If the oil film becomes dark when the path length difference is less than one fourth the wavelength, what is the thickest the oil film can be and appear dark at all visible wavelengths

Answers

Answer 1

His question is incomplete, the complete question is;

A film oil on water will appear dark when it is very thin, because the path length difference becomes small compared with the wavelength of light and there is a phase shift at the top surface.

If the oil film becomes dark when the path length difference is less than one fourth the wavelength, what is the thickest the oil film can be and appear dark at all visible wavelengths. Oil has an index of fraction of 1.40.

In this question, assume the wavelength visible light is in the range of 400 nm to 700 nm.

Answer:

the minimum thickness of the oil for destructive interference to occur is approximately 35.714 nm

Explanation:

Given the data in the question;

Path difference for destructive interference between the two reflected waves ( top and bottom );

δ = 2nt ---------- let this be equation 1

Also, for one path difference of reflected waves, one fourth of the wavelength of reflected waves;

δ = λ/4 ---------- let this be equation 2

from equation 1 and 2;

δ = δ

2nt =  λ/4

we find t;

8nt =  λ

t = λ / 8n

given that; λ[tex]_{minimum[/tex] = 400 nm and n = 1.40

we substitute

t = 400nm / 8(1.40)

t = 400nm / 11.2

t = 35.7142857 ≈ 35.714 nm

Therefore, the minimum thickness of the oil for destructive interference to occur is approximately 35.714 nm


Related Questions

Do metals that react vigorously with hydrochloride acid also react vigorously with sulfuric acid?

Answers

Answer:

yes

Explanation:

Reactions of acids with metals

Acids react with most metals and, when they do, a salt is produced. But unlike the reaction between acids and bases, we do not get water. Instead we get hydrogen gas.

This is the general word equation for the reaction:

metal + acid → salt + hydrogen

For example, magnesium reacts with hydrochloric acid to produce magnesium chloride:

magnesium + hydrochloric acid → magnesium chloride + hydrogen

Mg + 2HCl → MgCl2 + H2

It doesn't matter which metal or which acid is used, if there is a reaction we always get hydrogen gas as well as the salt. However, how quickly the reaction goes depends on the metal used and how high up in the reactivity series it is.

PLS ANSWER QUICK I HAVE A COUPLE MINUTES.

An object moves through space with balanced forces acting on it. Which statement
best describes the speed and direction of the object as long as the forces acting on it
remain balanced?


A. The speed and direction of the object will both change.

B. The speed and direction of the object will remain constanti

C. The speed will change, but the direction will remain constant.

D. The speed will remain constant but the direction will change

Answers

Answer:

B

Explanation:

Newton's first law of motion states that every object will continue in a state of rest or uniform motion in a straight line unless a resultant force acts on it

balanced force means resultant force is 0N

this means that the speed will not change as it uniform and the direction will not change because it will continue at the same speed in a statight line and direction

sorry man, I think it was late

hope this helps

what can electromagnetic and mechanical waves not carry?

Answers

Answer:

Water ;)

Explanation:

have a great rest of your day :)

Plastics are used in millions of objects we use every day. Why are plastics NOT considered natural resources?
A. They are recyclable.
B. They are made by people. C. They are bad for the environment.
D. They are made entirely from nonrenewable resources.

Answers

Answer:

letter C. they are bad for the environment

A student is constructing an investigation on static electricity. The student has three balloons and rubs two of them on a piece of wool. The student then touches each balloon to the wall to observe if static electricity would cause the balloon to stick. What is the independent variable in this investigation.​

Answers

Answer:

Explanation:

As given, the student has three balloons and rubs two of them on a piece of wool. The rubbing of balloon on wool is the independent variable as it was done on two and not on the third as control.

Put these components from largest to smallest

1. comet

2. star

3. galaxy

4. nebula

5. planet

6. universe

Answers

Answer:

6, 3, 2, 5, 4, 1

Explanation:

Let's describe them from smallest to largest. In fact the size order is not exact as there are exceptions.

