The drawing shows a horizontal ray of white light incident perpendicularly on the vertical face of a prism made of crown glass. The ray enters the prism, and part of the light undergoes refraction at the slanted face and emerges into the surrounding material. The rest of the light is totally internally reflected and exits through the horizontal base of the prism. The colors of light that emerge from the slanted face of the prism may be chosen by altering the index of refraction of the material surrounding the prism. Find the required index of refraction of the surrounding material so that (a) only red light and (b) all colors except violet emerge from the slanted face of the prism. Take n

Answers

Answer 1

Answer:

The answer is "1.0748 and 1.0875".

Explanation:

Please find the complete question in the attachment file.

The incidence angle is [tex]i=45^{\circ}[/tex] for all colors When the angle is r, then use [tex]\frac{\sin{i}}{\sin{r}}=\frac{n_{o}}{n}[/tex] . Snell's rule Where [tex]n_{o}[/tex] is an outside material reflectance (same hue index) or n seems to be the crown glass index of the refraction, That index of inclination is [tex]90^{\circ}[/tex] as the light in color shifted behaver from complete inner diffraction to diffraction.

Whenever the external channel has a thermal conductivity for the red light, that's also

[tex]n_{o}=\frac{n_{r}\sin{45^{\circ}}}{\sin{90^{\circ}}}=\frac{1.520\times\sin{45^{\circ}}}{\sin{90^{\circ}}}=1.0748[/tex]

When outside the material has a refractive index, this happens with violet light.

[tex]n_{o}=\frac{n_{r}\sin{45^{\circ}}}{\sin{90^{\circ}}}=\frac{1.538\times\sin{45^{\circ}}}{\sin{90^{\circ}}}=1.0875[/tex]

In point a, The only red light flows out from the leaned face and the residual colors are mirrored mostly on prism for the primary benefits [tex]n_{o}=1.0748[/tex] (and slightly larger than that).

In point b, The only violet light is shown in the prism with the majority of the colors coming out from the sloping face for a scale similar to [tex]n_{o}= 1.0875[/tex] (and slightly smaller than this).


Related Questions

A magnifying glass has a converging lens of focal length of 13.8 cm. At what distance from a nickel should you hold this lens to get an Image with a magnification of +2.37?
cm

Answers

Answer:

19.6 cm.

Explanation:

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

Focal length (f) = 13.8 cm

Magnification (M) = +2.37

Object distance (u) =.?

Next, we shall determine the image distance. This can be obtained as follow:

Magnification (M) = +2.37

Object distance (u) = u

Image distance (v) =?

M = v / u

2.37 = v / u

Cross multiply

v = 2.37 × u

v = 2.37u

Finally, we shall determine the object distance. This can be obtained as follow:

Focal length (f) = 13.8 cm

Image distance (v) = 2.37u

Object distance (u) =.?

1/v + 1/u = 1/f

vu / v + u = f

2.37u × u / 2.37u + u = 13.8

2.37u² / 3.37u = 13.8

Cross multiply

2.37u² = 3.37u × 13.8

2.37u² = 46.506u

Divide both side by u

2.37u² / u = 46.506u / u

2.37u = 46.506

Divide both side by 2.37

u = 46.506 / 2.37

u = 19.6 cm

Thus, the lens should be held at a distance of 19.6 cm.

According to Newton's first law of motion when will an object at rest begin to move

Answers

Answer:

When acted upon by a force.

Explanation:

"If a body is at rest or moving at a constant speed in a straight line, it will remain at rest or keep moving in a straight line at constant speed unless it is acted upon by a force."

A ball is launched with an initial horizontal velocity of 10.0 meters per second. It takes 500 milliseconds for the ball to reach its maximum height.

Answers

Answer:

maximum horizontal distance = 10m

initial vertical velocity of the ball = 4.9m/s

Explanation:

Complete question

A ball is launched with an initial horizontal velocity of 10.0 meters per second. It takes 500 milliseconds for the ball to reach its maximum height.

Determine the maximum horizontal distance that the ball will travel.

Calculate the initial vertical velocity of the ball.

