Now consider θc, the angle at which the blue refracted ray hits the bottom surface of the diamond. If θc is larger than the critical angle θcrit, the light will not be refracted out into the air, but instead it will be totally internally reflected back into the diamond. Find θcrit.

Answers

Answer 1

Answer:

θ_c = 24.4º

Explanation:

To find the critical angle, let's use the law of refraction where index 1 refers to the incident medium (diamond) and index 2 refers to the medium where it is to be refracted (air)

          n₁ sin θ₁ = n₂ sin θ₂

for the critical angle the ray comes out refracted parallel to the surface, therefore the angle is

         θ₂ = 90

        n₁ sin θ₁ = n₂

        θ_c = θ₁ = sin⁻¹ [tex]\frac{n_2}{n_1}[/tex]

the index of refraction of the diamond is tabulated

       n₁ = 2.419

let's calculate

          θ_c = sin⁻¹ ([tex]\frac{1}{2.419}[/tex])

         θ_c = 24.4º


Related Questions

The graph show a distance travelled by four cars (A, B, C& D) over a period of time . Which car travelled at a greatest speed? *

Answers

Answer:

Car A traveled with the greatest speed.

Explanation:

We know that the steepness of the slope of the line on the distance-time graph represents speed.

Important Tip:

If the slope of the line is more vertical — steep — the speed will be fast.If the slope of the line is more horizontal — flatter — the speed will be slow.

For example, at t = 5 seconds, the A car has covered more than 80 meters while all the other cars have covered less than 80 meters during the same period.

IIn fact, during the entire journey, it is clear that from the graph that the slope of the line of A car is more vertical — steep — than the slopes of cars B, C, and D.

Therefore, car A traveled with the greatest speed.

which statement is the most correct statement about a gas
A gas takes the shape of it's container
A gas is not affected by changes in pressure
A gas has very little thermal energy
A gas holds it's shape ​

Answers

Gasses take the shape of their container.

A gas fills a container which takes both the shape and the volume of that container.

Answer:

A gas takes the shape of its container

If it took Mrs. Coleman 1.4 s to go from the 10 m mark to the 15 m mark, what was Mrs. Coleman's average speed?​

Answers

Answer:

1m every 0.28 seconds

Explanation:

she travelled 5 m in 1.4 s, so divide it by itself, 1.4s divided by 5 m gets you 0.28s for 1m

An apple in a tree has a GPE of 175 J and a mass of 0.36 KG how high from the ground is the apple Solve for  height

Answers

Answer:

The height of the apple from the ground is at 49552.61071 m or is approximately at 5.0 × 10 m

Explanation:

PLEASE HELP !!

Elements in period 2 on the periodic table all have blank
electron shells.

Answers

Answer:

Two orbitals for their electrons and six in the 2p subshell

Explanation:

Hope this helps :)

Why isn't the story of Israel not fully accurate?

Answers

Answer:

wait what do you mean? And why is this in physics?

Is this about the iron dome or something biblical?

Explanation:

Answer:

the story of Israel is part of the Bible that's what what you're your lesson is

Explanation:

34 Which of these human characteristics shows discontinuous variation?
A blood group
B hair color
C height
D weight

Answers

Answer:

Blood group

Explanation:

Answer:

A. Blood group.

Explanation:

They could purely random genetic changes.

Which has more potential energy: a baseball held 1 m above the ground or a baseball held 2 m above the ground?

Answers

a baseball 1m above the ground i'm pretty sure

The baseball held 2 meters above the ground has more potential energy than the baseball held 1 meter above the ground.  

The potential energy can be calculated with the following equation:

[tex] E_{p} = mgh [/tex]

Where:

m: is the mass of the baseball

g: is the acceleration due to gravity

h: is the height

We can see from equation (1) that the potential energy depends on height, mass, and gravity. Since the question refers to the same baseball, the mass is constant besides the acceleration due to gravity, so:

Potential energy above 1 m

[tex] E_{p_{1}} = mg*1 = mg [/tex]  (1)

Potential energy above 2 m

[tex] E_{p_{2}} = mg*2 = 2mg [/tex]   (2)

By entering equation (1) into 2 we have:

[tex] E_{p_{2}} = 2mg = 2E_{p_{1}} [/tex]

Hence, the potential energy of the baseball held 2 m above the ground is twice that of the baseball held 1 m above the ground.