An asteroid is a rocky body which lies in the asteroid belt between Mars and Jupiter. They are typically quite small object. The largest asteroid Ceres has been reclassified as a dwarf planet.

A moon is typically a rocky body which is in orbit around a planet. Some moons such as our Moon are quite large and are typically bigger than asteroid. Some moons can actually be smaller than some asteroids.

A planet is a nearly spherical body which is in orbit around the Sun. Planets are larger than moons.

A star is what planets orbit around. It is the source of light and heat. Our Sun is a star which is many times bigger than all of the planets.

A solar system is a star and all of its planets, asteroids, comets and other bodies. It is significantly bigger than a star.

A galaxy, such as our Milky Way Galaxy, is a collection of solar systems orbiting around a central core. Most galaxies have a supermassive black hole at their centres.

Galaxies also form clusters which are large scale structures.

The universe is everything. It contains billions of galaxies.


А
man of mass
77kg stands on a
Spring-weighing
Machine
inside a lift
When the lift starts to ascend, its accel-
eration 2 m/s2. what will be reading on.
the machine?

Answers

Explanation:

The reading on the scale is

W = m(g + a)

= (77 kg)(9.8 m/s^2 + 2 m/s^2)

= 908.6 N

ASAP will do brainiest 22 points PLSS HELP
Sports such as football, baseball, soccer, horseback riding, tennis, volleyball, skateboarding, and surfing (to name a few) are full of examples of Newton’s Three Laws of Motion. To answer this question: 1. Choose any sport. Write down the name of the sport. 2. In your own words, state each of Newton’s 3 Laws of Motion and give a clear, specific example of how each law applies to the sport you have chosen.

Answers

Answer:

tenis

Tenis applies to each of Newton's 3 Laws of Motion because with the first law if a tenis ball is at rest it will stay at rest unless acted on by an unbalanced force which would be playing tenis in which it would stay in motion. The second law applies since the acceleration at which it is hit times the mass equals the force it has. The third law applies since when hitting a tenis ball back and forth with racquets the reaction may be equal or opposite

The figure below shows the apparatus used to measure the specific heat capacity of a metal. The electric heater is switched on and supplies 17 000 of thermal energy (heat) to the block of metal. The temperature of the metal rises from 16 °C to 38 °C. The mass of the block of metal is 850 g. No energy is lost from the metal. Calculate the specific heat capacity of the metal.

Answers

Answer:

0.909 J/gºC.

Explanation:

From the question given above, the following data were obtained:

Heat (Q) = 17000 J

Initial temperature (T₁) = 16 °C

Final temperature (T₂) = 38 °C

Mass (M) = 850 g

Specific heat capacity (C) =?

Next, we shall determine the change in the temperature of the metal. This can be obtained as follow:

Initial temperature (T₁) = 16 °C

Final temperature (T₂) = 38 °C

Change in temperature (ΔT)

ΔT = T₂ – T₁

ΔT = 38 – 16

ΔT = 22 °C

Finally, we shall determine the specific heat capacity of the metal. This can be obtained as follow:

Heat (Q) = 17000 J

Change in temperature (ΔT) = 22 °C

Mass (M) = 850 g

Specific heat capacity (C) =?

Q = MCΔT

17000 = 850 × C × 22

17000 = 18700 × C

Divide both side by 18700

C = 17000 / 18700

C = 0.909 J/gºC

Therefore, the specific heat capacity of the metal is 0.909 J/gºC.

What is total internal reflection?​

Answers

Answer:

When a ray of light, passes from a denser to a rarer medium with the angle of incidence greater than the critical angle, the ray is reflected back into the same medium. This phenomenon is call total internal reflection.

5. Which energy transformation would friction
cause on a moving train?
A. kinetic energy into thermal energy
B. potential energy into sound energy
C. kinetic energy into potential energy
D. thermal energy into potential energy

Answers

Answer:

Fossil fuels store energy from the sun as

Explanation:

The diagram shows the electric field near conducting sphere a which of the following statements is correct

Answers

I really don’t know but I hope this helps

how does energy apply to newton’s laws?