Maximum horizontal distance x is expressed as;

x = vT

T is total time of flight

T = 2t

Hence x = 2vt

v is the velocity

t is the time

Given

v = 10.0m/s

time t = 500ms = 0.5s

Horizontal distance = 2 * 10 * 0.5

Horizontal distance = 20 * 0.5

Horizontal distance = 10m

Hence the maximum horizontal distance that the ball will travel is 10m

To get the initial horizontal distance, we will use the equation of motion

v = u - gt

T maximum height, v = 0

Substitute

0 = u - 9.8(0.5)

-u = - 4.9

u = 4.9m/s

Hence the  initial vertical velocity of the ball is 4.9m/s

phase difference formula

Answers

Answer:

Δx is the path difference between the two waves.

...

Phase Difference And Path Difference Equation.

Formula Unit

Phase Difference \Delta \phi=\frac{2\pi\Delta x}{\lambda } Radian or degree

Path Difference \Delta x=\frac{\lambda }{2\pi }\Delta \phi meter

For a mass hanging from a spring, the maximum displacement the spring is stretched or compressed from its equilibrium position is its

Answers

Answer: The maximum displacement the spring is stretched or compressed from its equilibrium position is its AMPLITUDE.

Explanation:

In simple harmonic motion, the restoring force which pulls the oscillating body back towards its rest position is proportional in magnitude to the displacement of the body from the rest position.

The simple harmonic motion in terms of MASS AND SPRING, simple pendulum and loaded test tube is the motion or movement of a particle in a to and fro movement along a straight line under the influence of force.

Mass and spring: This means when a string of suspended mass, M, with initial level of the spring is at rest, the spring will start moving upward and downward due to the imbalance of the suspended mass.

The maximum displacement as the spring is stretched or compressed from its equilibrium position is its AMPLITUDE. This is measured in units of meter.

how long would it take a leopard, running at an average speed of 20 m/s to travel 500 m?

Answers

Answer:

25 seconds

Explanation:

500/20

Is this right. Please help me ITS SOCIOLOGY

Answers

Answer:

Yes

Explanation:

sorry if im wrong

Atmospheric pressure on the peak of Mt. Everest can be as low as 0.197 atm, which is why
climbers need to bring oxygen tanks for the last part of the climb. If the climbers carry 10.0
liter tanks with an internal gas pressure of 40 atm, what will be the volume in liters of the gas
when it is released from the tanks?

Answers

Answer:2,030

Explanation:

40 atm x 10.0 L = 400

400/0.197 atm = 2,030

Question 2

Any electricity charged object creates an electric field. Walking across carpet in wool socks can create an electric charge. This

observation is evidence for which characteristics of electrical forces?

They generate electricity by contact.

They can be generated by electricity.

OOO

They can exert a force across a distance.

They are moving due to magnetism.

Answers

Answer:

They generate electricity by contact.

Explanation:

The observation presented by the question above shows an example of electricity generated by the contact, which can also be called triboelectrification. This type of electricity is created when two objects made of different materials come into contact with each other, and that contact is interrupted soon afterwards, as occurs when someone, wearing woolen socks, walks over the carpet.

For triboelectrification to occur, it is necessary that at least one of the objects involved is electrically charged. This object, when in contact with another object, will transfer electrons carrying the neutral object, until the two objects have the same electrical potential. When interrupting the contact between the objects, the two are left with equal loads of energy.

Which best describes vibration?
0
the distance traveled per unit in time
the action of moving back and forth quickly and steadily
the distance between one compression and the compression next to it
the action of moving through a material or substance
which best describes vibration

Answers

Answer:

the distance between one compression and the compression next to it

Explanation:

Answer:

The one above this wrong.

The correct answer is b. The action of moving back and forth quickly and steadily

Explanation:

In context of nepal it is better to use energy like solar power .why?

Answers

Answer:

Nepal is one of the least developed countries. Solar power is well-founded than electricity. It's better to use solar power because it's a clean resource, the sun provides more energy than we will ever need.

Explanation:

A pumpkin is thrown horizontally off of a building at a speed of 2.5 — and travels a horizontal distance of

12 m before hitting the ground. We can ignore air resistance.

What is the vertical velocity when it hits the ground

Answers

Answer:

Explanation:

This is a missile throwing exercise, let's find the distance

         x = v₀ₓ / t

         t = v₀ₓ / x

let's calculate

         t = 2.5 / 12

         t = 0.2083 s

as time is a scalar this is the same value for descends to the ground

         y = v_{oy} t  - 1/2 g t²    

we calculate

         v_y = 0 - 9.8 0,2083  

         v_y = - 2.04 m / s

the negative sign indicates that the speed is down

A pumpkin is thrown horizontally off of a building at a speed of 2.5 m/s and travels a horizontal distance of 12 m before hitting the ground. We can ignore air resistance.