Therefore, the baseball held 2 m above the ground has more potential energy.

You can learn more about potential energy here: https://brainly.com/question/15813853?referrer=searchResults

I hope it helps you!

A boat pulls an inner tube behind it using a rope. The rope exerts a force 155 N on the inner tube at an angle of 5.88 above the horizontal. What are the horizontal and vertical components of this force?

Answers

Answer:

154 N horizontal (to the right) 15.9 N vertical (up)

Explanation:

I got it right :)

What do seismic waves and sound waves have in common?

Answers

They're both a type of mechanical wave, which require a medium for propagation.

Why does thunder come before lightning?

Answers

Answer:

That is because light travels much faster than sound waves. … It takes approximately 5 seconds for the sound to travel 1 mile.

Explanation:

If the thunder follows the lightning almost instantly, you know the lightning is too close for comfort.

A runner weighing 70 kg, moving at a speed of 8.8 m/s, rounds

a bend with a radius of 25 m. What is the centripetal force

needed to keep this runner on the curve?

a 250 N

b 100 N

C 217 N

d 158 N

Answers

Answer:

217 N

Explanation:

Answer:217N

Explanation:

A space station travels 5000 kilometers in 4 hours. What is its speed?
Group of answer choices

20000 kilometers/hour

12500 kilometers/hour

2000 kilometers/hour

1250 kilometers/hour

Answers

Answer:

it is 1250 because it moves 5000 in four hours then it means that it is moving  at 1250 an hour

Explanation:

A school bus uses petroleum as chemical potential energy. This energy
is
transferred through the engine, which in turn moves the bus. The movement of the
bus is an example of what type of energy?

Answers

Answer: kinetic

Explanation: Just took a test and it was right

Whatb19 ÷117= some help me with this

Answers

Answer:

0.16239316239316239316239

Explanation:

ang haba nang solve ko dito hehe

Describe what a high and low frequency electromagnetic wave look like:

Answers

a high electromagnetic wave has short, very fast, frequent waves.

a low electromagnetic wave has long, very slow, infrequent waves.

hope this helps! pls mark brainliest!

We have that for the Question "Describe what a high and low frequency electromagnetic wave look like:" it can be said that

A high frequency wave will have shorter wavelength whereas a low frequency wave will have long wavelengthA high frequency wave will have shorter period whereas a low frequency wave will have long periodA high frequency wave will be Faster whereas a low frequency wave will have slower

From the question we are told

Describe what a high and low frequency electromagnetic wave look like:

Generally the equation for the frequency  is mathematically given as

[tex]f=\frac{1}{t}\\\\and\\\\f=\frac{v}{\lambda}\\\\[/tex]

Therefore

A high frequency wave will have shorter wavelength whereas a low frequency wave will have long wavelength

A high frequency wave will have shorter period whereas a low frequency wave will have long period

A high frequency wave will be Faster whereas a low frequency wave will have slower

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NEED HELP HELP HELP WILL GIVE BRAINLIST PLEASE

DESCRIBE THE IMAGE FORMS WHEN THE OBJECT NEAR TO THE CONCAVE MIRROR

Answers

When the object is between the pole and the focus the image formed is behind the mirror

The image formed will be virtual , erect and magnified

Hope it helps

The Sankey diagram shows the energy transfers in an LED light bulb.

(look at the attached photo)

Answers

Answer:

B)20%

Explanation:

only the 2j of energy is getting used out of 10j.all other 8j are wasted as heat.

therefore the efficiency=2/10*100=20

To what temperature will a 50.0 g piece of glass raise if it absorbs 5275 joules of heat and its specific heat capacity is 0.50 J/g°C? The initial temperature of the glass is 20.0°C.

Answers

Answer:

Final temperature, T2 = 131895°C

Explanation:

Given the following data;

Mass = 50g

Initial temperature = 20°C

Quantity of heat = 5275J

Specific heat capacity = 0.50 J/g°C

To find the final temperature;

Heat capacity is given by the formula;

[tex] Q = mcdt[/tex]

Where;

Q represents the heat capacity or quantity of heat.

m represents the mass of an object.

c represents the specific heat capacity of water.

dt represents the change in temperature.

