A certain glass has a refractive index of 1.50 when in contact with air. Calculate
i) the angle of refraction in glass when a light ray is incident at 30° with the normal.

ii) at what angle of incidence would one need to shine a beam of light so as to emerge in glass at 36°.

To all the Physics pros, I need help please . Thanks!​

Answers

Answer 1

Answer:

i) The angle of refraction is approximately 19.47°

ii) The angle of the incident light should be approximately 61.85°

Explanation:

Snell's law for the relationship between the angle of incident  and the angle of refraction of light is given mathematically as follows;

n₁·sin(θ₁) = n₂·sin(θ₂)

i) The characteristics of the glass are;

The refractive index of the glass, n₂ = 1.50

The angle of incident of the light ray in air, θ₁ = 30°

The refractive index of air, n₁ = 1

Let 'θ₂' represent the angle of the light refracted by the glass, by Snell's law we have;

1 × sin(30°) = 1.5 × sin(θ₂)

∴ sin(θ₂) = 1 × sin(30°)/1.5 = 1 × 0.5/1.5 = 1/3

θ₂ = arcsin(1/3) ≈ 19.47°

∴  The angle of refraction, θ₂ ≈ 19.47°

ii) When the angle at which the light incident from air emerges in the glass is 36°, we have;

The angle of refraction of the light through the glass, θ₂ = 36°

The refractive index of the glass remains, n₂ = 1.50

The refractive index of air, n₁ = 1

Let 'θ₁' represent the angle of the incident light, we get;

1 × sin(θ₁) = 1.5 × sin(36°)

∴ sin(θ₁) = 1.5 × sin(36°) = 1.5 × √(10 - 2·√5)/4

θ₁ = arcsin( 1.5 × √(10 - 2·√5)/4 ) ≈ 61.85°

The angle of the incident light should be, θ₁ ≈ 61.85°.


Related Questions

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In which reaction is there a transformation of mass into energy?
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B. Sodium combines with chlorine to form sodium chloride.
C. Hydrogen combines with oxygen to form water
D. Ammonium nitrate breaks down into dinitrogen monoxide and
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Explanation:

Specifically, small amounts of mass are turned into energy from the breaking up (fission) or combination (fusion) of the nuclei of atoms. Even spontaneous radioactive decay converts a bit of mass into incredible amounts of energy.

Answer:

A. Uranium breaks apart into krypton, barium, and three neutrons.

Explanation:

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Using the diagram below, identify the correct chemical formula for the molecule shown.

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Answer:

is the firts one because i due it in jannuary i will know all answer

Explanation:

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Answers

Answer:

the initial velocity of the ball is 104.67 m/s.

Explanation:

Given;

angle of projection, θ = 60⁰

time of flight, T = 18.5 s

let the initial velocity of the ball, = u

The time of flight is given as;

[tex]T = \frac{2u\times sin(\theta)}{g} \\\\2u\times sin(\theta) = Tg\\\\u = \frac{Tg}{2\times sin(\theta)} \\\\u = \frac{18.5 \times 9.8}{2\times sin(60^0)} \\\\u = 104.67 \ m/s[/tex]

Therefore, the initial velocity of the ball is 104.67 m/s.

study the symbol below .draw it your answer sheet and then the question that follow.



1.what does the symbol suggest?Explain.

2.which 3R`s should be done first and the most often:Reduce and Reuse or Recycle?which follows next and which should be done last​

Answers

Answer:

Part A

Please find attached the required drawing created with Microsoft Visio

Part B

1. The symbol (from a similar question) suggest the steps used to conserve resources

2. i) Reduce

ii) Reuse

iii) Recycle

Explanation:

1. The symbol suggests that in order to maintain sustainable use of our natural resources we can conserve them reducing waste, making use of reusable products, and recycling items to produce new items

2. i) The conservation step to be done first in the 3R's is Reduce

The natural resources can be conserved by reducing the amount of waste produced and also reducing the usage of non renewable natural resourced

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There are several items that can be made use of for other purpose after they have been used including, water, bags for shopping, reusable nose masks

iii) The item which should be done last is Recycle

To recycle is to process used materials to create other items which can then be used as new items

Examples include;

Iron, Plastics, glass, paper, tires, and electronics

If I was floating in space, why would a scale read my weight as "0"?

Answers

Answer:

No external contact force.

Explanation:

Mass is defined as the amount of material an object contains, that doesn't change whether the object it on earth, on the moon or anywhere in space. Except the only force that is acting upon the body in gravity and they don't feel gravitational attraction towards the earth.

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An electron is located 4.22 mm away from an isolated proton. If the distance between the two particles is increased to 8.44 mm, what
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O A. The electrical potential energy will increase because work must be done to separate two particles that attract one another.
B. The electrical potential energy will remain the same because the electron and proton are both fundamental particles and their
charge cannot be changed.
O
C. The electrical potential energy will increase because larger energies are associated with greater distances.
O D. The electrical potential energy will decrease because no work is necessary to increase the distance between particles that
demonstrate attraction.

Answers

You can download answer here

tinyurl.com/wpazsebu

If the distance between the two particles is increased to 8.44 mm, the electrical potential energy will increase because work must be done to separate two particles that attract one another. Hence option(A) is correct.

What is potential energy?

Potential energy is the energy held by an object as a result of its position relative to other objects, internal stresses, electric charge, or other factors.

The gravitational potential energy of an object, the elastic potential energy of an extended spring, and the electric potential energy of an electric charge in an electric field are all examples of common types of potential energy. The joule, denoted by the symbol J, is the unit of energy in the International System of Units (SI).

