A fiber-optic rod consists of a central strand of material surrounded by an outer coating. the interior portion of the rod has an index of refraction of 1.55. if all rays striking the interior walls of the rod with incident angles greater than 59.5° are subject to total internal reflection, what is the index of refraction of the coating?

Answers

Answer 1

Answer:

the index of refraction of the coating is 1.33  

Explanation:

Given the data in the question;

refraction index of  interior portion of the rod η[tex]_{interior[/tex] = 1.55

angle of incidence θ[tex]_i[/tex] = 59.5°

From Snell's law, we know that;

η[tex]_{interior[/tex] × sinθ[tex]_i[/tex]  = η[tex]_{coating[/tex] × sinθ[tex]_r[/tex]

where η[tex]_{interior[/tex]  is the index of refraction of the rod ( material 1 )

θ[tex]_i[/tex]  is the angle of incidence

η[tex]_{coating[/tex] is the index of refraction in outer coating ( material 2 )

θ[tex]_r[/tex] is the angle of refraction

so we substitute our values into the equation;

η[tex]_{interior[/tex] × sinθ[tex]_i[/tex]  = η[tex]_{coating[/tex] × sinθ[tex]_r[/tex]

1.55 × sin( 59.5° )  = η[tex]_{coating[/tex] × sin( 90° )

1.55 × 0.861629  = η[tex]_{coating[/tex] × 1

1.3355 = η[tex]_{coating[/tex] × 1

η[tex]_{coating[/tex] = 1.33   { 2 decimal places }

Therefore, the index of refraction of the coating is 1.33  


Related Questions

If you increase the amount of spinach you eat, then you will increase the iron in your blood. What's the dependent variable?

Answers

The dependent variable is the iron in your blood because it depends on the amount of spinach you eat. The independent variable will be the amount of spinach you eat since it doesn’t depend on the iron for anything.

The quantity of iron in your blood is the dependent variable because it is influenced by how much spinach you consume. The amount of spinach you consume will act as the independent variable because it doesn't require iron in any way.

What is the dependent variable?

A dependent variable is one whose values can be determined by testing in a scientific experiment. It is clear that the dependent variable depends on the independent variable. While a result, we can now see and note changes in the dependent variable as the experimenter modifies the independent variable.

Given:

Increase the amount of spinach you eat, then you will increase the iron in your blood,

Write the equation for the above phrase as shown below,

The amount of iron = variable  × the amount of spinach

y = ax

here, y is The amount of iron and x is the amount of spinach

Thus,  the dependent variable is the quantity of iron.

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A 10kg box accelerates forward at a rate of 12 m/s^2. What is the force acting on the box?
120N
N8'0
ON

Answers

Answer:

120N

Explanation:

Newton's second law formula: F= ma

given that m = 10 kg, a = 12 m/s^2

F = ma = 10 kg * 12 m/s^2 = 120 kgm/s^2 = 120 N

The force acting on the box is equal to 120N. Therefore, option (A) is correct.

What is Newton's second law of motion?

According to Newton's 2nd law of motion, The force acting on an object is equal to mass times the acceleration of that object.

This law tells that the acceleration of a moving body depends upon two variables in which one is the mass of the object which is constant while the other is the force acting on that object. The acceleration of an object increases as the mass of the object is less.

The mathematical equation of the second law of motion can be written as:

F = ma

Given, the mass of the box, m = 10 Kg

The acceleration of the box, a = 12m/s²

We can find the force acting on the box by putting the values a and m:

Force acting on the box, F = 10 ×12 = 120 N

Therefore, the force acting on the box is equal to 120 newtons.

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what is 2 plus 2 and 1 plus 1​

Answers

Answer: 6

Explanation:

Have an awesome amazing day

Answer:

2 plus 2 = 4 AND 1 plus 1 = 2

Explanation:

I guess combine both equations if your detailed instructions allow.

Two forces each of magnitude 25N acts in opposite direction at the opposite end of a circular ring. If the diameter at the ring is 65cm. Calculate the magnitude of the couple acting on the ring​.

