A thin layer of magnesium fluoride (n = 1.38) is used to coat a flint-glass lens (n = 1.61).
What thickness should the magnesium fluoride film have if the reflection of 707-nm light is to be suppressed? Assume that the light is incident at right angles to the film.

Answers

Answer 1

The thickness of the magnesium fluoride film should be 205.7 nm to suppress the reflection of 707-nm light.

To suppress the reflection of 707-nm light, we need to create destructive interference between the waves reflected from the top and bottom surfaces of the magnesium fluoride film.

The condition for destructive interference is:

[tex]2nt = (m + 1/2)λ[/tex]

where n is the refractive index of the magnesium fluoride film, t is the thickness of the film, m is an integer representing the order of the interference, and λ is the wavelength of the light in vacuum.

In this case, we want m = 0, so the equation simplifies to:

2nt = λ/2

We are given n1 = 1.38 and n2 = 1.61, and the wavelength of light in vacuum λ = 707 nm. We can use the formula for the reflection coefficient at an interface between two media:

[tex]r = (n1 - n2)/(n1 + n2)[/tex]

to find the phase shift upon reflection at the top surface of the film. In this case, the reflection coefficient is:

r = (1.38 - 1.61)/(1.38 + 1.61) = -0.11

The phase shift is then:

δ = 2πr = -0.69π

The phase shift upon reflection at thebof the film is zero since the light is going from a higher to a lower refractive index medium. Therefore, the total phase shift upon reflection from both surfaces is:

Δ = 2δ = -1.38π

To create destructive interference, we need to adjust the thickness of the film so that the total phase shift upon reflection is an odd multiple of π. In other words:

Δ = (2n + 1)π

where n is an integer. Solving for t, we get:

[tex]t = [(2n + 1)λ/4n] / (n2 - n1)[/tex]

Plugging in the given values, we get:

[tex]t = [(2(0) + 1)(707 nm)/(4(0))] / (1.61 - 1.38) = 205.7 nm[/tex]

Therefore, the thickness of the magnesium fluoride film should be 205.7 nm to suppress the reflection of 707-nm light.

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Related Questions

Where does photosynthesis occur in a plant cell? In what part of a plant cell does photosynthesis occur?

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Explanation:

In plants, photosynthesis takes place in chloroplasts, which contain the chlorophyll.

Answer:

chloroplasts

In plants, photosynthesis takes place in chloroplasts, which contain the chlorophyll

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In plants, photosynthesis takes place in chloroplasts, which contain the chlorophyll. Chloroplasts are surrounded by a double membrane and contain a third inner membrane, called the thylakoid membrane, that forms long folds within the organelle.

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hakuna matata

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1. X-linked (also called sex-linked traits) are inherited on the _____ chromosome.

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Answer:

Genes on the X chromosome are said to be X-linked. X-linked genes have distinctive inheritance patterns because they are present in different numbers in females (XX) and males (XY). X-linked human genetic disorders are much more common in males than in females due to the X-linked inheritance pattern.

Explanation:

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Answer:

Decomposition of ores produces separated element.

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Explanation: i just did it, hope this helps :)

What is the VSEPR shape of BHI2?

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b.) trigonal planar
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Answers

Answer:

The answer is B

Explanation:

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How many carbon (C) atoms are in CaCo3?​

Answers

Answer:

Calcium carbonate is a molecule that contains one atom of calcium, one atom of carbon, and three atoms of oxygen.

:)

Answer:

i thinks its one carbon atom

Explanation:

What happens to potential energy as kinetic energy increases during a roller coaster ride?

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Answer:

On a roller coaster, energy changes from potential to kinetic energy and back again many times over the course of a ride. Kinetic energy is energy that an object has as a result of its motion. Potential energy is the energy an object has as a result of its position

Explanation:

The water cycle describes the movement of water on Earth. Water in oceans and lakes evaporates and turns into water vapor. This water vapor condenses and forms clouds which produce precipitation. Precipitation falls all over the Earth's surface. The water eventually comes back to the oceans through run-off. Which steps in the water cycle carry water out of an ocean and into a freshwater lake?
A. Evaporation and precipitation
B. Rivers and streams
C. Underground tunnels
D. Condensation and run-off

Answers

Answer:

c. Underground tunnels

Explanation:

Yes, water below your feet is moving all the time, but, no, if you have heard there are rivers flowing below ground, that is not true. Water moves underground downward and sideways, in great quantities, due to gravity and pressure. Eventually it emerges back to the land surface, into rivers, and into the oceans to keep the water cycle going.

Note: This section of the Water Science School discusses the Earth's "natural" water cycle without human interference.

