This question is a long free-response question. Show your work for each part of the question.
(12 points, suggested time 25 minutes)
A group of students is asked to determine the index of refraction of a plastic block. They have a laser pointer mounted on a protractor. The laser can be pivoted and the angle of incidence of the laser on the block can be measured. However, the laser beam is not visible inside the plastic block. Only the spots on the surface of the block where the laser enters and exits are visible.
(a) The rectangle below represents the plastic block. The laser beam enters at the dot on the top of the block and exits at the dot on the bottom. On the figure, indicate all the distance measurements needed to determine the index of refraction of the block. Justify why the measurements are useful to determine the index of refraction. You may add other lines to the figure to assist in your justification.
The students obtain the data in the table.
(b)
i. On the axes below, plot data that will allow determination of the index of refraction of the plastic from a best-fit line. Be sure to label and scale the axes. Draw a best-fit line that could represent the data.
ii. Determine the index of refraction from the graph.
(c) Blocks of plastic 1 and plastic 2, with indices of refraction n1 and n2, respectively, are placed in contact with each other. A laser beam in plastic 1 is incident on the boundary with plastic 2. Using the model of light as it crosses the boundary between the plastics, determine an expression for the ratio λ1/λ2 of the wavelengths of the light in the two plastics in terms of n1, n2, and physical constants as appropriate.

Answers

Answer 1

See diagram for distances needed: d1 = distance from laser entry point to top surface of block; d2 = thickness of block; d3 = distance from bottom surface of block to laser exit point.

Plot sin(θi) vs sin(θr) where θi is the angle of incidence and θr is the angle of refraction inside the plastic block. Label the y-axis as sin(θr) and the x-axis as sin(θi). ii. The index of refraction is equal to the slope of the best-fit line.  λ1/λ2 = n2/n1, where λ1 and λ2 are the wavelengths of light in plastic 1 and plastic 2, respectively. This expression follows from the assumption that the frequency of the light remains constant as it crosses the boundary between the two materials, which implies that the product of wavelength and frequency is constant. The ratio of wavelengths is therefore equal to the ratio of the indices of refraction, according to Snell's law.

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Related Questions

1. Regular reflection is the _______ reflection of light on a(n)______ surface
A.even, smooth
B.non or uneven, rough
C.semi-smooth, rough
D.uneven, rough​

Answers

Answer:

A. Even, smooth

Explanation:

In regular reflection, light reflected from a smooth surface in a definite direction

The answer Is A: even , smooth

According to Newton's second law equation, what is the relationship between net force applied and the acceleration of the object

Acceleration is inversely proportional to the net force

if acceleration goes up forces goes down

if acceleration goes down mass goes down

Acceleration is directly proportional to the net force

Answers

Answer:

Acceleration is directly proportional to the net force

Explanation:

The net force acting on an object is given by :

F = ma

Where

m is mass

and

a is acceleration

It can be seen that the relation between the net force and the acceleration is direct i.e. as the acceleration increases, the net force will increase. Hence, the correct option is (d).

1. We expect a conductor to be a constant voltage throughout. The conductive surface (silver marks) is mostly a constant voltage, but sometimes you may observe a millivolts-ish difference between different points on it. What does this mean about said conductive surface?

Answers

Answer:

Answer is explained in the explanation section below.

Explanation:

If the conductor has developed the potential difference. It simply means it is charged.

A conductor can be charged in different scenarios, let's discuss some of it and try to deduce the appropriate meaning for this question.

A conductor can be charged due to ions or

A conductor can be charged if it come across any current carrying conductor, so as to gain induced emf.

So, In both of these case, both can be very reasons for its potential difference.

explain budding (8marks)​

Answers

Answer: Budding is one of the methods of asexual reproduction in organisms.

Explanation:

The asexual reproduction is the process in which new organisms are produced from the parent organism without the formation of gametes. The budding is one of the methods of asexual reproduction in which from a mature organism a bud develops as an outgrowth. The bud obtains the nutrition from the parent organism and increase in size. On maturity the bud dissociate or detach from the parent organism and lives as separate individual organism. Budding can be seen in the case of Hydra, and Yeast.

compare the liquid pressure at the surface of a swimming pool and the bottom of the swimming pool

Answers

Answer:

The pressure difference is equal to the product of density , height and g

Given that h is height difference between bottom and surface of a pool

P  

b

​  

−P  

s

​  

=dgh

Density d of water is 1

So we get P  

b

​  

−P  

s

​  

=gh

Therefore option A is correct

Explanation:

plzzzzzzz help i need it

Answers

Answer:

1 diagram is a single element

2 diagram is a single compound

3 diagram is a mixture of element and compounds

The carbon atom with 12 protons and 12 electrons has a charge of:
a. 1 C
b. +12 C
c. -1 C
d. 0 C
e. -12 C

Answers

Answer:

Isotopes are the elements having the same atomic number i.e same number of protons which in turn is equal to same number of electrons. Number of protons and electrons are equal as the atom is electrically neutral. So, the only option is A.

