Jade has a refractive index of 1.61. If light approaches the gem at an angle of 80.0°, what is the angle of refraction?

Calculate the index of refraction of a material if the angle of incidence is 60° and the angle of refraction is 50°

Answer using calculations & full work and thoughts shown.

Answers

Answer 1

From Snell's law,  the angle of refraction is 38 degree approximately and the index of refraction is 1.13

The given refractive index is 1.61

If light approaches the gem at an angle of 80.0°, that means the angle of incidence is 80.0°

To calculate the angle of refraction, we will use Snell's law which state that:

n = sin i / sin r

where n = refractive index

Substitute all the parameters into the formula

1.61 = sin 80 / sin r

make sin r the subject of formula

sin r = sin 80 / 1.61

sin r = 0.611

r = [tex]Sin^{-1}[/tex](0.611)

r = 37.7

r = 38 degree (Approximately)

We will use the same formula to calculate the index of refraction of a material if the angle of incidence is 60° and the angle of refraction is 50°. That is,

n = sin i / sin R

Where n = index of refraction

i = Incidence

R = refraction

Substitute all the parameters to the formula

n = sin 60 / sin 50

n = 0.866 / 0.766

n = 1.13

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Related Questions

Help me quickly! please!!!

A cable pulls a car up a mountain with a force of 4 × 103 N at a vertical constant velocity of 5 m.s-1. It takes 5 minutes to reach the top.

(a)How much work is done in getting the car to the top?
(b)How much work would have been done if the vertical speed was 2,5 m.s-1?
(c)Calculate the power exerted on the cable car in those 5 minutes.

Answers

Answer:

(a) 6,000,000J      

(b)  3,000,000J

(c)  For A 20,000W

But for B 10,000W

The work done in getting  the car to the top is equal to 6 ×10⁶ J. If the vertical speed is 2.5 m/s then, the work done will be  3 ×10⁶ J. The power exerted on the car is in 5 minutes is 20000 J/s.

What is work done ?

In physics, work done is the dot  product of force and displacement. Let w be the work done and F and ds be the force and displacement. Then

W = F.ds

It is given that the, the force of the cable is 4 × 10³ N. The velocity is 5 m/s and time is 5 minutes or 300 seconds. Now, the displacement is the product of time and velocity.

ds = velocity ×  time

    =  300 s ×  5 m/s

    = 1500 m.

Thus the work done = F × ds

                                  = 4 × 10³ N ×  1500 m

                                  = 6 ×10⁶ J .

If the velocity is reduced to half 2.5 m/s , then work done will be reduced to half as 3 ×10⁶ J.

Power is the rate of work done. Thus it is the ratio of work done to time. The power exerted on the car in 5 minutes = 6 ×10⁶ J /300s

                                                                        = 20000 J/s

Hence, the power exerted on the cable car in 5 minutes is 20000 J/s.

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discrete packets of kinetic energy in light are called

Answers

Answer:

Photons

Explanation:

I just know

Discrete packets of kinetic energy in light are called photons. Photons are fundamental particles of light and electromagnetic radiation. The correct answer is photons.

Photons are fundamental particles of light and electromagnetic radiation. They carry energy in discrete quantities, known as quanta or packets, and exhibit both wave-like and particle-like properties.

The energy of a photon is directly proportional to its frequency, and inversely proportional to its wavelength. When light interacts with matter, it can transfer its energy to the particles it interacts with, leading to various phenomena such as absorption, reflection, and emission.

Therefore, Discrete packets of kinetic energy in light are called photons.

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What is one effect of the uneven heating of Earth caused by the Sun?

options:

Rotation of Earth


Generation of wind


Oceans losing salt


Plants failing to grow

Answers

Answer:

The uneven heating results in some of the atmosphere to be warmer than other parts and changes in volume and pressure which result in updrafts and can cause thunderstorms and other violent weather.

Explanation:

Generation of wind

Daniel is 50.0 meters away from a building. He observes that his line-of-sight to the tip of the building makes an angle of 63.0° with the horizontal. What is the height of the building?

Answers

Answer:

willie tower

Explanation:

mataas kasi

What is a lol diagram.

