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 \(\frac{n_2}{n_1}\)

the index of refraction of the diamond is tabulated

       n₁ = 2.419

let's calculate

          θ_c = sin⁻¹ (\(\frac{1}{2.419}\))

         θ_c = 24.4º


Related Questions

Ramu,the gardener,is trying to pull out weeds. however,he has to apply great force.why do you think he has to apply to much force?

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Answer:

Roots are basically hooked into the ground?

Explanation:

Maybe you could comment here the choices if it's multiple choice.

Write the specific heat capacity of iron

Answers

Answer:

0.451

Explanation:

Which of the indicated protons in the molecules below would absorb furthest downfield in a 'H NMR spectrum? og er of los II III IV O IV

Answers

 

The protons in molecules II and IV are expected to absorb furthest downfield in a ¹H NMR spectrum due to the presence of electron-withdrawing groups (-C=O and -NO₂, respectively).

To determine the proton that would absorb the furthest downfield in a ¹H NMR spectrum, we need to consider the factors that influence chemical shift.

Chemical shift is influenced by the electron density around the proton being observed. The presence of electron-withdrawing groups or deshielding effects can lead to a higher chemical shift value, resulting in absorption further downfield (to the left) in the NMR spectrum.

Let's analyze the indicated protons in each molecule:

I: There is no specified molecule given for I.

II: In this molecule, we need to consider the electron-withdrawing effect of the carbonyl group (-C=O). The proton indicated is adjacent to the carbonyl group, and the deshielding effect of the oxygen atom makes this proton likely to absorb further downfield.

III: In this molecule, there is no specified group or functional group mentioned for III.

IV: In this molecule, we need to consider the deshielding effect of the nitro group (-NO₂). The proton indicated is adjacent to the nitro group, and the electron-withdrawing nature of the nitro group makes this proton likely to absorb furthest downfield.

O: There is no specified molecule given for O.

Based on the analysis, the protons in molecules II and IV are expected to absorb furthest downfield in a ¹H NMR spectrum due to the presence of electron-withdrawing groups (-C=O and -NO₂, respectively).

Please note that without the full structures of the molecules or additional information, it is difficult to provide a definitive answer. The presence of other functional groups or steric effects can also influence the chemical shifts.

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If you get too many fouls, you may not be able to play in the rest of the game.
A. True
B. False

Answers

Answer:

In the NBA that's true

True!!! Djsshsnnebsbss. Ssnsnsnsndbdeb

A 0. 20-kg baseball is struck with a force of 100 n from a 0. 94-kg baseball bat. What will be the acceleration of the ball and the bat, in that order, while the bat and ball are in contact?.

Answers

The acceleration of the baseball is 500 m/s².

A force is an influence that has the power to alter an object's motion. 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.

The mass of the baseball, m = 0.2 kg

The force acting on the baseball is 100 N.

By Newton's second law of motion,

F = ma

Substituting the values in the above equation,

100 N = 0.2 kg × a

a = 100 / 0.2

a = 500 m/s²

The total mass when the baseball and baseball bat are in contact is:

m = 0.2 + 0.94 = 1.14 kg

Then the acceleration will be:

F = ma

100 = 1.14 × a

a = 87.7 m/s²

The acceleration of the ball after the contact is 500 m/s².

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What is meant by the permittivity of free space?

Answers

The permittivity of free space is a fundamental physical constant that describes the ability of a vacuum or free space to permit the passage of electric fields.

The permittivity of free space, often denoted as ε₀ (pronounced "epsilon naught"), is a fundamental physical constant that describes the ability of a vacuum or free space to permit the passage of electric fields. In other words, it is the measure of the resistance that free space offers to the formation of an electric field.

It is a fundamental constant of nature and is one of the defining values of the International System of Units (SI). Its value is approximately 8.85 x 10⁻¹² farads per meter (F/m).

The permittivity of free space plays a crucial role in the study of electromagnetism, and it is used in various equations and formulas that describe the behavior of electric fields, such as Coulomb's law, Gauss's law, and the capacitance of a capacitor. It also helps to determine the speed of electromagnetic waves in free space, which is the speed of light.

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You push a box 3.5 m across the floor with a constant force of 12.4 N. How much work do you do on the box?

Answers

Answer:

43.4 N (newton)

1) T or F... The universe has always existed the way that it is now.

True
False

Answers

Answer:

False the universe has not always existed the way it does now.

