9. a soap bubble is 100 nm thick and illuminated by white light incident perpendicular to its surface. what wavelength and color of visible light is most constructively reflected, assuming the same index of refraction as water?

Answers

Answer 1

When a soap bubble 100 nm thick and illuminated by white light incident perpendicular to its surface, then wavelength, λ is calculated =  5.32 *10^-7 m.

What is index of refraction?

The ratio of the speed of light in a vacuum, c, to the speed of light in a medium, c' is called as index of refraction. One of the consequence of this difference in speed is that when light goes from one medium to another at an angle, then the propagation vector in the new medium has a different angle with respect to normal.

Given, t= 100nm= 100 * 10 ^-9  n= 1.33

ΔФ1 = λ/4

ΔФ2 = 2√2 t λ n/2 λ

=2 t n

=2 * 100 * 10 ^-9 * 1.33

= 2.66 *10^-7

2.66 *10^-7= λ/2

λ=  5.32 *10^-7 m.

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Related Questions

a typical tendon has a strength of 16000 pounds per square inch (psi). let's assume the achilles tendon is roughly rectangular in cross section with dimension of .4 inches x .2 inches. you can use this to calculate the force at which the achilles tendon will start to fail. at what force might the achilles tendon start to fail (in pounds, lb)?

Answers

An average tendon can withstand 16000 per square inch of force (psi). The Achilles tendon may begin to fail at a force of F = 1280 pounds.

How does science define force?

That meaning of the term "force" is obvious. At this point, it is quite acceptable to refer to a force as a push or possibly a pull. An item does not "have energy in it" or "encompass energy." A force is applied to one thing by another. A factor is anything that affects non-living things as well.

Inertia or a force?

Inertia is what holds the cosmos together. Literally. That could prevent matter from having the electric forces necessary to produce its system layout. Vibrating particles generate heat and rotational motion, which operate to counteract inertia.

Briefing:

Area of tendon 0.4×0.2

=0.08 square inch.

0.08 square inch tendon =16000×0.08

F =1280 pound.

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what is the effective spring constant k of the two-spring system? express the effective spring constant in terms of k 1 and k 2 .

Answers

The Effective Spring Constant is [tex](\frac{k1k2}{k1 + k2} )[/tex] for a system of 2 springs with spring constant k1 and k2.

What is Spring Constant ?

The term "spring constant" refers to the proportional constant k. It gauges the stiffness of the spring. A spring exerts a force F = -kx in the direction of its equilibrium position when it is stretched or compressed to a length that differs by an amount x from its equilibrium length.

Spring constants are available in plural (physics) a quality of a spring that is determined by the force acting on the spring to the displacement it produces.

K stands for the proportionality constant, commonly referred to as the "spring constant." In layman's words, stiffness and strength are shown by the k variable in Hooke's law (F = -kx). An item requires more force to be stretched to a specific length the greater the value of k.

Let the force actiong be F N

then , if k1 is the spring constant of spring 1

F = x1 * k1

or, x1 = F/k1.

Similarly for spring 2

x2 = F/k2

Now x1 + x2 = F (1/k1 + 1/k2)

or effective displacement

X= [tex]F(\frac{1}{k1} + \frac{1}{k2} )[/tex]

or, F = [tex]X * (\frac{k1k2}{k1 + k2} )[/tex]

So the Effective Spring Constant is [tex](\frac{k1k2}{k1 + k2} )[/tex].

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A robot that is exploring the surface of Mars has a mass of 136 kg. If the gravitational force acting on the robot is 504.6 N downward, what is the free-fall acceleration on Mars?

Answers

The free-fall acceleration on Mars is 3.71 m/s²

What do you mean by free fall?A body is said to be in freefall when it only moves in relation to the Earth's gravity. An external force exerted on the ball will cause its motion to accelerate. Gravitational acceleration is another name for this rate of free fall.According to Newton's second law of motion, force (F) = mass (m) times acceleration, an item in free fall will move with an acceleration (a). We can use a little mathematics to determine the object's acceleration in terms of the net external force and the object's mass (a = F / m).

Given :

gravitational force acting on the robot is 504.6 N

F= 504.6 N

mass of the robot  = 136 kg

a = F/ m

= 504.6/ 136 =3.71 m/s²

The free-fall acceleration on Mars is 3.71 m/s²

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Which of the following identifies a treatment method developed after the discovery of germ theory?
O Perform a bloodletting procedure.
O Recommend frequent hand washing.
O Induce the patient to vomit.
O Treat the infection with an antibiotic.

Answers

Recommend frequent hand washing are the treatment method developed after the discovery of germ theory.

What is the importance and benefits of proper handwashing?Handwashing reduces the spread of contagious diseases: Contaminated hands can transmit a variety of contagious illnesses from one person to another. These illnesses include respiratory infections like the flu, colds, and coronavirus (COVID-19), as well as gastrointestinal infections like salmonellosis.The simplest and most reliable approach we all have to stop the transmission of illnesses spread through touch is to practise good hygiene. Our hands are home to more than 150 different types of germs. Additionally, compared to men, women's hands often have more germs on them.Thus, eliminating germs by handwashing aids in the prevention of diarrhoea, respiratory infections, and maybe even skin and eye diseases.

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Newton's third law states that any action will have a(n) _______ and ______ reaction.

Answers

Newton's third law states that any action will have a(n) equal and opposite reaction.

perceiving the color, motion, and form of a bird in flight illustrates a. parallel processing. %. opponent-process theory. q. trichromatic theory. d. serial processing. place theory.

Answers

parallel processing perceiving the color, motion, and form of a bird in flight illustrates.

Option a is correct.

The trichromatic hypothesis of colour perception is what?

According to the trichromatic theory, our ability to perceive red, green, and blue hues as well as how they affect our cerebral activity are both explained by cones (Like a projection T.V.). Consequently, the precise colour we see is determined by the proportion of each colour to the others.

What foundation does trichromatic theory have?

The three kinds of cone receptors that are responsible for colour vision are the foundation of the trichromatic hypothesis of colour vision. Beginning in the 18th century, this hypothesis has a very long history.

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a 23-month-old child pulls a pan of hot water off the stove and spills it onto her chest and arms. her mother is right there when it happens. what should the mother do immediately?

Answers

When it happens mother should have to do cool the burn with tap water for 10 to 20 minutes immediately.

What are the steps to give first aid to a person with a large burn?

Stop the burning process. Cool the burn. Supply pain relief.

Before the arrival of qualified emergency help, you should:

Remove restrictive items such as rings, watches, and bracelets.Use a fresh, cool bandage that is moist to cover the burnt area.Raise your hand so that it is higher than your heart.Is burning from boiling water serious?

Pain and skin injury from wet heat or vapors can result from hot water scalding. Because the damaged tissues and cells are destroyed, this kind of burn can be deadly. The heat could even cause your body to go into shock. These burns can be fatal in more severe circumstances.

What should I do right away if I am burned?

Cool the burn.

Place the affected area under cool (not cold) flowing water for about 10 minutes. Until the pain goes away, apply a cool, wet cloth to the burned area of the face. If you have a mouth burn from hot food or drink, place a piece of ice in your mouth for a while.

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