick at the other end.The top plate is illuminated by a monochromatic light source of wavelength 490 nm.How many dark parallel bands will be evident across the top plate? (1 nm = 10−⁹ m)Note that a dark band occurs where the plates contact.

Accepted Answer

The answer of Two flat glass plates are in contact...

Question 14

A possible means for making an airplane radar-invisible is to coat the plane with an antireflective polymer.If radar waves have a wavelength of 3.84 cm,and the index of refraction of the polymer is n = 1.6,how thick would the coating be if a 180° phase change occurs at both surfaces?

Accepted Answer

The answer of A possible means for making an airplane...

Question 15

Light of wavelength 500 nm shines on a soap bubble film (n = 1.46).For what soap film thickness,other than the minimum thickness,will constructive interference occur?

Accepted Answer

The answer of Light of wavelength 500 nm shines on...

Question 16

Two thin layers of material with different indices of refraction are coated on a glass plate.The outer first material has n₁ = 1.404,the inner second material has n₂ = 1.176,and the glass has n_glass = 1.62.If light is incident from air on the first layer,what is the phase change relative to that of the first layer reflection for light that reflects from the glass?

Accepted Answer

The answer of Two thin layers of material with different...

Question 17

What is the minimum thickness of a glycerin film (n = 1.47)on which light of wavelength 450 nm shines that results in constructive interference of the reflected light? Assume the film is surrounded front and back by air.

Accepted Answer

The minimum thickness for constructive interference is given by: 
2t = (m + 1/2)λ/n 
where t is the thickness of the film, λ is the wavelength of light, n is the refractive index of the film, and m is an integer representing the order of interference. For m = 0 (first order), we get: 
2t = λ/ n 
Substituting the given values, we get: 
2t = 450 nm / 1.47 
t = 76.5 nm

Question 18

A soap bubble (n = 1.35)is floating in air.If the thickness of the bubble wall is 322 nm,which of the following wavelengths of visible light is strongly reflected?

Accepted Answer

The answer of A soap bubble (n = 1.35)is floating...

Question 19

When using 529-nm light,how far is the adjustable mirror of a Michelson interferometer moved when 600 fringe shifts are counted? A fringe shift occurs when the intensity goes from bright to dark or when it goes from dark to bright.

Accepted Answer

The answer of When using 529-nm light,how far is the...

Question 20

A puddle of water (n = 1.33)is covered with a very thin layer of oil (n = 1.20).How thick is the oil in the region that strongly reflects light with a wavelength of 497 nm?

Accepted Answer

The thickness of the oil is given by:$$t = \frac{\lambda}{4n}$$where $\lambda$ is the wavelength of light and $n$ is the index of refraction of the oil. Substituting the given values, we get:$$t = \frac{497 	ext{ nm}}{4(1.20)} = 207 	ext{ nm}$$

Quiz 25: Optical Instruments: Part A

A silicon monoxide (n = 1.45) film of 330 nm thickness is used to coat a glass camera lens (n = 1.56) .What wavelength of light in the visible region (390 to 710 nm) will be most efficiently transmitted by this system? (1 nm = 10−⁹ m)

How far,in wavelengths,does the movable mirror travel in a Michelson interferometer travel going from intensity maximum to the next intensity maximum?

What wavelength monochromatic source in the visible region (390 to 710 nm) can be used to constructively reflect off a soap film (n = 1.46) in air if the film is 288 nm thick?

A beam of light of wavelength 600 nm is incident along the normal to two closely spaced parallel glass plates.For what air gap separation between the plates will the transmitted beam be of maximum intensity? (1 nm = 10−⁹ m)

When light passes from a material with a low index of refraction into material with a high index of refraction:

A silicon monoxide thin film (n = 1.45) of thickness 77.6 nm is applied to a camera lens made of glass (n = 1.55) .This will result in a destructive interference for reflected light of what wavelength?

What wavelength monochromatic source in the visible region (390 to 710 nm) can be used to constructively reflect off a soap film (n = 1.46) in air if the film is 70.0 nm thick?

Light travels from inside a building to outside through a pane of glass.Which of the following is true regarding the phase change upon reflection in the case?

Two closely spaced parallel glass plates are separated by 900 nm.What wavelength light source in the visible region (390 nm to 710 nm) will experience maximum transmission through the two plates?