What is the pumpkin's vertical velocity when it hits the ground?

Answer: -47.04

What percentage of the starting matter in our solar system went into the formation of our sun?

Answers

Answer:

Eventually the pressure in the core was so great that hydrogen atoms began to combine and form helium, releasing a tremendous amount of energy. With that, our Sun was born, and it eventually amassed more than 99 percent of the available matter

What happens to a digital signal sent using electromagnetic waves as it travels farther from its source?
A. The signal becomes weaker and more difficult to detect
B. The signal slows down and becomes distorted
C. The signal needs to be amplified before it can be detected
D. The digital signal changes to an analog signal.​

Answers

Answer:

did you find the answer please answer back

Answer:a

Explanation:ap ex verified

Explain why, in terms of forces, there is a risk of head injury when diving from this height. Suggest why the high divers would choose to enter the water feet first.

Answers

Answer:

Due to lower risk of injury or damage.

Explanation:

The high divers would choose to enter the water from the feet first because there is low risk of injury. The brain is the most important part of the body which very sensitive to any small injury. Small injury to brain leads to big problems in life. High divers can reach speeds of nearly 60 mph and enters about 28m into the water in about three seconds which can damage the head region if comes in contact with the ground so this is the reason the high divers avoid of entering in the water through their heads and choose entering through their feet.

Please help me if you can.
I can't figure out how the answer for number 30 is C and 31 is C. My question is how did they get that answer?

Answers

Answer:

30. $3.85

31. $2.22

Explanation:

30. The time duration of the kitchen clock is left on = All day = 24 hours

The power rating of the kitchen clock, P = 4 watts

The electricity cost in Alberta, R = $0.11 per kilowatt hour

The total number of hours the kitchen clock is on during the year, 't', is given as follows;

t = Number of hours per day × Number of days per year

∴ t = 24 hours/day × 365 days/year = 8,760 hours

The energy consumption of the kitchen clock, per year, E = P × t

∴ E = 4 watts × 8,760 hours = 35,040 watts-hour = 35.040 kw·h

The cost of operating the clock in one year, C = E × R

∴ Operating cost for the kitchen clock

∴ C = 35.040 kw·h × $0.11/(kw·h) = $3.8544 ≈ $3.85

The cost of operating the clock in one year, C ≈ $3.85

31. The power rating of the ghetto blaster, P = 28 watts

The time duration the ghetto blaster was on during an average month = All day = 24 hours

The number of days during an average month, n = 30 days

The cost of electricity in Alberta, R = $0.11 per kilowatt hour

The time in hours the ghetto blaster was on, t = 30 days/month × 24 hours/day

∴ t = 720 hours per month

The cost of operating the ghetto blaster in one month, C = P × t × R

∴ C = 28 W × 720 hours × 1 kw·h/(1000 w·h)× $0.11/(kw·h) = $2.2176

∴ The cost of operating the ghetto blaster in one month, C ≈ $2.22

What is one way that testing helpes scientists determing which solution for a problem works best?

Answers

testing then fixing the mistakes

Which of the following is an example of improving communication skills?

Answers

The question is incomplete as it does not provide options to choose from or any context. instead of this, I will explain how to improve communication skills. improving communication skills takes practice, self-awareness, and a willingness to learn and grow. By focusing on these key areas, you can improve your ability to communicate effectively with others in a variety of settings.

What is communication skill?

Communication skills refer to the ability to convey information effectively and efficiently to others, both verbally and non-verbally. Effective communication involves active listening, clarity of expression, and an understanding of the message being conveyed.

There are several ways to improve communication skills, including:

Practice: Communication skills can be improved through regular practice. Look for opportunities to communicate with others, and take the time to reflect on your communication style and how you can improve.

Active listening: Effective communication requires active listening skills. Pay attention to what others are saying and ask questions to clarify your understanding.

Nonverbal communication: Nonverbal cues such as body language, eye contact, and facial expressions can convey important messages. Practice being aware of and controlling your own nonverbal cues to enhance your communication skills.

Clarity of expression: Clearly expressing your ideas and thoughts is essential for effective communication. Practice organizing your thoughts and speaking clearly and concisely.

Empathy: Being able to put yourself in someone else's shoes and understand their perspective is an essential communication skill. Practice showing empathy by actively listening and acknowledging the other person's feelings.