Explanation:

Answer: False

Explanation: The Universe continues to expand even today, growing at a rate of 6.5 light-years in all directions per year as time goes on.

Assume that a vaulter is able to carry a vaulting pole while running as fast
as Carl Lewis in his world record 100-m dash (around 12 m/s). Also assume
that all of the vaulter's kinetic energy is transformed into gravitational
potential energy. What vaulting height could that person attain?
(Hint: Use the equation 5 mu? = mgh.)

Answers

Answer:

5mu = carry a vaulting pole ( 12 m/s) Also

fast

All the vaulter's kinetic energy is transformed into gravitational potential energy. 7.35m is the that person's height.

What is kinetic energy ?

Kinetic energy is the energy that an object has as a result of its movement. If we want to accelerate an object, we must apply force to it. Using force requires us to put in effort. After work is completed, energy is transferred to the object, and the object moves at a new constant speed.

The two most important factors influencing kinetic energy are mass and speed. Because an object's motion is determined by its velocity as well as its mass, though velocity is th

Given:

v = 12m/s

g = 9.8 m/s²

Kinetic energy = potential energy

K.E = P.E

1/2 mv² = mgH

H = v² /2g

H = 7.35m

Thus, 7.35m is the that person's height.

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Why does it take double the applied force to move a mass double the size?
Explain this in terms of inertia,

Answers

56-999999999999999999999-4 is the best for my mom

A 100 meter dash was held with 20 contestants. The best time was 10.7 seconds, and the worst time was 15.3 seconds. Only the fastest 10 contestants advance to the final race.

Which measure of central tendency should be used to calculate the cutoff time for the final race?
A.
range
B.
mode
C.
median
D.
mean

Answers

The measure of central tendency that should be used to calculate the cutoff time for the final race is the median.

Option C.

What is median?

The median is the middle point in a dataset—half of the data points are smaller than the median and half of the data points are larger.

To find the median: Arrange the data points from smallest to largest. If the number of data points is odd, the median is the middle data point in the list.

So from the given data of the 100 meter dash, the measure of central tendency that should be used to calculate the cutoff time for the final race is the median.

The median will help to separate half of the data points that are smaller than the cutoff time and half of the data points are larger than the cutoff time.

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If medium 1 is glass, could medium 2 be zircon? Explain your answer with reference to index of refraction.

If medium 1 is glass, could medium 2 be zircon? Explain your answer with reference to index of refraction.

Answers

Answer:

So the answer would be no, because the medium 1 value must be greater than the value of medium 2.

Explanation:

The value of n1 must be greater than the value of n2.

Medium 1 - Index of Refraction (n1): 1.52  

Medium 2 - Index of Refraction (n2): 1.92

I think that is correct

Tell some types of light rays?

Answers

Answer: microwaves, infrared light, ultraviolet light, X-rays and gamma-rays

Hopes this helps!

Red light

Orange light

Green light

Violet light

Laser light

Bright light

Dim light

Sun light

An object is placed 2.5 cm away from a converging lens with a focal length of 1.5 cm

Answers

Answer:

The correct answer is "-1.5 cm".

Explanation:

The given values are:

Object is placed,

u = 2.5 cm

Focal length,

f = 1.5 cm

On applying the lens formula, we get

⇒ \(\frac{1}{u} +\frac{1}{v} =\frac{1}{f}\)

or,

⇒ \(\frac{1}{v} =\frac{1}{u} -\frac{1}{f}\)

On substituting the given values, we get

⇒    \(=\frac{1}{2.5} -\frac{1}{1.5}\)

⇒    \(=\frac{1.5-2.5}{3.75}\)

⇒    \(=\frac{-1}{3.75}\)

⇒ \(v=-3.75 \ cm\)

As we know,

Magnification, \(m=\frac{v}{u}\)

On substituting the values, we get

⇒                           \(=\frac{-3.75}{2.5}\)

⇒                           \(=-1.5 \ cm\)

Two identically-sized metal spheres on insulating
stands are positioned as shown below. The
charge on sphere A is −4.0 × 10−6 coulomb and
the charge on sphere B is −8.0 × 10−6 coulomb.
The two spheres are touched together and then
separated. The total number of excess electrons
on sphere A after the separation is

Answers

Answer:

-6 x 10^-6  C

Explanation:

The two spheres will equilibrate to the same charge on each

 -6 x 10^-6 C

The two spheres are touched together and then separated. The total number of excess electrons on sphere A is 3.75×10¹³ electrons after the separation.