Answers

Answer:

the acceleration of an object is directly pro to the net force acting on it and indirectingly proportional to its mass

The graph shows the layers of Earth's atmosphere. Which statement best describes the relationship between temperature and altitude in the atmosphere?
A. The relationship between temperature and altitude is variable and unpredictable.
B. Overall, the temperature of the atmosphere increases with altitude.
C. The relationship between temperature and altitude is different in each zone of the atmosphere.
D. Temperature decreases with altitude until the stratosphere is reached, and then it increases from there.

Answers

Answer:

The best statement which describe this is actually:

D. Temperature decreases with altitude until the stratosphere is reached, and then it increases from there.

Explanation:

From the graph shown, it could be seen that, temperature decrease with height. The higher the height, the lower the temperature. For example, from the graph, when the height was around 50 km, the temperature was within the range of -10⁰C to 0⁰C. On the other hand, when the height increases around 78 km, the temperature decreases to the range of  to -70 ⁰C to -80⁰C

A Star fleet science officer drops a large rock from a height of 1.55 m onto the surface of an alien planet. The rock strikes the ground in 0.230 s. Determine the acceleration of gravity.

Answers

Answer:

58.6 m/s²

Explanation:

Applying,

s = ut+gt²/2............ equation 1

Where s = height of the rock, u = initial velocity, t = time, g = accelration due to gravity of the planet.

From the question,

Given: s = 1.55 m, t = 0.23 s, u = 0 m/s (dropped from an height)

Substitute these values into equation 1

1.55 = (0×0.23)+g(0.23²)/2

1.55 = 0.0529g/2

0.0529g = 3.1

g = 3.1/0.0529

g = 58.6 m/s²

why is it not possible to make use of solar cells to meet all of our energy needs?why​

Answers

Answer:

In the solar cells, the energy is obtained only during the day, when the Sun shines. .So, it increases the cost of using solar panels as the source of energy. So, the solar cell is not used to meet all our energy needs

hope this helps

have a good day :)

Explanation:

Answer:

In the solar cells, the energy is obtained only during the day, when the Sun shines. ... So, it increases the cost of using solar panels as the source of energy. So, the solar cell is not used to meet all our energy needs

Explanation:

n the solar cells, the solar panel convert solar energy into electricity, which is stored in storage battery. The storage battery give the direct current but all the appliances are working by the alternating current, so first of all direct current is converted into alternating current by any suitable appliances before it can be used to run various devices. So it increases the cost of using solar panels as the source of energy. 

Justin mixed two cups of lemon juice and two cups of sugar with a gallon of water in a pitcher. What happened to the lemon juice, sugar, and water?

Answers

Answer:

The correct answer is - Lemon juice hydrolyzes sugar and dissolves it faster and creates a solution.

Explanation:

When mixing lemon juice and sugar in water are mixed together, the lemon juice dissolves the sugar faster as it has citric acid that hydrolyzes sucrose molecules of sugar in glucose and fructose.

This mixing of all three lemon juice, water, and sugar form a solution. Here in this solution, water is solvent, and sugar and lemon juice are solutes. The quantity of all three determined the nature of the solution if it will be acidic or more diluted.

16. A student uses 110 N of force to push a box
across a flat room for 7.2 m. Calculate the
amount of work that the student does. Round
your answer to two decimals and show the
correct units of measure.

Answers

Answer:

792J

Explanation:

Use the formula Force × Distance

With 110 newtons being the force and 7.2 meters being the distance

Which gives 792 and work us measured in joules therefore its joules

Work done is the dot product of force and displacement. The work done on the box to push across the surface for 7.2 m by applying a force of 110 N is 792 J.

What is force?

Force is an external agent acting on a body tp change it from the state of motion or rest.  Force is a vector quantity thus, it is characterized by a magnitude and direction.

When force acting on a body results in displacement of the body, it is said to be work done on the body. The work done on the body is the product of force and displacement.

W = F d.

Given the force acting on the box = 110 N

 displacement d = 7.2 m

Work done w = 110 N × 7.2 m

                       = 792 J.

