Light traveling in a vacuum (n1 = 1) encounters a boundary with a material of index n2 = 1.5. If the light strikes the boundary at an angle of incidence of 30o, what is the angle of refraction (in degrees)? You may use your software if needed.

Answers

Answer 1

Answer:

The angle of refraction is 19.5⁰

Explanation:

Given;

refractive index of the vacuum, n₁ = 1

refractive index of the material, n₂ = 1.5

angle of incidence of,  θ₁ = 30⁰

Apply Snell's law

n₁Sinθ₂ = n₂Sinθ₂

(1)Sin 30⁰ = 1.5Sinθ₂

(1)(0.5) = 1.5Sinθ₂

0.5 = 1.5Sinθ₂

Sinθ₂ = 0.5 / 1.5

Sinθ₂ = 0.3333

θ₂ = Sin⁻¹(0.3333)

θ₂ = 19.5⁰

Therefore, the angle of refraction is 19.5⁰


Related Questions

A biker first accelerates from 0.0 m/s to 6.0 m/s in 6 s, then continues at this speed for 5 s. What is the total distance traveled by the biker?

100 m

80 m

30 m

48 m

PLZ heeeeelp ​

Answers

Answer:

48m

Explanation:

Given the following data;

Initial velocity = 0m/s

Final velocity = 6m/s

Time, t = 6 secs

Time, T2 = 5 secs

Mathematically, acceleration is given by the equation;

[tex]Acceleration (a) = \frac{final \; velocity - initial \; velocity}{time}[/tex]

Substituting into the equation;

[tex]a = \frac{6 - 0}{6}[/tex]

[tex]a = \frac{6}{6}[/tex]

Acceleration, a = 1m/s²

To find the distance covered in the first phase;

Solving for distance, we would use the second equation of motion;

[tex] S = ut + \frac {1}{2}at^{2}[/tex]

Substituting the values into the equation;

[tex] S = 0(6) + \frac {1}{2}*1*(6)^{2}[/tex]

[tex] S = 0 + \frac {1}{2}*1*36[/tex]

[tex] S = 0.5 *36[/tex]

Distance, S1 = 18m

For the second phase, time T2 = 5 secs;

Mathematically, speed is given by the equation;

[tex]Speed = \frac{distance}{time}[/tex]

Making distance the subject of formula, we have;

[tex]Distance, S = speed * time[/tex]

Substituting into the above equation;

[tex]Distance, S = 6 * 5[/tex]

Distance, S2 = 30m

Total distance = S1 + S2 = 18m + 30m = 48m

Total distance = 48m

Therefore, the total distance traveled by the biker is 48m.

It will be easier to lift a load in wheel barrow if the load is moved
towards the wheel.why​

Answers

Answer:

the moment

Explanation:

the shorter the distance from the force, the lesser the torque acting on it

What is precipitation and how does it affect weather? (20 points)

Answers

Precipitation is any liquid or frozen water that forms in the atmosphere and falls back to the earth. It comes in many forms like rain, sleet, and snow. Along with evaporation and condensation.

Answer:

precipitation is any frozen or liquid that forms in the atmosphere and falls back to Earth in the form of rain, hail, snow, or sleet.

Explanation:

precipitation can give an excessive amount of rainfall which will result in freezing crops andcold temperatures

a neutral comb brushes

Answers

? What’s the question

what is a factor that scientists use to classify orders of soil?

Answers

climate, plant type, soil composition.

how can voltage be produced by magnetism and motion?​

Answers

Answer:

Electromagnetic Induction by a Moving Magnet

Then the action of moving a coil or loop of wire through a magnetic field induces a voltage in the coil with the magnitude of this induced voltage being proportional to the speed or velocity of the movement.

Explanation:

Explain the "war of the currents"

Answers

Answer:

the war of currents is

Explanation:

The war of currents was a series of events surrounding the introduction of competing electric power transmission systems in the late 1880s and early 1890s.

Answer:

a series of events surrounding the introduction of competing electric power transmission systems in the late 1880s and early 1890s

Explanation:

How much tension must a rope withstand if it is used to accelerate a 1200-kg car vertically upwards at 0.8m/s2?