The steps in the water cycle that carries water out of the ocean into a freshwater lake are rivers and streams.

What is the water cycle?

The water cycle is used to describe the movement of water in the ecosystem. It involves the various processes through which water can move in the universe.

The steps in the water cycle that carries water out of the ocean into a freshwater lake are rivers and streams.

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PLS HELP *10 POINTS* I WILL GIVE BRAINLIEST

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Answer:

Eurkaryote... sorry if i wrong

Explanation:

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T stands for title, A stands for axes, I stands for intervals, L stands for labels, S stands for stands.

Denise was driving east over a hill in the afternoon, shortly after a rain shower. Suddenly the sun broke through the clouds, and she saw a rainbow ahead of her. Which of the following made the rainbow possible?

Answers

Answer: A. Raindrops act like a prism and separate the white light in sunlight.

Explanation:

The reason for the formation of rainbow is option A. Raindrop acts like a prism and separate the white lite into different colors.

What is rainbow?

Rainbow is an arc of colors from a white light ray which can be formed by the separation of component colors from white light by the combination of reflection, and refraction.

White light absorbs all colors and reflect all of them. That is why a white object is seen white the mix of all colors. When the white light passes through a raindrop, it gets refracted, the refracted light then reflects from the drop and undergo one more refraction and that make the component colors  in the form a bent or arc.

Therefore, raindrop is acting like a prism to separate the white light into its component colors.  Hence, option A is correct.

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As stated in the article, “As Sticky as a Gecko . . . but Ten Times Stronger!,” the adhesive the researchers developed sticks best when it is pulled down parallel to the surface. What type of adhesion is this called?

The answer is Shear Adhesion, i just took the test on 21 edge.

Answers

Answer:

shear adhesion

Explanation:

edge

Shear adhesion sticks best when it is pulled down parallel to the surface.

What is shear adhesion?

Shear adhesion is defined as the ability  of tape due to which it resists the static forces which are applied in same plane as in backing.It is usually expressed in terms of time required  by a given weight for an amount of tape to become loose  from a vertical plane.

Molecular weight between two entanglements is the controlling factor of shear adhesion. Shear adhesion is affected by the following parameters which areas follows:

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2)  Tan delta  minimum value of adhesive- It is found that shear adhesion improves by an increase in tan delta minimum value.

3)Adhesive polarity- It is an important factor which affects adhesion  such as tack,peel and shear.Adhesion performances are improved by introducing polar ingredients in the formulation.

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g

Answers

Answer:

124g  

Explanation:

The concept stoichiometry is used here to determine the mass of Na₂O. The grams of Na₂O required to produce 1.60 x 10² grams of NaOH is  124 g.

What is Stoichiometry?

The stoichiometry is an important concept of chemistry which help us to use the balanced chemical equation to calculate the amounts of reactants and products. The stoichiometric coefficient is the number of molecules that can participate in the reaction.

The balanced equation is:

Na₂O + H₂O → 2NaOH

1 mole of Na₂O is required to react with 1 mole of  H₂O to give 2 moles of NaOH.

62 g of Na₂O produces 80 g of NaOH.

1 g of NaOH is produced from 62/80 g of Na₂O .

1.6 × 10² g of NaOH will require 62 × 1.6 × 10² g / 80 g of Na₂O = 124 g Na₂O

Thus the grams of Na₂O required to produce 1.6 × 10² g of NaOH is 124 g.

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(b) in what way are carbon dioxide and orange juice similar?​

Answers

Answer:

The effects of supercritical CO2 (SC-CO2) on the microbiological, sensory (taste, odour, and colour), nutritional (vitamin C content), and physical (cloud, total acidity, pH, and °Brix) qualities of orange juice were studied. The CO2 treatment was performed in a 1 litre capacity double-walled reactor equipped with a magnetic stirring system. Freshly extracted orange juice was treated with supercritical CO2, pasteurised at 90°C, or left untreated. There were no significant differences in the sensory attributes and physical qualities between the CO2 treated juice and freshly extracted juice. The CO2 treated juice retained 88% of its vitamin C, while the pasteurised juice was notably different from the fresh juice and preserved only 57% of its vitamin C content. After 8 weeks of storage at 4°C, there was no microbial growth in the CO2 treated juice.

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Answer:

Copper(i) nitrate

Explanation:

That is the correct name.