Answers

Answer:

LOL Diagrams

a way to represent how the energy is stored in the chosen system during various snapshots and to represent any changes in total energy for the system. Each “L” represents how the energy is stored during a particular snapshot (instant). The “O” shows the objects inside and outside the system.

If anyone knows please anwser

Answers

Answer:

C.

Explanation:

Answer:

c. Radio and T.V. signals

c. How can you explain natural selection in evolution of insects from the time they evolved till our days now?

Answers

They have evolved by learning how to survive and adapt to their current habitat. They would have learned to protect themselves from predators.

plz help will mark brainliest ​

Answers

Explanation:

The rod can be in equilibrium only if the resultant force is 0 and the moment around any point of the rod must be equal to 0.

We have to take moments around the pivoted point.

Moment = Force × Perpendicular distance to the force

For the rod to be in equilibrium,

Clockwise moment - Anticlockwise moment = 0

Clockwise moment = Anticlockwise moment

The distance between pivoted point and the weight of rod = 50 cm - 30 cm = 20 cm

So 20 cm× 1.2 N produces a Clockwise moment

If Perpendicular distance between pivoted point and 2N load is x,

Anticlockwise moment = x × 2N

20 cm× 1.2N = 2N × x

x = 12 cm

So 2 N load is at 12 from the pivoted point.

From the left edge of the meter ruler, 2N load is at 30-12 cm distance

= 18 cm

Answer: 18 cm

Explanation:

solar power generates electricity from what source

Answers

Solar power generates electricity from the sun.

an electric generator has an 18-cm-diameter, 120-turn coil that rotates at 60 hz in a uniform magnetic field that is perpendicular to the rotation axis.

Answers

The magnetic field strength is needed to generate a peak voltage 0.15 T.

The given parameters;

diameter of the coil, d = 18 cmradius of the coil, r = 9 cmnumber of turns, N = 120 turnsfrequency, f = 60 HzPeak voltage, E = 170 V

The area of the coil is calculated as follows;

[tex]A = \pi r^2\\\\A = \pi \times 0.09^2\\\\A = 0.0255 \ m^2[/tex]

The maximum emf induced in the coil is calculated as follows;

[tex]E_{max} = NBA \omega \\\\B = \frac{E_{max}}{NA\omega } \\\\[/tex]

where;

B is the magnetic field strengthω is the angular frequency = 2πf

[tex]B = \frac{170 }{120 \times 0.025 \times 2\pi \times 60 } \\\\B = 0.15 \ T[/tex]

Thus, the magnetic field strength is needed to generate a peak voltage 0.15 T.

"Your question is not complete, it seems to be missing the following information";

An electric generator has an 18-cm-diameter, 120-turn coil that rotates at 60 hz in a uniform magnetic field that is perpendicular to the rotation axis.

What magnetic field strength is needed to generate a peak voltage of 170 V?

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What type of machine is used to measure the location of an earthquake epicenter.

Answers

Answer:

Seismometer

Explanation:

Seismometer measures Earth quake epicenter while seismograph measures Earth quake size

the definition of convetion

Answers

the defintion of convetion is ( the movement cuased within a fluid by the tendency of hotter and therefore less dense msterial to rise, and colder, denser material to sink under the influence of gravity

Can anyone help me with this question? I’ll give BRAINLIEST to whoever answers first

Answers

Answer:

a) F = 84.64N

b) The force has to increase.

Explanation:

First of all, let's convert everything to the same unit system:

Vo = 0 m/s    Vf = 98 mi/h * 1609.34 m / 1mi * 1h / 3600s = 43.8m/s

d = 1.7m         m = 0.15kg

We can calculate force as:

F = m*a    where a is the acceleration experiencd by the ball and m is its mass.

In order to calculate acceleration, we can use this formula:

   Solving for a:

Now, the force will be:

F = m * a = 84.6N

As we can see in that previous equation, the force is directly proportional to the mass of the ball, so, assuming the final speed of the ball is the same as before (that is, the acceleration is the same), the force will increase in the same proportion as the mass does.

1. Explain why the energy of photoelectrons in XPS depends on energy of x-ray source, while energy of Auger electrons does not.

Answers

Answer:

Only part of the incident energy from an X-ray source may be used by the ejected electron (some of the energy can be used by the exiting photo electron and some of the energy by the exiting photon).