Answers

Answer:

T = 12732 [N]

Explanation:

To solve this problem we must use newton's second law which tells us that the sum of forces on a body is equal to the product of mass by acceleration.

By means of the attached free body diagram, we can better understand the solution to this problem.

As we see in the diagram the tension Force T lifts the car upwards so the movement is upwards. Therefore we have two forces one upward (positive) of the force T and the other negative downward due to the weight of the vehicle.

As the movement is up the acceleration is also up (with a positive sign).

ΣF = m*a

where:

F = forces [N] (units of Newtons)

m = mass = 1200 [kg]

a = acceleration = 0.8 [m/s²]

T - 1200*9.81 = 1200*(0.8)

T = 12732 [N]

Answer:

12,720

Explanation:

Walking down a pebble beach becomes less painful as you enter the sea. Explain why.

Answers

Answer:Since pressure = force/area, the same force on a smaller area means more pressure. When you are walking on sand, the force being applied by your body is spread out over the entire surface of your foot. ... So, more pressure applied on a given area of your foot causes more pain.

Explanation:

Good Question

Which form of energy has the most potential globally

a) Solar energy

b) Bio energy

c) Wind energy

d) Geothermal energy

Answers

Answer:

i think the answer is solar,

Explanation:

because it is a natural resource im sorry if im wrong

A ball is thrown straight up from the ground with an unknown velocity. It reaches its highest point after 5.5 s. With what velocity did it leave the ground?

Answers

v = u + at
0 = u -9.8 x 5.5
u = 9.8 x 5.5 = 53.9 m/s

The length of the displacement vector represents how far an object ____.

A) is visible

B) can be stretched

C) traveled in one direction

D) can be thrown

Answers

I think it’s D hope this helps

A box with weight of magnitude F_G = 2.00 N is lowered by a rope down a smooth plane that is inclined at an angle φ = 30.0 degrees about ve the horizontal. The normal force acting on the box has a magnitude n = 1.73 N, the tension force is 1.00 N, and the displacement Δr of the box is 1.80 m down the cloned plane.

What is the work W_G done on the box by the gravity?

Answers

Answer:

1.8 J

Explanation:

I had this exact question today and found someone who had solved it before, this was their response to the work done by gravity. They used the name "physicsmom"

Vertical distance = 1.8 sin 30 = .9 m

W = 2 N * .9 m = 1.8J

Good luck! I hope this helps!

The work done on the box by the gravity is 0.072 J.

The given parameters;

weight of the box, [tex]F_g[/tex] = 2 Ninclination of the rope, φ = 30⁰normal force acting on the box, n = 1.73 Ntension on the rope, T = 1 Ndisplacement of the box, Δr = 1.8 m

The work done on the box by gravity is calculated as follows;

W = FΔr

where;

F is the net horizontal force on the block

The net horizontal force on the box  is calculated as follows;

[tex]\Sigma F_x = F_g sin(\theta ) - F_k\\\\ \Sigma F_x = F_g sin(\theta ) - \mu_k F_n \\\\ \Sigma F_x = 2 \times sin(30 ) - (tan \theta) \times F_n\\\\ \Sigma F_x = 1 - (tan\ 30) \times 1.73\\\\ \Sigma F_x = 0.04 \ N[/tex]

The work done on the box by gravity is calculated as;

W = 0.04 x 1.8

W = 0.072 J.

Thus, the work done on the box by the gravity is 0.072 J.

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Dr. Metallica wants to change the property of an alloy? How could she do this? SELECT ALL THAT APPLY.
A. She could heat the alloy enough that it is malleable.
B. She could change the metal(s) used in the alloy.
C. She could change the nonmetal(s) used in the alloy.
D. She could change the percentages of the elements used in the alloy.