What is electric charge ?

Electric charge is the physical property of matter that experiences force when it is placed in electric field. F = qE where q is amount of charge, E = electric field and F = is force experienced by the charge. there are two types of charges, positive charge and negative charge which are generally carried by proton and electron resp. like charges repel each other and unlike charges attract each other. the flow charges is called as current. Elementary charge is amount of charge a electron is having, whose value is 1.602 x 10⁻¹⁹ C.

When the spheres touch together, they obtain equal charges. Since the spheres are same in dimension, they obtain equal charges.

Given,

q₁ = −4.0 × 10⁻⁶ C

q₂ = −8.0 × 10⁻⁶ C

q₁ + q₂ = −4.0 × 10⁻⁶ C + −8.0 × 10⁻⁶ C = -12.0 × 10⁻⁶ C

When two charged spheres touch together, they will have equal amount of charge. Means there attain equilibrium of charge.

Hence each charged sphere will have -6.0 × 10⁻⁶ C  of charge.

The number of excess electrons on both the spheres will be,

(6.0 × 10⁻⁶ C) ÷ (1.6 × 10⁻¹⁹C) = 3.75 × 10¹³

The number 1.6 × 10⁻¹⁹C is called as Elementary charge.

Hence the number of excess electrons on Sphere A is 3.75 × 10¹³.

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When floating a ping-pong ball with a hairdryer, which two forces are balanced?

Force pushing up:

Force pulling down:

Answers

The force of gravity which is pushing the ping pong ball downwards.

The force of air that’s coming from hairdryer which is pushing ping pong ball upwards.

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The following data were collected during a short race between two friends. Velocity (m/s) 0 0.5 1 1.5 2 2 4 6 2 0 Time (s) 0 2 4 6 8 10 12 14 16 18 a) Describe the different sections of the graph. b) Determine the acceleration over the first eight seconds. c) Determine the maximum acceleration. d) Using the graph calculate the displacement: i) over the first eight seconds ii) the total race. e) Find the maximum velocity reached by the runner.

Answers

The characteristics of the kinematics allow to find the results for the questions about the movement of the body are:

a)  we have four sections;

0 to 8 s The body is accelerating. 8 to 10 s The body goes at a constant speed, the acceleration is zero. 10 to 14 Body accelerating. 14 to 18 Body slowing down.

b)  The acceleration is the first 8 s is:  a = 0.25 m / s²

c) The maximum acceleration is:    a = 1 m / s²

d) The displacement   is:  i) d₁ =  8m,     ii)  \(d_{total}\)= 16 m

e) maximum speed  is:      v = 6 m / s

Kinematics studies the movement of bodies by finding relationships between the position, speed and acceleration of bodies.

        v = v₀ + a t

        y = v₀ t + ½ a t²

where v and v₀ is the current and initial velocity, respectively, a is the acceleration and t is time.

In many circumstances graphs are made for their analysis, in a graph of speed versus time when we have a horizontal line the speed is constant, the acceleration is zero and in the case of a slope there is an acceleration, we have two cases:

Positive slope the body is accelerating and the speed is increasing. Negative slope the body is stopping, the speed decreases.

Let's answer the different questions about the system.

a) in the attached we have a graph of the velocity versus time, each section corresponds to a change in the slope of the graph, we have four sections;

0 to 8 s The body is accelerating. 8 to 10 s The body goes at a constant speed, the acceleration is zero. 10 to 14 Body accelerating. 14 to 18 Body slowing down.

b) The acceleration is the first 8 s

          v = v₀ + a t

          \(a = \frac{v-v_o}{\Delta t}\)  

          \(a = \frac{2-0}{8-0}\)  

          a = 0.25 m / s²

c) The maximum acceleration is when the slope is maximum.

          \(a = \frac{6-2}{ 14-10}\)  

          a = 1 m / s²

Therefore the acceleration is maximum in the section between 10 and 14 s

d) The total displacement is the sum of the displacements of each section.

         \(d_{total } = d_1 +d_2 + d_3 +d_4\)  

We look for every displacement.

       d₁ = v₀ + ½ a₁ Δt²

       d₁ = 0 + ½ 0.25 8²

       d₁ = 8 m

In the second section the velocity is constant

         d₂ = v₂ Δt₂

         d₂ = 2 (10-8)

         d₂ = 4 m

The third section.

    d₃ = v₀ + ½ a t²

    d₃ = 2 + ½ 1 (14-10) ²

    d₃ = 10 m

The distance of the fourth section.