Therefore, the work done on the box is 792 J.

To find more on work done, refer here:

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A rock is thrown down from the top of a cliff with a velocity of 3.61 m/s (down). The cliff is 28.4 m above the ground. Determine the velocity of the rock just before it hits the ground.

Answers

The velocity of the rock just before it hits the ground is approximately 23.87m/s.

What is the velocity of the rock just before it hits the ground?

From the third equation of motion;

v² = u² + 2gs

Where u is initial velocity, v is final velocity, g is acceleration due to gravity ( g = 9.8m/s² ) and s is distance covered.

Given the data in the question;

Initial velocity u = 3.61m/sHeight of cliff s = 28.4mFinal velocity v = ?

To determine the final velocity, plug the given values into the equation of motion above.

v² = u² + 2gs

v² = ( 3.61m/s )² + ( 2 × 9.8m/s² × 28.4m )

v² = 13.0321m²/s² + 556.64m²/s²

v² = 569.6721m²/s²

v = √( 569.6721m²/s²)

v = 23.87m/s

Therefore, the final velocity of the object is 23.87m/s.

Learn more about Equations of Motion here: brainly.com/question/18486505

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How much kinetic energy is required to break through?

Answers

Explanation:

The natural environment or natural world encompasses all living and non-living things occurring naturally, meaning in this case not artificial. The term is most often applied to the Earth or some parts of Earth

Which statement best explains why there could be a force of attraction
between two electrically charged objects?'
because they have like charges
because they have unlike charges
because they have the same number of protons
because they have the same number of electrons

Answers

Unlike charges cause attraction.
Like charges cause repelling

Force F=5 N acts to the right ​

Answers

Answer:

Calculations involving forces

The resultant force is the single force that has the same effect as two or more forces acting together.

Two forces in the same direction

Two forces that act in the same direction produce a resultant force that is larger than either individual force.

You can easily calculate the resultant force of two forces that act in a straight line in the same direction by adding their sizes together.

Example

Two forces, 3 N and 2 N, act to the right. Calculate the resultant force.

Two arrows, one above the other, both pointing to the right, one labelled 2 N and one labelled 3 N. Then an equals sign and then another arrow to the right labelled 5 N.

Two forces acting in the same direction

Resultant force F = 3 N + 2 N = 5 N to the right.

The resultant force is 5 N to the right.

Two forces in opposite directions

Two forces that act in opposite directions produce a resultant force that is smaller than either individual force.

To find the resultant force subtract the magnitude of the smaller force from the magnitude of the larger force.

The direction of the resultant force is in the same direction as the larger force.

Example

A force of 5 N acts to the right, and a force of 3 N act to the left.

Calculate the resultant force.

Two arrows, one above the other, one pointing to the left, labelled 2 N, the other pointing to the right labelled 3 N. Then an equals sign, with an arrow to the right labelled 1 N.

Two forces acting in opposite directions

Resultant force F

Resultant force F = 5 N - 3 N = 2 N to the right.

The resultant force is 2 N to the right.

Explanation:

Thanks me later

Complex matching suggests that individuals who have formed a relationship may differ predominantly in the area of __________.

Answers

Answer:

physical attractiveness

Explanation:

A __________ is a push or pull.​

Answers

Answer:

force

Explanation:

Force is a push or a pull of an object that causes the object to speed up, slow down, or stay in one place. In other words, a force is what causes an object to move. Friction and gravity are two types of forces that influence how an object moves.

Make a free-body diagram of someone pushing a refrigerator that shows:
a. A net force of 100 N with the refrigerator being pushed to the right.
b. The refrigerator is balanced on the floor.

Answers

The free body diagram allows to find the results for the forces applied on the refrigerator are;

       a) Free-body diagram with applied force.

       b) Free-body diagram without applied force.

A free-body diagram is a diagram of the forces without the details of the body, these diagrams are important to clearly visualize the forces and the coordinate systems against which to take measurements.