Feedback: Seek feedback from others on your communication skills. This can help you identify areas for improvement and refine your communication style.

Therefore, It takes time, effort, self-awareness, and a commitment to learn and develop new abilities to improve communication. You can enhance your capacity to interact successfully with others in a range of circumstances by concentrating on five important areas.

To learn more about the difference between Communication

and Communication skills click:

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A force of 355 N is applied to an object that accelerates at a rate of 7.8 m/sec2 . What is the mass of the object ?

Answers

Answer:

A force of 355 N is applied to an object that accelerates at a rate of 7.8 m/sec2 . What is the mass of the object ?

Explanation:

When the volume of the gas is reduced, what change in property would be the most reasonable to expect?

Answers

Answer:

Two possibities: Increase in pressure or decrease in temperature.

Explanation:

There are two possibilities under the assumption that mass of the gas is conserved and, consquently, the amount of moles is also conserved, a reduction in the volume of the gas leads to an increase in pressure (Boyle's Law) and a decrease in temperature (Gay-Lussac's Law)

Question 16 (1 point)

Light travels through a material at a speed of 4.3 x 108 m/s. What is the index of

refraction for the material?

Your Answer:

Answer

units

Answers

Answer:

η = 0.7

Explanation:

The refractive index of the material can be calculated by using the following formula:

[tex]\eta = \frac{c}{v}\\[/tex]

where,

η = refractive index of the material = ?

c = speedof light in vaccuum = 3 x 10⁸ m/s

v = speed of light in this material = 4.3 x 10⁸ m/s

Therefore,

[tex]\eta = \frac{3\ x\ 10^8\ m/s}{4.3\ x\ 10^8\ m/s}[/tex]

η = 0.7

What statement about energy transfer in a wave is true?

Answers

Answer:

Energy moves between the particle of the medium.

Explanation:

How are wavelength, pitch, frequency, and energy all related?

Answers

Answer:

he word that musicians use for frequency is pitch. The shorter the wavelength, the higher the frequency, and the higher the pitch, of the sound. In other words, short waves sound high; long waves sound low. ... In other words, it sounds higher

Explanation:

what is a hydraulic system​

Answers

Explanation:

Hydraulic systems use the pump to push hydraulic fluid through the system to create fluid power. The fluid passes through the valves and flows to the cylinder where the hydraulic energy converts back into mechanical energy. The valves help to direct the flow of the liquid and relieve pressure when needed

PLEASE HELP ME I AM TIMED!

Answers

Answer: B

Explanation: I can tell the block weights more since the water went down

A football thrown by a professional quarterback goes farther than one thrown by a 10-year old. What Newton Law is this?

Answers

Answer:

2nd law of motion

Explanation:

Answer:

Newton's 2nd Law of Motion

Explanation:

The amount of force needed to make an object change its acceleration depends on the mass of the object. In other words, the amount of force thrown by a professional quarter-back has more acceleration from his mass.

Which describes an image that a concave mirror can make? Which describes an image that a concave mirror can make?

Answer: The image can be either virtual or real.

Answers

Answer:

the image can be rather real or virtual

Gravity attracts an object to
A.
Earth's magnetic poles
B.
Earth's surface
C.
Earth's equator
D.
Earth's center

Answers

Answer:

D

Explanation:

Which person below is likely to have better health?
A. Jenna, who is optimistic about life
B. Albert, who thinks that events in his life are not in his control
C. Peter, who is depressed
D. Claire, who blames everyone else for her circumstances
SUBMIT

Answers

A. Jenna because an optimistic person always has a healthier look in life!

Jenna, who is optimistic about life, is likely to have better health. Hence, option (A) is correct.

What is mental health?

Mental health affects cognition, perception, and behavior and includes emotional, psychological, and social well-being. It also affects how someone responds to stress, interacts with others, and makes decisions.

Subjective well-being, perceived self-efficacy, autonomy, competence, generational reliance, and self-actualization of one's intellectual and emotional potential are only a few examples of what is considered to be mental health.

The ability to enjoy life and strike a balance between daily activities and endeavors to develop psychological resilience may be considered a sign of mental health from the viewpoints of positive psychology or holistic approaches.

Learn more about mental health here:

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How many neutrons are in the nucleus of an atom with an atomic mass of 80 A.M.U. and an atomic number of 35?

Answers

Answer:

45

Explanation:

The mass number is 80

Proton number is 35

A-P=n

80-35=45

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