       

we look for acceleration

          a₄ = \(\frac{v-v_o}{\Delta t}\)  

          a₄ = \(\frac{0-6}{18-14}\)  

          a₄ = -1.5 m / s²

     

          d₄ = 6 + ½ (-1.5) (1814) ²

          d₄ = -6 m

The total displacement is;

          \(d_{total}\) = 8 + 4 + 10 -6

          \(d_{total}\) = 16 m

e) The maximum speed is the highest point in the graph of speed versus time that in the attachment we can see corresponds to

          v = 6 m / s

In conclusion using the characteristics of kinematics we can find the results for the questions about the motion of bodies are:

  a)  we have four sections;

0 to 8 s The body is accelerating. 8 to 10 s The body goes at a constant speed, the acceleration is zero. 10 to 14 Body accelerating. 14 to 18 Body slowing down.

b)  The acceleration is the first 8 s is:  a = 0.25 m / s²

c) The maximum acceleration is:    a = 1 m / s²

d) The displacement   is:  i) d₁ =  8m,     ii)  \(d_{total}\)= 16 m

e) maximum speed  is:      v = 6 m / s

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The following data were collected during a short race between two friends. Velocity (m/s) 0 0.5 1 1.5

Lightning bolts can carry currents up to approximately 20 kA. We can model such a current as the equivalent of a very long, straight wire.
(a) If you were unfortunate enough to be 5.1 m away from such a lightning bolt, how large a magnetic field would you experience?
(b)How does this field compare to one you would experience by being 5.1 cm from a long, straight household current of 5 A?

Answers

(a) The magnetic field will be 8.49 x 10⁻⁴T

(b) The field is mild in comparison to the one we experienced at 5.1 cm away.

When magnetic field changes with time then it will induce electric field in a closed loop.

A magnetic field is a vector field that describes the magnetic influence on moving electric charges, electric currents, and magnetic materials. It exists the area around a magnet in which the effect of magnetism exists felt.

I = 20KA = 20,000A

r = 5.1 m

how large a magnetic field would you experience =  u.I/2πr

how large a magnetic field would you experience = (4π x10⁻⁷) × 20000/2π × 5.1

Therefore, the magnetic field experienced will be 8.49 x 10⁻⁴T.

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name 1 newton’s law and explain how airbags/seatbelts are important in saving lives.

Answers

One of Newton's laws is the law of inertia, which states that an object at rest will remain at rest, and an object in motion will remain in motion unless acted upon by an external force.                                                                                                                          

Airbags and seatbelts are important in saving lives because they act as the external force that can stop the motion of an object  in the event of a collision. Without these safety measures, the body would continue to move forward at the same speed as the vehicle, causing serious injuries or even death upon impact. By quickly inflating and creating a cushion, airbags reduce the force of impact and prevent the head and chest from hitting hard surfaces inside the car. Seatbelts, on the other hand, prevent passengers from being thrown out of the car or hitting the dashboard or windshield.
Seatbelts restrain this motion, while airbags provide a cushion to reduce the impact force. Both safety features work together to prevent injuries and save lives.

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A ball with an initial velocity of 2 m/s rolls for a period of 3 seconds. If the ball is uniformly accelerating at a rate of 3 m/s2, what will be the ball’s final velocity?

Answers

Answer: 11 m/s

vinitial=2 m/s

time=3 s

acceleration = 3 m/s^2

vfinal = ?

The key here is that it is a constant acceleration, so we can use the constant acceleration equations. The easiest one to use would be:

vfinal=vinitial + a*t

We need vfinal, so algebraically we are ready to put in numbers into the equation:

vfinal=vinitial + a*t = 2 m/s + (3 m/s^2)*(3 s ) = 11 m/s is the final velocity

The ball's final velocity is 11 m/s

From one of equations of kinematics for linear motion

We have that

v = u + at

Where v is the final velocity

u is the initial velocity

a is the acceleration

and t is the time

From the given information in the question

u = 2 m/s

t = 3 secs

a = 3 m/s²

Putting these parameters into the above formula

v = u + at

We get

v = 2 + (3×3)

v = 2 + 9

v = 11 m/s

Hence, the ball's final velocity is 11 m/s

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Part 1: How many "pathways" are in this circuit?
Part 2: Therefore, is this a series or parallel circuit?