I hope it helps you !

list 10 uses of metals​

Answers

Answer:

Shiny metals such as copper, silver, and gold are often used for decorative arts, jewelry, and coins.

Strong metals such as iron and metal alloys such as stainless steel are used to build structures, ships, and vehicles including cars, trains, and trucks.

Some metals have specific qualities that dictate their use. For example, copper is a good choice for wiring because it is particularly good at conducting electricity. Tungsten is used for the filaments of light bulbs because it glows white-hot without melting.

Nonmetals are plentiful and useful. These are among the most commonly used:

Oxygen, a gas, is absolutely essential to human life. Not only do we breathe it and use it for medical purposes, but we also use it as an important element in combustion.

Sulfur is valued for its medical properties and as an important ingredient in many chemical solutions. Sulfuric acid is an important tool for industry, used in batteries and manufacturing.

Chlorine is a powerful disinfectant. It is used to purify water for drinking and fill swimming pools.

Explanation:

pls help i’ll give brainliest if you give a correct answer!!

Answers

Normal force. Normal force is always present when there is contact between two items. Normal force is counteracting the gravitational force.

Explaining the incorrect answers:
-It’s not frictional force because friction only occurs when something is moving and also making contact. While there is contact in this scenario, the apple is not moving.
-There is no applied force; that would be something like a push.
-There is a gravitational force on the table, but it doesn’t keep the apple’s push in check. They are both pointed downwards, to the earth.

Hope this helps!

PLEASE HURRY
What does the investigation of Earth's layers reveal about the history of the
formation of our planet?

Answers

Answer:

there's a center of the earth..and there is every later of it..just like in a movie...it is true

Answer:

The layers of rock at Earth ’s surface contain evidence of the evolutionary processes undergone by these components of the terrestrial environment during the times at which each layer was formed. By studying this rock record from the very beginning, it is thus possible to trace their development and the resultant changes through time.

White light is an _____________ mixture of all the colors.
a) observable b) unequal c) equal

Answers

Answer:

unequal

Explanation:

White light is a combination of all colors in the color spectrum.

Answer: C) equal

If you use a glass prism, you can split white light into a rainbow which shows all of the colors along a spectrum. Each little color slice is the same width. In other words, something like green doesn't dominate the spectrum and take up a wider portion compared to other colors.

Which of the following correctly lists the parts of the water cycle?
Question 7 options:

Evaporation, condensation, temperature, precipitation, collection

Condensation, build-up, runoff, precipitation, collection

Runoff, precipitation, evaporation, melting, condensation

Evaporation, condensation, precipitation, runoff, collection

Answers

evaporation, condensation, precipitation, runoff, collection

12) Two-point charges each have a value of 3.0 C and 5.0 C and are separated by a distance of 6.0 m. What is the electric field at a point midway between the two charges?

Answers

Answer:

The electric field at a point midway between the two charges is 2 x 10⁹ N/C.

Explanation:

Given;

first point charge, Q₁ = 3.0 C

second point charge, Q₂ = 5.0 C

distance between the two point charges, R = 6.0 m

The mid-point between the two charges, r = R/2 = 3.0 m

3.0 C <-------------------->3.0m<----------------------->5.0 C

The forces are acting in opposite direction, the electric field strength of each charge is calculated as;

[tex]E_1 = \frac{kQ_1}{r^2} (-\bar x)\\\\E_1 = \frac{9\times 10^9 \times 3}{3^2}(-\bar x)[/tex]

[tex]E_2 = \frac{kQ_1}{r^2} (+\bar x)\\\\E_2 = \frac{9\times 10^9 \times 5}{3^2} (+\bar x)\\\\[/tex]

The net electric field is calculated as;

[tex]E_{net} = \frac{9\times 10^9 \times 5}{3^2} \ - \ \frac{9\times 10^9 \times 3}{3^2}\\\\E_{net} = \frac{9\times 10^9 }{3^2} (5-3)\\\\E_{net} = 2 \times 10^9 \ N/C[/tex]

Therefore, the electric field at a point midway between the two charges is 2 x 10⁹ N/C.

what is ionisation?​

Answers

Answer: Ionisation is the process of an atom gets a negative or a positive charge by gaining or losing electrons. The result is an ion.