Answers

Answer:

The magnitude of the couple is 16.25 Nm.

Explanation:

A couple is a force that always produce a turning effect of objects on which it is applied. It has applications in doors, taps, revolving doors etc. Couple is a two equal but opposite force applied on an object.

couple = force x length

From the given question, the couple acting on the ring can be determined as;

couple = 25 x 0.65

           = 16.25 Nm

The magnitude of the couple is 16.25 Nm.

If a 50 kg person is running at a rate of 2 m/s, the person’s momentum is
_____________ kg • m/s.

Answers

Momentum is the product of the mass in kg by the velocity in meters per second
50kg*2m/s
= 100kgm/s is his momentum

You are a drop of water going through the water cycle. Where doyou go?How do you get there? What processes do you go through?Include at least three phases of the water .

Answers

Answer:

If I were a drop of water and present in the ocean or any other aquatic system I should have moved in the water cycle as due to heats the water of the aquatic system such as the ocean becomes hot and evaporated turning into vapour, a gaseous phase of water.

Then vapour colloids with cooler air, and become cooler and convert into drops of water again which is called condensation. Drops of water again get back to the earth surface it can be in the form of rain, snow (ice form of water) termed as precipitation.

The three phases of the water cycle are

---> evaporation ---- > condensation -----> precipitation----

What would be the Elastic Potential Energy (EPE) stored in a spring with a constant k = 200 N/m that is pulled to stretch 0.45m?

2,025 J
2,025 J

90 J
90 J

40.50 J
40.50 J

20.25 J

Answers

Answer:

During the summer, oxygen is supplied by surface winds. M/NPT 16 to 26 0.14 to 0.45 m 1/ 77.80 $ 28 Phone: 418 81-1 Fax: 418 81-2882 SZ5-2025 SZ22-200 SZ2-250 SZ24-00 12.5 x 60 12.5 x 60 12.5 x 60 8 x 10 10 x 15 10 x 20 15 x HI-950 can take measures between 0.1 C to 999.9 C/ F. K, J & T-type: The HI-9551

(Hope this is what you're asking for)

Hope this helps Have a good day

How are light waves produced

Answers

Answer:

Electromagnetic waves are created by oscillating charges (which radiate whenever accelerated) and have the same frequency as the oscillation. Since the electric and magnetic fields in most electromagnetic waves are perpendicular to the direction in which the wave moves, it is ordinarily a transverse wave

Explanation:

Answer:

Electromagnetic waves are created by oscillating charges (which radiate whenever accelerated) and have the same frequency as the oscillation. Since the electric and magnetic fields in most electromagnetic waves are perpendicular to the direction in which the wave moves, it is ordinarily a transverse wave

Explanation:


Why would African Americans like the song "Respect"?
A. It represented African Americans and their struggle for equality.
B. It represented African Americans and their success in achieving
equality.
C. It represented African Americans and their fight for African
independence.
D. It represented African Americans and their struggle to end slavery.

Answers

B. It represented African Americans and their struggle for equality.Answer:

Explanation:

A thermometer has a scale which starts at -10 Celcius and ends at 110 Celcius. What is the value of the lower fixed point and of the upper fixed point of the scale?

Answers

Explanation:

The Kelvin, Celsius, and Fahrenheit scales are the three temperature scales that are most widely used. In most physical experiments the Celsius scale is used to take common measurements, but the Kelvin scale is used for most calculations.


A bowling ball rolled with a force of 20 N accelerates at a rate of 5 m/sec2, a second ball rolled with the same force accelerates 10 m/sec2. What are the
combined masses of the two balls?

Answers

Answer:

sorry I need points

Explanation:

IM SO SORRY

What is the frequency of a wave traveling at 10 m/s with a wavelength of 2 m?

Answers

Answer:

5 Hz

Explanation:

Given:

Wave velocity ( v ) = 10 m / sec

wavelength ( λ ) = 2 m

We have to calculate Frequency ( f ) :

We know:

v = λ / t [ f = 1 / t ]

v = λ f

= > f = v / λ

Putting values here we get:

= > f = 10 / 2 Hz

= > f = 5 Hz

Hence, frequency of sound is 5 Hz.