Making dt the subject of formula, we have;

[tex] dt = \frac {Q}{mc} [/tex]

Substituting into the equation, we have;

[tex] dt = \frac {5275}{50*0.50} [/tex]

[tex] dt = \frac {5275}{25} [/tex]

dt = 131875°C

Now, the final temperature T2 is;

But, dt = T2 - T1

T2 = dt + T1

T2 = 131875 + 20

T2 = 131895°C

The final temperature when a glass piece absorbs heat  5275 joules  will be  T2= 231 C

What is heat capacity?

The heat capacity is defined as the amount of heat any material can absorb when the temperature is changed to unit quantity.

Given the following data;

Mass = 50g

Initial temperature = 20°C

Quantity of heat = 5275J

Specific heat capacity = 0.50 J/g°C

To find the final temperature;

Heat capacity is given by the formula;

[tex]Q= mc(T_2-T_1)[/tex]

Where;

Q = represents the heat capacity or quantity of heat.

M= represents the mass of an object.

C= represents the specific heat capacity  

T1= initial temperature

T2 = Final temperature

Substituting into the equation, we have;

[tex]Q=mc(T_2-T_1)[/tex]

[tex](T_2-T_1)=\dfrac{Q}{mc}[/tex]

[tex](T_2-T_1)=\dfrac{5275}{50\times 0.50}[/tex]

[tex]T_2=211+T_1[/tex]

[tex]T_2=211+20=231 ^oc[/tex]

Thus the final temperature when a glass piece absorbs heat  5275 joules  will be  T2= 231 C

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What element atomic number is in Group 17 and Period 6?

Answers

[tex] \\ [/tex]

The halogen elements are the six elements in Group 17 of the periodic table. Group 17 is the second column from the right in the periodic table and contains six elements: fluorine (F), chlorine (Cl), bromine (Br), iodine (I), astatine (As), and tennessine (Ts).

[tex] \\ [/tex]

Hope It Helps!

A man pushed the box with a force of 20 N. The mass of the box doubled, but he still pushed with a force of 20 N.
Which option describes how the acceleration of the box after the mass was doubled?

a) The acceleration is 2x the original acceleration

b) Acceleration is 4x the original acceleration

c) Acceleration is 1/2x the original acceleration

d) Acceleration is 1/4x the original acceleration

Answers

Answer:

Option (c) Acceleration is 1/2x the original acceleration

Explanation:

To know the the correct answer to the question, we shall determine the acceleration of the box in each case.

Case 1:

Mass (m) = m

Force (F) = 20 N

Acceleration 1 (a₁) =?

F = ma₁

20 = m × a₁

Divide both side by m

a₁ = 20 / m

Case 2:

Mass (m) = 2m

Force (F) = 20 N

Acceleration 2 (a₂) =?

F = ma₂

20 = 2m × a₂

Divide both side by 2m

a₂ = 20 / 2m

a₂ = 10 / m

Finally, we shall determine the acceleration of the box after the mass was doubled. This can be obtained as illustrated below:

Acceleration 1 (a₁) = 20 / m

Acceleration 2 (a₂) = 10 / m

a₂ : a₁ = 10 / m : 20 / m

a₂ / a₁ = 10 / m ÷ 20 / m

a₂ / a₁ = (10 / m) × (m / 20)

a₂ / a₁ = ½

Cross multiply

a₂ = ½a₁

Thus, the acceleration of the box after the mass was doubled is ½ times the original acceleration.

Which statement accurately describes viscosity?
A. A liquid with larger molecules resists movement more than a liquid with smaller molecules does.
B. A material slows or completely blocks the flow of electrons through it.
C. A material with relatively weak bonds between its particles can be shaped into a thin sheet.
D. Attractive forces between molecules at the surface cause a liquid to resist spreading out.​

Answers

The statement that accurately describes viscosity is option D: Attractive forces between molecules at the surface cause a liquid to resist spreading out. Option D

Viscosity is a measure of a fluid's resistance to flow. It quantifies how easily a fluid can be deformed or how readily it flows. In liquids, viscosity arises from the cohesive forces between molecules.

When molecules in a liquid are attracted to each other, they tend to stick together and resist movement. At the surface of the liquid, there is a greater degree of attractive forces between the molecules since they have fewer neighboring molecules to interact with.

This surface tension creates a resistance to the spreading out of the liquid and causes it to exhibit a more rounded or droplet-like shape.

The attractive forces between molecules at the surface of a liquid contribute to the cohesive forces within the liquid as a whole, resulting in a higher viscosity.