Explanation: Thats why

DEFINE KINETIC ENERGY AND PATAINTIA ENERGY please​

Answers

Answer:

1. Kinetic energy is the energy possessed by a body due to its motion. Potential energy is the energy possessed by a body due to its position or state. Kinetic energy can be transferred from one object to another, in case of collisions. Potential energy cannot be transferred. Thus, the potential energy is stored in the object due to its position, whereas the kinetic energy is possessed by an object due to motion.

Eg: A ball kept on the edge of the table possesses potential energy due to its height, whereas a ball falling down from the table will possess kinetic energy due to its motion.

2. The formula for Kinetic energy is as below: This means that kinetic energy is directly proportional to mass as well as velocity. But it is proportional to 1 unit of mass and a square of velocity. Hence, velocity has a greater effect on kinetic energy.…show more content…

3. The equation for kinetic energy is: .

Let’s calculate the kinetic energy of a 40 kg object traveling 15 m/s.

Solution: mass= 40kg, velocity= 15 m/s, so putting these numbers into the kinetic energy equation,

Now, let’s calculate the kinetic energy of a 40 kg object traveling 30 m/s.

Solution: mass= 40kg, velocity= 30 m/s, so putting these numbers into the kinetic energy equation, Thus, when we double the velocity of an object, its kinetic energy increases by four times. Hence the velocity of an object has more impact on kinetic energy than the mass of an object.

Explanation:

(V) What are the objectives of the space mission?​

Answers

Explanation:

I hope this helps, I got this from another person

in which parts of a plant would u expect phototropism to occur?

Answers

Answer:

chloroplasts

Explanation:

Most plant shoots exhibit positive phototropism, and rearrange their chloroplasts in the leaves to maximize photosynthetic energy and promote growth.

Chloroplasts my guy

How do you know that Earth is affected by the gravitational pull of the sun ? Explain how you would be affected if you were able to safely move farther and farther away from Earth . Support your ideas

Answers

Answer:

The Sun's gravity pulls on the planets, just as Earth's gravity pulls down anything that is not held up by some other force and keeps you and me on the ground.

Explanation: Newton realized that the reason the planets orbit the Sun is related to why objects fall to Earth when we drop them. I am so sorry if I get this wrong, I'm in 5th grade! ♥

The Sun provides rotational motion to Earth by gravitational pull and if we get farther and farther, we will experience decreased gravitational force.

The Earth is continuously orbiting around the Sun, that is why we are experiencing the day and night everyday. And this orbiting is caused by the gravitational full by Sun on Earth, which is given as,

[tex]F = \dfrac{G \times M \times M'}{R^{2}}[/tex]

Here, G is the universal gravitational constant, M is the mass of Earth and M' is the mass of Sun. And R is the distance between the Earth and Sun.

If we suppose to move farther and farther away from the Earth then the strength of gravitational pull by Earth will decrease with the increasing distance. Because the gravitational pull is inversely proportional to square of distance.

Thus, we can conclude that the Sun provides rotational motion to Earth by gravitational pull and if we get farther and farther, we will experience decreased gravitational force.

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Bronco the skydiver, whose mass is 80 kg experiences 200 N of air resistance and gravity pulls on him with 800 N What is the acceleration of his fall?

Answers

H E R E I S T H E A N S W E R

Bronco the skydiver, whose mass is 80 kg experiences 200 N of air resistance and gravity pulls on him with 800 N. The acceleration of his fall  7.5 m/sec².

What is force?

A force is an effect that can alter an object's motion according to physics. An object with mass can change its velocity, or accelerate, as a result of a force. An obvious way to describe force is as a push or a pull. A force is a vector quantity since it has both magnitude and direction.

To find the acceleration,

   F = mg

   F = 80.(10)

   F = 800 N

   air resistance = 200 N

   Net force = F - air resistance

                = 800 - 200

                =  600 N

   600 = mass . acceleration

   600 = 80 . acceleration

   acceleration = 7.5 m/sec²

Bronco the skydiver, whose mass is 80 kg experiences 200 N of air resistance and gravity pulls on him with 800 N. The acceleration of his fall  7.5 m/sec².

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When the distance between two charges decreases, the electric force. 