Answer:

Molecular Formula

Explanation:

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Answer:

671080887.616

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which form of molecular motion do liquids experience?
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Answer:

I'm pretty sure that liquid moves by vibration

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Answers

CaCO3(s) + 2HCl(aq) → CaCl2(aq) + H2O(l) + CO2(g)

Given three (3.00) moles of gold (Au), how many grams do you have?

a. 66 g

b. 197 g

C. 591 g

d. 6.02 x 1023 g

Answers

One mol of any element is the elements atomic mass. So you would look on the periodic table to find the atomic mass of gold. Which is 197g. Knowing that that is one mol of gold you would multiply 197 by three to get three mols of gold. Which is 591g. So the answer is c. I hope this helps!!

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A. 0°C
B. 50°C
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D. 100°C

Answers

Answer:

D) 100*C

Explanation:

Answer:

A. 0°C

Explanation:

El agua se evapora a los 0 grados


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Answers

Answer:

406m/s

Explanation:

Speed = distance ÷ time

Answer:

406 m/s

Explanation:

Divide 325,000 meters by 800 and 800 seconds by 800 (because we are trying to find the speed in meters per second.

325,000÷800 = 406.25 meters

800÷800 = 1 second

≈ 406 m/s

how many atoms of helium are required to equalise the
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Answers

The atoms of helium are required to equalize the mass of a silver atom is 8.4 x 10 ⁻⁴⁸.

What are atoms?

Atoms are the minute particles that are present inside elements.

Atomic mass of silver is 107.86 g/mol

Mass of one atom of silver will be

[tex]\dfrac{ 107.86 }{6.022 \times 10^{-23}} = 1.79 \times 10^2^4[/tex]

Atomic mass of helium is 6.941

[tex]\dfrac{6.022 \times 10^{-23}}{4.0 \times 1.79 \times 10^2^4 } = 8.4 \times 10^{-48}[/tex]

Thus, the atoms of helium are required to equalize the mass of a silver atom is 8.4 x 10 ⁻⁴⁸.

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does liquid evaporate with adding heat or losing it

Answers

adding because evaporation speed is increased with increased temperature

please help... will give brainiest

Answers

Answer:

The answer will be :

In year 1869

Russian scientist named Dmitri Mendeleev

Chart called Mendeeleves periodic table

increasing atomic masses

physical and chemical properties.

Hope this Helps

Best of luck !!

20.What do carbon and silicon have in common?

a.They belong to the same column (family), therefore they have the same number of valence electrons.
b.They belong to the same column (family), therefore they have the same number of total electrons.
c.They belong to the same column (family), therefore they have the same number of energy levels.
d.They belong to the same column (family), therefore they have the samenumber of protons.

Answers

The carbon and silicon have in common that they belong to the same column (family), therefore they have the same number of total electrons. So, option B is correct.

What do carbon and silicon have in common?

Carbon's closest analogue is silicon. Silicon and carbon are both tetravalent atoms that primarily form covalent (non-ionic) compounds. However, aside from the fact that both elements "can form four covalent bonds," there is surprisingly little in common between them.

Carbon has an atomic number of 6 and an electronic configuration of 2, 4. Silicon has an atomic number of 14 and an electronic configuration of 2, 8, 4. Because both elements have the same number of valence electrons, they are classified as being in the same group.

Thus, option B is correct.

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Oxygen has 8 positively charged protons what is the number of negatively charged electrons in an atom of oxygen?

Answers

Answer:

8 electrons (e-)

Explanation:

In the atom of every elements, there are three sub-atomic particles namely: protons, electrons, and neutrons. The protons are the positively charged particles, the electrons are negatively charged while the neutrons are neutrally charged.

In an uncharged or neutral atom i.e. charge 0, the number of protons is always equal to the number of electrons because they cancel each other out. When a difference occurs in the number of these particles, the atom becomes charged i.e. an ion. According to this question, oxygen atom (O) contains 8 positively charged protons, this means that it also contains 8 negatively charged electrons in its atom.


10. Johnny pushed a wheel borrow that was 50kg, if the net force on the
wheel borrow is 15N east, what is the wheel borrows acceleration?

Answers

If you look at this question you can use the formula F/M= acceleration. The force over here is 15N and the mass is 50Kg. 15/50 is 0.3m/s^2. I hope that’s correct:)

What are the elements in group two called

Answers

Answer: Alkaline-earth metal, any of the six chemical elements that comprise Group 2 (IIa) of the periodic table. The elements are beryllium (Be), magnesium (Mg), calcium (Ca), strontium (Sr), barium (Ba), and radium (Ra). Hopefully i helped

Explanation:

Answer: Alkaline-earth metal

Explanation:


1. Which of the following seismic waves is detected first by the seismograph?
A L-waves B P-waves
CR-waves D.S-waves​

Answers

Answer:

AL- waves

Explanation:

because it is famousable

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