The stronger the attractive forces between the molecules, the higher the viscosity of the liquid. For example, honey has a higher viscosity compared to water because the molecules in honey have stronger attractive forces, making it flow more slowly.

Option A is not an accurate description of viscosity. Viscosity is not solely determined by the size of the molecules in a liquid but rather by the strength of the attractive forces between the molecules.

Option B describes electrical conductivity, not viscosity. It refers to a material's ability to slow down or impede the flow of electrons.

Option C describes the property of malleability, not viscosity. It refers to a material's ability to be shaped into a thin sheet without breaking.

Therefore, option D accurately describes viscosity by highlighting the role of attractive forces between molecules at the surface of a liquid in resisting the spreading out of the liquid

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True or false
Forces/Dynamics​

Answers

Answer:they answer is false

Answer:

6.T

7.T

8.F

9.F

10.T

Explanation:

An object has a force of 88N to the right Wth an acceleration of 8 m/s2 to the right. What is the mass of the object? (mass has a unit of kg.)

Answers

Answer:

your answer is 11

Explanation:

An object has a mass of 3 kg and an acceleration 7 m/s2to the left. What is the force?

Answers

Answer:

your answer is 21 n

Explanation:

If an object is placed between a convex lens and its focal point, which type of image will be produced?
A.
real, inverted, and magnified
B.
real, upright, and smaller
C.
virtual, inverted, and magnified
D.
virtual, upright, and magnified
E.
real, inverted, and smaller

Answers

Answer:

A

Explanation:

Beacuse it has 2 angles

Answer:

b I do believe sorry if I'm wrong

What is physical activity?

Answers

Answer:

answer is b. any movement that uses your muscles and requires energy

Explanation:

Identify the relationship between strong forces and electric forces in the nucleus.

A. Both forces push protons apart
B. Both forces act only on neutrons
C. Strong forces only act on neutrons and electric forces act only pn proton.
D. Strong forces oppose electric forces.

Answers

Answer:

C

Explanation:

The strong force holds together quarks, the fundamental particles that make up the protons and neutrons of the atomic nucleus, and further holds together protons and neutrons to form atomic nuclei. As such it is responsible for the underlying stability of matter.

If you pedal harder so the bike tires push against the ground with
more force, what will happen to the bike?


Please helppp!!!

Answers

Answer:

friction from the ground rubs on the tire which gives it more force to move forward,

Explanation: without friction the bike wont be able to use the motion to move forward. but the tires start to wear out easily.

Suppose 550 g of water at 32 degrees * C is poured into a 210 - g aluminum can with an initial temperature of 15 degrees * C . Find the final temperature of the system, assuming that no thermal energy is exchanged with the surroundings.

Answers

Answer:

about 30.714degC

Explanation:

Assuming

specific heat of water at  4200 J/kg * K

specific heat of aluminum 900 J/kg * K

(actual values to higher precision differ, and also change slightly with temperature).

To raise the aluminum's temp by 1K we need 900J * (210g / 1kg) = 189J

189J given by the water decreases its temp by 1K * (189J / 4200J) * (1kg / 550g) = 0.0(81)K.

So every K the temp of aluminum rises, 0.0(81)K falls the temp of the water.

At a difference of (32degC - 15degC) = 17K, we infer the temp will balance out after 17K / (1K + 0.0(81)K) "steps", so about 15.714.

The final temperature will be around 30.714degC

The final temperature of the water-aluminum mixture is 30.7 ⁰C.

The given parameters;

mass of the water, = 550 ginitial temperature of the water, = 32⁰Cmass of the aluminum, 210 ginitial temperature of the aluminum = 15⁰ Cspecific heat capacity of water = 4.184 J/g⁰Cspecific heat capacity of aluminum = 0.9 J/g⁰C

The final temperature of the mixture is determined by applying the principle of conservation of energy;

Heat lost by the water = Heat gained by the aluminum

[tex]mc_w \Delta t = mc_{AL} \Delta t\\\\550 \times 4.184 \times (32 - t) = 210\times 0.9 \times (t - 15)\\\\73638.4 - 2301.2t = 189t - 2835\\\\76473.4 = 2490.2t\\\\t =\frac{76473.4}{2490.2} \\\\t = 30.7 \ ^0C[/tex]

Thus, the final temperature of the water-aluminum mixture is 30.7 ⁰C.

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