Question 8 options:
A. Decrease
B. Only decreased if both charges are opposites
C. Increase
D. Only increase if both charges are positive

Answers

Answer:

Increase.

Explanation:

The force between two charges is given by :

[tex]F=\dfrac{kq_1q_2}{d^2}[/tex]

Where

k is electrostatic constant

d is the distance between two charges

The force is inversely proportional to the distance between charges. It means when the distance between two charges decreases, the electric force will increase. Hence, the correct option is (c) "increase".

Anyone who answer will get brainlest

Answers

Answer:

D

Explanation:

work = Force x distance

work = 2000 x 2 = 4000

power = work÷ time

4000/.8 = 5000W

Answer:

The answer is D 5000w

Explanation:

work = Force x distance

work = 2000 x 2 = 4000

power = work÷ time

4000/.8 = 5000W

plzzz answer with explnation!!!
the value of acceleration due to gravity (g) will be maximum at:
a) 1/2 of the radius of earth
b) 1/4 of the radius of earth
c) 1/8 of the radius of earth

Answers

Answer:

a. 1/2 of the radius of earth

Explanation:

g= GM/r²

thus g is inversely proportional to radius

This guy has the correct explanation but is correct. See my comment on the other post!

A soccer player strikes a soccer ball with a force of 550 N. If the player and the ball remain in contact for 0.03 s. What impulse was delivered to the ball by the player?

Answers

Easy my dude.
Impulse (J) is equal to the change in momentum of the ball. It is also equal to Force times Time:
J = Ft
J = (550 N)(0.03 s)
J = 16.5 Ns

Hope this helps! Please press “Thanks!”

is an increase in speed in a certain time .

a. Acceleration
b. ActionReaction Pairs
c. Force
d. Inertia

Answers

It's Acceleration

We can calculate the average speed by finding the total distance traveled divided by the elapsed time: Average speed=–s=Total distanceElapsed time. Average speed = s – = Total distance Elapsed time.

Acceleration is defined as
a.
a rate of displacement.
c.
the change in velocity.
b.
the rate of change of displacement.
d.
the rate of change of velocity.

Answers

D. The rate of change of velocity.

A = (Vf - vi)/t, therefore acceleration defines velocity at a RATE of change in time.

find the value of x in this figure ​

Answers

Answer:

x=50

Explanation:

Answer:

vertically opposite angles are equal

Explanation:

so

2x+30=3x-20

2x-3x= -20-30

-1x= -50

so x is 50

as minus gets cancelled both sides.

HOPE IT HELPS YOU

PLS MARK ME BRAINLIEST

Pls answer quick will mark brainlest and 5 stars

Answers

Answer:A

Explanation:

It’s bigger I am not sure

Answer:

For the first question, the answer is

B. Kettle

A turtle is walking across the garden at 2m/min.
How long will it take the turtle to travel 45 meters?

Answers

Answer:

22 mins and 30 seconds

Explanation:

2m in 1 min so:

45m in x mins Cross multiply

2x = 45

x = 45/2

x=22.5

please help with this question!!

Answers

Answer:

A.9.0 A

Explanation:

This is multiplication then add.

3*2+3=9.0

And that is how we get the answer.

do you weigh yourself regularly?what the things you do to adjust if your weight starts to slip upward or downward?​

Answers

Answer:

start a healthy diet. But starting a healthy diet doesn't mean only eating greens, you should minimize the amount of regular food you take and eat a balanced diet.

Weight is the measure of the mass of the body. Mass is the amount of matter a body contains.

Personally, I do weigh myself regularly in order to determine the action to take if the weight either slips upward or downwards.

If the weight slips upward, what I do is to reduce the amount of calorie intake and also exercise. Reduction in calorie intake and regular exercise can drastically reduce the weight of a body considerably.

If otherwise, I ensure I regularly consume a balanced diet and energy-giving foods.

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True or False ?What is the awnser to this question The resonant frequency of an rlc series circuit is 4.8 103 hz. if the self-inductance in the circuit is 5.3 mh, what is the capacitance in the circuit (in f)? you plan to cold work a cylindrical rod of 1040 steel from a diameter of 10mm to a diameter of 9mm in one step. what is the final yield strength Ignoring resonance, what is the formal charge on the nitrogen atom in the Lewis structure of nitrate ion (NO3-)?For your answer, type in a whole number (e.g. -1, 0, 1, 2, etc.). the size of a filter-drier is based on the following criteria, except _____.