A young girl is on a swing that completes 35.0 cycles in 25 seconds. What are her frequency and period?

Answers

The first question has the answer to your problem! I found the answer key!

Who can help me do some 8th grade Science if so i will mark you the brainliest and also no links

Answers

Answer:

yes I help what is the question

If you have a spaceship that can go 20% of the speed of light, how long would it take to travel 200 light-years?

Answers

Answer:

1498962290

Explanation:

A 0.017 g coin sliding to the right at 0.255 m/s makes an elastic head-on collision with a 0.040 g coin that is initially at rest. After the collision, the 0.017 g coin moves to the left at 0.108 m/s. Find the final velocity of the other coin.

Answers

Answer:

[tex]\approx 0.154\:\mathrm{m/s}[/tex]

Explanation:

In all collisions, whether elastic or inelastic, momentum must be conserved. Therefore, we can write an equation using the conservation of momentum:

[tex]m_{c1}v_{c1,i}+m_{c2}v_{c2,i}=m_{c1}v_{c1,f}+m_{c2}v_{c2,f}[/tex]

Solving for [tex]v_{2c,f}[/tex]:

[tex]0.000017\cdot 0.255+0.000040\cdot0=0.000017\cdot (-0.108)+0.000040\cdot v_{c2,f},\\v_{c2,f}\approx \boxed{0.154\:\mathrm{m/s}}[/tex]

*Notes:

-It's important to convert g to kg, as kg is the SI unit of mass

-The negative sign in a velocity measure represents direction

-Since the velocity we solved for is positive, it implies that the direction is to the right

A radio wave has a frequency of 3,000,000 Hz and a wavelength of 100m. What is the speed?

Answers

Answer:

300,000,000

Explanation:

Use the speed formula

Speed= wavelength x frequency

How does the Doppler effect cause a siren's pitch to increase as it
approaches you?
A. Sound waves are spread out, decreasing wavelength and
increasing frequency.
B. Sound waves are spread out, increasing wavelength and
decreasing frequency.
C. Sound waves are pushed closer together, increasing wavelength
and decreasing frequency.
D. Sound waves are pushed closer together, decreasing wavelength
and increasing frequency.

Answers

Answer:

my answer is c

Explanation:

the sound waves get closer together, increasing their frequency. This listener hears the pitch of the siren get higher. As the car speeds away from listener B, the sound waves get farther apart, decreasing their frequency.

In the center of the Milky Way galaxy is a
A

Answers

The answer is the Galactic Center I think

Answer:

a super massive blackhole

A baseball player catches a 200 gram baseball which is moving
horizontally at a speed of 42.1 m/s. Determine the force which she must
apply to the baseball if her mitt recoils a horizontal distance of 29.2 cm.
A.) 177 N
B.) 0.57 N
C.) 607 N
D.) 57290 N

Please help solve

Answers

Did you get the answer?  I need it

Which of the following best illustrates the work-energy theorem?
A. You push on a box and it moves.
B. You look at an object across the room.
C. You hold an ice cube and it melts.
D. You walk toward a wall and it stops you.

Answers

work energy theorem states that net work done by forces on an object equals a change in kinetic energy
therefore
a) you push on a box and it moves
It might be D not sure yet

The heart working with the blood vessels to pump blood is which body system?
Digestive
Nervous
Respiratory
Cardiovascular

Answers

I think it’s the cardiovascular system

An astronaut weighs 200 N on the Moon where gravity is 1.62 m/s/s. Find his weight on Earth. HELP PLEASE FAST

Answers

Answer:

the weight of the astronaut on Earth is 1209.88 N

Explanation:

Given;

weight of the astronaut, W = 200 N

acceleration due to gravity on moon, g = 1.62 m/s²

Apply Newton's second law of motion to determine the mass of the astronaut;

F = ma = mg

m = F/g

m = 200 / 1.62

m = 123.457 kg

The weight of the astronaut on Earth is calculated as follows;