A possible means for making an airplane radar-invisible is to coat the plane with an antireflective polymer.If radar waves have a wavelength of 3.84 cm,and the index of refraction of the polymer is n = 1.6,how thick would the coating be if a 180° phase change occurs at both surfaces?

Light of wavelength 500 nm shines on a soap bubble film (n = 1.46) .For what soap film thickness,other than the minimum thickness,will constructive interference occur?

What is the minimum thickness of a glycerin film (n = 1.47) on which light of wavelength 450 nm shines that results in constructive interference of the reflected light? Assume the film is surrounded front and back by air.

A soap bubble (n = 1.35) is floating in air.If the thickness of the bubble wall is 322 nm,which of the following wavelengths of visible light is strongly reflected?

When using 529-nm light,how far is the adjustable mirror of a Michelson interferometer moved when 600 fringe shifts are counted? A fringe shift occurs when the intensity goes from bright to dark or when it goes from dark to bright.

A puddle of water (n = 1.33) is covered with a very thin layer of oil (n = 1.20) .How thick is the oil in the region that strongly reflects light with a wavelength of 497 nm?

Quiz 25: Optical Instruments: Part A

A silicon monoxide (n = 1.45) film of 330 nm thickness is used to coat a glass camera lens (n = 1.56) .What wavelength of light in the visible region (390 to 710 nm) will be most efficiently transmitted by this system? (1 nm = 10−9 m)

How far,in wavelengths,does the movable mirror travel in a Michelson interferometer travel going from intensity maximum to the next intensity maximum?

What wavelength monochromatic source in the visible region (390 to 710 nm) can be used to constructively reflect off a soap film (n = 1.46) in air if the film is 288 nm thick?

A beam of light of wavelength 600 nm is incident along the normal to two closely spaced parallel glass plates.For what air gap separation between the plates will the transmitted beam be of maximum intensity? (1 nm = 10−9 m)

When light passes from a material with a low index of refraction into material with a high index of refraction:

A silicon monoxide thin film (n = 1.45) of thickness 77.6 nm is applied to a camera lens made of glass (n = 1.55) .This will result in a destructive interference for reflected light of what wavelength?

What wavelength monochromatic source in the visible region (390 to 710 nm) can be used to constructively reflect off a soap film (n = 1.46) in air if the film is 70.0 nm thick?

Light travels from inside a building to outside through a pane of glass.Which of the following is true regarding the phase change upon reflection in the case?

Two closely spaced parallel glass plates are separated by 900 nm.What wavelength light source in the visible region (390 nm to 710 nm) will experience maximum transmission through the two plates?

A possible means for making an airplane radar-invisible is to coat the plane with an antireflective polymer.If radar waves have a wavelength of 3.84 cm,and the index of refraction of the polymer is n = 1.6,how thick would the coating be if a 180° phase change occurs at both surfaces?

Light of wavelength 500 nm shines on a soap bubble film (n = 1.46) .For what soap film thickness,other than the minimum thickness,will constructive interference occur?

What is the minimum thickness of a glycerin film (n = 1.47) on which light of wavelength 450 nm shines that results in constructive interference of the reflected light? Assume the film is surrounded front and back by air.

A soap bubble (n = 1.35) is floating in air.If the thickness of the bubble wall is 322 nm,which of the following wavelengths of visible light is strongly reflected?

When using 529-nm light,how far is the adjustable mirror of a Michelson interferometer moved when 600 fringe shifts are counted? A fringe shift occurs when the intensity goes from bright to dark or when it goes from dark to bright.

A puddle of water (n = 1.33) is covered with a very thin layer of oil (n = 1.20) .How thick is the oil in the region that strongly reflects light with a wavelength of 497 nm?

A silicon monoxide (n = 1.45) film of 330 nm thickness is used to coat a glass camera lens (n = 1.56) .What wavelength of light in the visible region (390 to 710 nm) will be most efficiently transmitted by this system? (1 nm = 10−⁹ m)

A beam of light of wavelength 600 nm is incident along the normal to two closely spaced parallel glass plates.For what air gap separation between the plates will the transmitted beam be of maximum intensity? (1 nm = 10−⁹ m)