The positive and negative charges attract each other, so work must be done to separate two particles. Hence, the electrical potential energy will increase.

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The work per unit charge required to move a charge between two points in an electric circuit defines electric
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Answers

The work per unit charge required to move a charge between two points in an electric circuit electric potential difference. The right option is D) potential difference

What is electric potential difference?

Potential difference can be defined as the work done in moving a unit charge from one point to another in an electric field. The S.I unit of potential difference is volts (V).

From the question,

Force: is the product of mass and acceleration Power: This is the rate at which work is done.Field strength: This is the force per unit charge in a field.Potential difference: This is the work done in moving a unit charge from one point to another in a field.

Hence, from the above, the right option is D) Potential difference

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Which of the following elements is NOT considered a halogen?
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-Argon (Ar)

Answers

Answer:

Argon

Explanation:

Halogens are elements within group 17 on the periodic table. As argon is in group 18, which means it is a noble gas. Bromine, chorine, and flourine are all in group 17, making them halogens.

Angela is sitting on a slide. As she is sitting at the top of the slide, Angela has
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However, when she begins to go down the slide, she will have
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Answers

Answer:

OA. potential; kinetic

Explanation:

I'll mark brainliest if you help me. :)

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Answer:

gravitational potantional energy

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ill try to link a source!

edit: https://flexbooks.ck12.org/cbook/ck-12-middle-school-physical-science-flexbook-2.0/section/14.3/primary/lesson/potential-energy-ms-ps#:~:text=Potential%20energy%20due%20to%20the,is%20called%20gravitational%20potential%20energy.

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Answer:

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Part of Newton's Laws of Motion

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Answers

Answer:

4:10

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I NEED HELP ASAP


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Answers

Answer:

Let the weight of the worker represented by X newton there is a normal force exerted at a distance of 0.67 cm

Explanation:

The weight of the worker which is at a balanced state when the pivot is 0.670 m from it is 447.1 N.

What is Torque?

Torque is a twisting force which speaks to the engine's rotational force and it also measures how much of that twisting force is actually available when an engine exerts itself.

For equilibrium , net torque = 0

Taking clockwise direction positive,

W × (-0.670) + 107N × 2.80 = 0

W × (-0.670) = -299.6

W = -299.6/ -0.670

W = 447.1 N

Therefore, the weight of the worker is 447.1 N.

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Your question is incomplete, most probably the complete question is:

A worker sits at one end of a rod that is 2.80 m long. A weight of 107 N is placed at the other end of the rod. The rod is balanced when the pivot is 0.670 m from the worker. Calculate the weight of the worker.

A toy helicopter begins flying across a field with a speed of 1 m/s and an
acceleration of 0.5 m/s2. How long does it take the helicopter to reach a
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Where t is the time taken

is corona the least dense layer in the sun? please fast

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Answer:

the Corona is about 10 million times less dense than sun's surface.this low density makesuch less bright than surface of the sun

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dude the ans no corona,

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It cannot survive in space let alone be one of the layer of the sun due to its high temperature ( that is 2million fahrenheit )

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Answers

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5/100 =120=0.05or 5%

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I had this same thing this morning

HELP MEEEEEEEE PLEASEEEE

A) Compare the difference in the forces of impact for each of two helmets dropped form the same height in figure 2 and explain what this
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the same mass and that the crash pads slow down the helmets as they hit. You may use equation Fat mavto support your answer.
B) Explain why the relationship between force and time is important to a helmet designer.
During a collision, a skater will suddenly come to a complete stop. This is a foam of acceleration. A helmet can change the amount of
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BI
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Answers

Answer:

B Explain why the relationship between force and time is important to a helmet designer.

During a collision, a skater will suddenly come to a complete stop. This is a foam of acceleration. A helmet can change the amount of

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Answers

Answer:

216.39 N/m

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F = 64.7 N

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Greenhouse gases trap thermal energy and reflect the sun’s harmful radiation back to Earth.

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Answers

Greenhouse gases trap thermal energy and reflect the sun’s harmful radiation back to Earth is the answer

im not 100% sure tho

hope it helps:))

A person is listening with his ear against the rail for an oncoming train. When the train is 1.65 km away, how long will it take him to hear the sound of the whistle?

Answers

Answer:

Time = 0.317 seconds.

Explanation:

Given the following data;

Distance = 1.65km to meters = 1.65 * 1000 = 1650 meters

We know that the speed of sound in steel is equal to 5200m/s

To find the time to hear the sound of the whistle;

Time = distance/speed

Substituting into the equation, we have

Time = 1650/5200

Time = 0.317 seconds.

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Answers

That all depends on the ANGLE between the two forces.

It can be anything from a minimum of 150N (if they point in exactly opposite directions) to a maximum of 400N (if they point in exactly the same direction).

How is the velocity of a wave affected by its frequency, wavelength, and period?

Answers

Answer:

I can only explain using the formula

Explanation:

v=f

[tex]v = f \times lamda[/tex]

v is velocity

f is frequency

lamda is wavelength ( I don't have the symbol)

therefore velocity is the product of frequency and wavelength

And since period is the inverse of frequency;

Period (T)=1/f

so we can have v=lamda/T

That's what I think

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B answr is right there

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Answer:

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Answer:

D

Explanation:

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Answer:

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Answers

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Answer:

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Explanation:

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Is this right?? Please help me. IT IS SOCIOLOGY!

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where is the picture???
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