Part 1: Zero pathways
Part 1: One pathway
Part 1: Two pathways
Part 1: Three pathways
Part 1: Four pathways
Part 1: Five pathways
Part 2: Series circuit
Part 2: Parallel circuit

Part 1: How many "pathways" are in this circuit?Part 2: Therefore, is this a series or parallel circuit?Part

Answers

Part 1: The number of pathways in a circuit determines the possible routes for electric current to flow.

There are maximum of five pathways in this circuit, depending on its complexity and the arrangement of components.

Part 2: Determining whether the circuit is series or parallel requires more information.

In a series circuit, components are connected in a single path, and the current flows through each component sequentially.

If the circuit has only one pathway (zero or one pathway), it suggests a series circuit.

However, if the circuit has multiple pathways (two or more pathways), it indicates a parallel circuit.

To conclusively determine the circuit's nature, we need to analyze the circuit diagram or obtain additional details regarding the component connections and their interactions.

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Design your own F= ma problem for another group to solve.

Answers

Here is a problem.

Problem:-

A car of mass 1700kg accelerated with a rate of 17m/s^2. find the force applied on it.

Extra:-

F=ma is. the famous formula of Sir Eizak Newton

Calculate the net force on particle q₁.First, find the direction of the force particle q2 isexerting on particle q₁. Is it pushing to the right (+),or to the left (-)?

Calculate the net force on particle q.First, find the direction of the force particle q2 isexerting on

Answers

All we need to do in order to find out the direction is to take into account the sign of the charge. As they are both positive, the particles will repel each other, which can be seen on the following drawing:

Thus, particle q2 will try to push particle q1 to the left

The answer is: -

Calculate the net force on particle q.First, find the direction of the force particle q2 isexerting on

¿Qué es la carga eléctrica de un cuerpo?

Answers

Answer:

Las células del interior son negativas, mientras que en el exterior son positivas.

Explanation:

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A device that measures absolute air pressure is called a a.manometer b. barometer c. thermometer d. tire gauge

Answers

Weather forecasts are made using barometers. An air pressure gauge, or barometer When the barometer reads "rising," the air pressure is rising; when it reads "falling," the air pressure is lowering.

What does barometric mean?

Barometric pressure, to put it simply, is the measurement of air pressure in the atmosphere, more particularly, the measurement of the weight exerted by air molecules at a certain location on Earth.

The usage of a barometer:

barometer, a tool for calculating atmospheric pressure. A barometer may also be used to determine height since air pressure varies with elevation above or below sea level. Mercury and aneroid barometers are the two primary varieties.

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How does the number of wire coils on an electromagnet affect the strength of magnetic force

PLS HELP

Answers

Answer:

This means that the strength of the magnet increases with increasing number of turns in the coil.

Explanation: We can say that, the strength of the electromagnet is directly proportional to the number of turns in the coil. If you double the number of turns, you double the strength of the electromagnet.

What decibel level can cause hearing damage to begin

Answers

Answer: Noise above 70 dB can cause hearing damage

Explanation:

Answer:

The decibel level that starts to have hearing damage is 120 dB.

Explanation:

If you move two objects with opposite charges apart, what happens to the potential energy between them? Explain your response.

Answers

I have read it in the ncert science book

That any material charged with the same energy they repels each other while if they have opposite energy they attracts each other.

Hope it helps.

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An object moves in a circular path at a constant speed. What is the direction of the net force acting on the object?.

Answers

Answer:

The net force is directed toward the center of the circular path.

A boat moves 3. 0 km due north and then moves 1. 0 km due south. The time for this trip is half an hour. What is the average velocity of the boat?.

Answers

The average velocity of the boat is -2.0 km/h, which means the boat was moving southward. Given, Distance moved due north, d₁ = 3.0 km and Distance moved due south, d₂ = 1.0 km.

Time taken to complete the trip, t = 1/2 h

We know that the average velocity of an object is given by the ratio of the total displacement to the total time taken to cover that displacement.

Mathematically, the average velocity is given as : v = (d₂ - d₁) / t

Where, v is the average velocity, d₁ and d₂ are the distances moved in the opposite direction

t is the time taken to cover the entire distance

Now, substituting the given values in the above formula, we get:

v = (1.0 km - 3.0 km) / (1/2 h)

= -2.0 km/h

Thus, the average velocity of the boat is -2.0 km/h, which means the boat was moving southward.

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