Answers

Answer:

METALLICA = HOT BAND

Explanation:

The answer is a, you're welcome babes

Answer: A B D

Explanation:

ANALOGY, Metal ions: buoys, as electrons: _____.
a. water
b. other buoys
c. boats
d. sand

Answers

Answer:

a. water

Explanation:

A buoy is a floating object that is used in the sea to locate some point or as a checkpoint. It stays at its designated position in the sea by means of an anchor chain. This chain is made short in length according to the water depth do the buoy can not deviate much from its position. The same mechanism can be applied to the metal ion. When a metal ion is formed it remains at its place, but the electrons are mobile and they travel when they get a medium. For example in circuits or from one atom to other. And for the case of buoy, the water serves as electrons as the water is moving in the medium. Hence, the second analogy will be:

electrons : water

So, the correct option is:

a. water

Answer:

A. Water

Explanation:

What is a young lady in a binkini I pictures help me understand the must :)

Answers

Uhhh.. creep. Can you like..not?

Answer: Lol what the heck I never heard this type of question. but I mean you see it when you go to the beach so yeah that's all I'm telling you U-U

How would the photographer use the polarizing filter to find out the direction of polarization of the light coming from the blue sky?

Answers

Answer:

by rotating the filter                    

Explanation:

Rayleigh's scattering is given by the process of the scattering of light by molecules. This is very important physical phenomenon. Polarization is also an effect of light scattering.

A photographer wishes to capture photos of some cloud formation by using the polarizing filter. So the photographer will have to rotate the polarizing filter until the intensity of the light becomes maximum such that the light polarization is acts along the axis of the filter.

The Amazon rainforest has millions of trees down in South America. Pantanal, the largest wetland, or swamp, on Earth sits directly below the Amazon on a map. Explain this phenomenon using processes from the water cycle.

The subject is science just to let you know.

Answers

Answer:The Pantanal is, when the season changes of the river flow, the pantanal shrinks after a few river channels The amazon rainforest has a lot of trees.The vapor rises and condenses it into clouds.Water leaves the forest and comes back, the amazon leaves itself.If the amazon water was not to go by itself everything would be different.

Answer:

Nine, Brazil, Venezuela

Explanation:

If the jet is moving at a speed of 1140 km/h at the lowest point of the loop, determine the minimum radius of the circle so that the centripetal acceleration at the lowest point does not exceed 6.0 g's.

Answers

Answer:

The radius is  [tex]r =1705.44 \ m[/tex]

Explanation:

From the question we are told that

   The speed is [tex]v = 1140 \ km /h = \frac{1140 * 1000}{3600} = 316.67 \ m/s[/tex]

   The centripetal acceleration is  [tex]a = 6 g's = 6 * 9.8 = 58.8 \ m/s^2[/tex]

Generally the centripetal force acting on the jet is mathematically represented as  

        [tex]F_c = \frac{m * v^2 }{r}[/tex]

Generally this centripetal force is equal to the net force acting which according to Newton's third law is mathematically  represented as

      [tex]F = m * a[/tex]

So

      [tex]\frac{m * v^2 }{r} = ma[/tex]

=>   [tex]\frac{ v^2 }{r} = a[/tex]

=>  [tex]r = \frac{v^2}{a}[/tex]

=>  [tex]r = \frac{316.67^2}{58.8}[/tex]

=>  [tex]r =1705.44 \ m[/tex]

HELP ASAP!!!!!!!!!
Mark and Steven were conducting an investigation where they were measuring the energy of a glass marble as it rolled down a ramp. According to their calculations, the total energy of the marble decreased. Which statement below is the best explanation for the decrease in total energy?
A) It decreased because it was destroyed by the interaction with the ramp
B) The total energy always decreases in an energy conversion
C) They were incorrect; the energy totals should have been the same
D) The energy decreased because heat resulted from friction between the marble and the ramp

Answers

B) The total energy always decreases in an energy conversion,

This is because: Energy decreases as it moves up trophic levels because energy is lost as metabolic heat when the organisms from one trophic level are consumed by organisms from the next level. Trophic level transfer efficiency (TLTE) measures the amount of energy that is transferred between trophic levels

Hope this helps! ✨

Plzzz helppppp!!! I need answers A, B, C & D

Answers

Answer: the answer i for c is yes 0& 10

Explanation:

When a balloon is rubbed on a surface and then touched to hair it will attract the hair, causing it to stick to the balloon. Explain why this happens.