In the attached we have a free-body diagrams for a refirerator, represented by the box where the forces are appreciated:

The weight that the forces exerted by the earth on the refrigerator. The Normal which is the reaction of the earth to the support of the refrigerator. The force applied by the person. The friction force which is the force between the two surfaces that opposes the movement of the refrigerator.

Newton's second law states that the net force is proportional to the mass times the acceleration of the body.

             ∑ F = ma

where F is the force, m the mass and the acceleration

          ∑ F = F - fr = 100 N

          a = 100 / m

In conclusion with the free body diagram we can find the results for the forces applied on the refrigerator are;

a) Free-body diagram with applied force.

b) Free-body diagram without applied force.

Learn more about the free-body diagram here:  brainly.com/question/16799228

A 12.0 kg object is stationary on a surface that is inclined 30.0° relative to the horizontal. The coefficient of friction is 0.65. Use a free body diagram to determine the magnitude of the force of static friction on the block.
Help please?

Answers

Answer:

hope you can understand the calculations

I need help please and thanks

Answers

Answer:

4.Given:

m=1000kg

a=(3m/s)^2

F=m×a

=1000×3

=3000N

5.Given:

m=50kg

a=(5m/s)^2

F=m×a

=50×5

=250N

6. Given

F=250N

a=(5m/s)^2

m=?

F=m×a

250N=m×(5m/s)^2

m×(5m/s)^2=250N

m=250N÷(5m/s)^2

m=50kg

What happens to the speed and frequency of a light ray when it passes from glass into water?
The speed decreases and the frequency increases.

The speed decreases and the frequency remains the same.

The speed increases and the frequency increases.

The speed increases and the frequency remains the same.

Answers

Answer:

The speed decreases and the frequency remains the same.

Explanation:

Had it for a castle learning assignment, guessed and got it correct.

The speed of a light ray decreases and its frequency remains the same when it passes from glass into water.

What is the speed of light?

The speed of light, also known as the velocity of light, is a fundamental constant of nature and is one of the most well-known physical quantities. It is defined as the speed at which electromagnetic radiation (light) travels through a vacuum, which has a constant value of 299,792,458 meters per second (m/s).

This speed is considered to be the fastest that anything can travel in the universe, and it is a critical component in many physical and biological processes. The speed of light is used in a wide range of scientific and technological fields, including optics, electronics, astronomy, and quantum mechanics. It is considered to be a universal constant and does not change with time, distance, or the medium through which it travels.

Learn more about light ray, here:

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For the mirror configuration below, the angle of incidence for the going towards the mirror on the right is 15 degrees. What is the angle of reflection for the light ray leaving the mirror on the bottom

Answers

Answer:

Thus, the angle of reflection is 15 degrees.

Explanation:

Angle of incidence, i = 15 degrees

The angle of incidence is the angle between the normal to the mirror and the incident ray, the angle of reflection is the angle between the reflected ray and the normal to the mirror.

According to the laws of reflection, the angle of incidence is equal to the angle of reflection.

Thus, the angle of reflection = angle of incidence = 15 degrees

a volleyball player has spiked the ball. At the instant the ball leaves her hand, it is 2.6 m above the ground and has an initial vertical velocity of -20 m/s. How long will it take the ball to strike the ground if the opposing team doesn't block it?

Answers

Answer: 29.48 s

Explanation:

Given

The initial height of the ball is [tex]h=2.6\ m[/tex]

The ball leaves with an initial velocity of [tex]u=-20\ m/s[/tex]

Using the equation of motion

[tex]h=ut+\dfrac{1}{2}at^2\\\text{Insert the values}\\\\2.6=20\cdot t+\dfrac{1}{2}\times 9.8\times t^2\\\\\Rightarrow 9.8t^2+20t-5.2\\\\\Rightarrow t=\dfrac{-20\pm \sqrt{20^2-4\times 9.8\times (-5.2)}}{2\times 9.8}\\\\\Rightarrow t=\dfrac{-20\pm 603.84}{19.8}\\\\\Rightarrow t=29.48\ s\quad [\text{Neglecting negative t}][/tex]

Therefore, it take 29.48 s for ball to reach the ground.

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