F = mg

where;

g is acceleration due to gravity on Earth = 9.8 m/s²

F = 123.457 x 9.8

F = 1209.88 N

Therefore, the weight of the astronaut on Earth is 1209.88 N

The period of a wave is 20 ms (milliseconds) and its wavelength is 4 cm. Calculate:

a) The frequency of the wave

b) The velocity of the wave. ​

Answers

Answer:

A. 50 Hz

B. 2 m/s

Explanation:

We'll begin by converting 20 ms to s. This can be obtained as follow:

1000 ms = 1 s

Therefore,

20 ms = 20 ms × 1 s / 1000 ms

20 ms = 0.02 s

Next, we shall convert the value of the wavelength (i.e 4cm) to m. This can be obtained as follow:

100 cm = 1 m

Therefore,

4 cm = 4 cm × 1 m / 100 cm

4 cm = 0.04 m

A. Determination of the frequency.

Period (T) = 0.02 s

Frequency (f) =?

f = 1 / T

f = 1 / 0.02

f = 50 Hz

Therefore, the frequency of the wave is 50 Hz

B. Determination of the velocity.

Wavelength (λ) = 0.04 m

Frequency (f) = 50 Hz

Velocity (v) =?

v = λf

V = 0.04 × 50

v = 2 m/s

Therefore, the velocity of the wave is 2 m/s

I WILL MARK YOU THE BRAINLIEST NO LINKS
If you turn on a radiator, heat will diffuse throughout the room. What does this mean?
The heated molecules will cool down.
The temperature will become unbearably hot.
The heat will spread out.
The heat will be concentrated in one area of the room.

Answers

Answer:

throughout the room. What does this mean? The heat will spread out.

Explanation:

thank me later

______ is a chemical reaction between an acid and a base that forms a salt and water. Group of answer choices Neutralization Dissociation Titration Ionization

Answers

Answer:

neutralization

Explanation:

this is because

acid + base ---> salt + water

A tennis ball and a bowling ball are both rolled down a bowling lane. If the
balls are rolling in the same direction at the same speed, which of the
following is true?
A. The balls have the same momentum because they have equal
velocities.
B. The tennis ball has greater momentum because its mass is less
than the mass of the bowling ball.
C. The balls have no momentum because they have equal velocities,
D. The bowling ball has greater momentum because its mass is
greater than the mass of the tennis ball.

Answers

Answer:

D. The bowling ball has greater momentum because its mass is

greater than the mass of the tennis ball.

Explanation:

The momentum of a body is defined as the product of mass and velocity. That is;

p = mv

This implies that the momentum of a body depends both on its mass and velocity respectively.

The question clearly states that the tennis ball and the bowling ball have the same speed and are rolling in the same direction. However, the bowling ball has a larger mass compared to the tennis ball hence it possesses a greater momentum than the tennis ball.

which feature of a balanced chemical equation demonstrates the law of conservation of mass?​

Answers

A balanced equation demonstrates the conservation of mass by having the same number of each type of atom on both sides of the arrow

A beam of light from a laser pen passed through the air and then through a glass plate. Which diagram accurately models this phenomenon? Use evidence and scientific reasoning to defend your claim.

Answers

Explanation:

the second diagram depicts the phenomenon which is refraction and this stems from light moving from a medium to another......and in this case light moves from a less dense medium to a denser medium hence is refracted away from the normal(the straight line between the medium of air and glass)

PLS GIVE BRAINLY

Diagram B shows the refraction event and this is from light to medium, in this case, the light travels from a slightly narrower area to a compact area and is, therefore, further away from the normal (vertical line between the air and glass).

When a ray of light travels from a central location?

When a ray of light travels from a dense area to a rare place, it bends away from normal.

How do you calculate the refractive index?

Refractive index is also equal to the velocity of light c of a given wavelength in empty space divided by its velocity v in a substance, or n = c/v.

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What makes a model not useful?
A.) if it is in proportion with the object it represents
B.) if it is made of a different material than the object it represents
C.) if it is not the same mass of the object it represents
D.) if it is out of proportion with the object it represents

Answers

Answer is b hope this helps
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