Answers

Answer:

electricity

Explanation:

Answer:

This is called static electricity

Explanation:

The reasoning behind this is because the negative electrons in your hair are being transferred to the balloon, then when the balloon is removed it pulls on the hair with an attractive electric force.

Some examples from everyday life of thermal radiators include:______.A. Humans.B. The Sun.C. Incandescent light bulbs.D. Lasers.E. Accelerating electrons.

Answers

Answer: A. Humans B. The sun C. Incandescent light bulbs

Explanation:

Thermal radiators are simply referred to as the heat exchangers that are designed in order to transfer thermal energy from one particular place to another.

Some examples from everyday life of thermal radiators include humans, the Sun and incandescent light bulbs. All these help in transfer of hear from one medium to another medium

how is life determined on math

Answers

Answer:

you can use math as a banker, a doctor, a scientist, the president probably uses math, you use math to see how much less juice you gave your sibling, and you can use math to help in collage! (sorry if its wrong tell me if it is)

Answer: Isn't it because we use it daily especially with financial needs, scientific research, and the way people even use it to cook

Explanation: Therefore everything, especially in physics where you determine what density, distance, and equations following the scientific research.

Rosa eats a peanut butter sandwich for lunch. Peanut butter contains a lot
of protein, and bread is mostly starch. Rosa plans to go for a run later this
afternoon. Rosa is breathing normally.

Answers

Cmndkdkkdnd djnd dhdbhd s ahah who w baggage wbhebwnwh

The first group of planets that are made of rock and closest to the sun

Answers

Answer:

A terrestrial planet, telluric planet, or rocky planet is a planet that is composed primarily of silicate rocks or metals. Within the Solar System, the terrestrial planets are the inner planets closest to the Sun

help please it's worth a huge part of my grade!!

Answers

Answer:

i cant see it

Explanation:

sorry maybe try to show us a different way?

pls answer this
quick as possible

Answers

Answer:

The answer is the 4th one

Explanation:

Good luck man

Please help with this physics question

Answers

The correct answer is A continúe moving with constant velocity

Which of the following is a function of the geosphere?
a.
facilitating the movement of water through spheres through transpiration
b.
providing a moderate, livable climate
c.
facilitating the process of photosynthesis
d.
serving as the interface between the other spheres

Answers

The function of the geosphere is to serve as the interface between the other spheres, so option D is correct.

What is geosphere?

Different definitions of the geosphere have conflicting uses. It can be used to refer to the atmosphere, lithosphere, hydrosphere, and cryosphere as a whole.  

Different mass and/or energy flows can be exchanged between the various geosphere collectives (the measurable amount of change). The balance of the various geosphere spheres is impacted by the exchange of these fluxes. As an illustration, consider how the soil functions as both a source of flux exchange and as a component of the biosphere.

Since the start of space travel, it has been noted that the ionosphere's or plasmasphere's size is highly changeable, frequently greater than previously thought, and occasionally even reaches the magnetosphere's outer limits.

The term "geopause" (or "magnetopause") refers to this wildly fluctuating outer limit of geogenic matter and conveys the relative dearth of such matter beyond it, where the solar wind predominates.

Therefore, serving as the interface between the other spheres is a function of the geosphere.

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Serving as the interface between the other spheres. Therefore option D is correct.

The geosphere refers to the solid Earth, including the rocks, minerals, and landforms that make up the planet's surface. It plays a crucial role in the Earth's system and interacts with other spheres, such as the atmosphere, hydrosphere, and biosphere.

Serving as the interface between the other spheres: This is the correct function of the geosphere. It acts as the solid Earth, providing a foundation and interacting with the other spheres.

For example, the geosphere influences the movement of water (hydrosphere) through processes like infiltration and groundwater flow. It also influences atmospheric processes through land-sea interactions, affecting wind patterns and climate in certain regions.

Know more about the geosphere:

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