Auger electrons depend on the energy difference between energy levels of an atom and are fixed - so the ejected electron will have a fixed energy depending on the difference of energy levels of the atom. The Auger effect is called a "radiationless" transition because no radiation is detected outside of the atom.

Compare the amplitude of these waves.

help?

Answers

Answer:

The greater the amplitude of a wave then the more energy it is carrying.

Explanation:

E is carrying the most energy which means that it has the highest amplitude

A has the least energy because it has the lowest amplitude

find the impulse of a 20.0 KG object accelerates to8.1 M/S from 2.3 M/S

Answers

Answer:

116 N•s

Explanation:

change in momentum = mvf-mvi

= m(Vf - Vi)

= 20( 8.1-2.3)

change in momentum= 116 kg•m/s

: .impulse is 116 N•s

what do u guys think of my drawing?

Answers

Answer: yess sirrrrrrrr

Explanation:

Answer:

oou I like it! u did a good job ^^

I NEED THIS BY TODAY DDD:

Answers

Answer:

I can't see the picture, can you right down the same thing that is the picture in the comments so I can help you.

Explanation:

Thx.

5 a
What causes the pressure of air at the Earth's surface?

Answers

Answer:

Atmospheric pressure is caused by the gravitational attraction of the planet on the atmospheric gases above the surface and is a function of the mass of the planet, the radius of the surface, and the amount and composition of the gases and their vertical distribution in the atmosphere

Explanation:

4. symbol for the gravitational force ?

Answers

Answer: G

Explanation:

One g is the force per unit mass due to gravity at the Earth's surface and is the standard gravity (symbol: gn), defined as 9.80665 metres per second squared, or equivalently 9.80665 newtons of force per kilogram of mass.

how fast should a girl 35kg Run so that her kinetic energy becomes 700 J?​

Answers

I think the answer is 4 m/s

what is cheetah speed and strength?

Answers

Answer:

Speed: 109.4–120.7 km/h (68.0–75.0 mph)

Strength: Couldn't find out.

Explanation:

What is the frequency of light having a wavelength of 4. 50 x 10-6 cm.

Answers

The frequency of a photon of red light with wavelength 4.50 x 10−7m is 6.67 x 1014Hz.

If an automobile slows from 26 m/s to 18 m/s in a period of 4.0 s, what was the average acceleration?

Answers

Answer: -2m/s²

Explanation:

Each second, the acceleration decreases of 2m/s²

N.B.: in physics, deceleration is also acceleration.

30 POINTS!!! CAN U AWNSER IT?? :)
A space ship is cruising at 2,500.0 km/hr with the engines off. The engines fire for 8.00s
with a thrust of 45,450 N, bringing the ship up to its new speed of 2,750 km/hr. What is the mass of the ship? GOOD LUCK :)

Answers

Answer:

5235.84 kg

Explanation:

There is one theorem - whose proof I will never remember without having to drag calculus in there - that says that the variation of momentum is equal to the force applied times the time the application last.

[tex]F\Delta t = m \Delta v[/tex] As long as the engine isn't ejecting mass - at this point it's a whole new can of worm - we know the force, we know the variation in speed, time to find the mass. But first, let's convert the variation of speed in meters per second. The ship gains 250 kmh, [tex]\Delta v = 69.4 m/s[/tex];

[tex]45 450 \cdot 8 = 69.4 m \rightarrow m = \frac{45450\cdot 8}{69.4} = 5235.84 kg[/tex]

2. All objects contain both what and what charges.

Answers

Answer:

All objects are composed of these atoms. ... Charged objects have an imbalance of charge - either more negative electrons than positive protons or vice versa. And neutral objects have a balance of charge - equal numbers of protons and electrons.

Explanation:

a car is moving due south for 4hr and covered a distance of 144km what is the velocity of the car?​

Answers

Answer:

velocity ,V=?,T=4hr,Distance ,144km,

V=distance divide by time

=144/4=36km/hr

Explain why the 4th state of matter would and would NOT make an acceptable force field.

Answers

The 4th state of matter would make an acceptable force field.

The 4th state of matter which is plasma would make an acceptable force field because this fourth state of matter is present in ionized form which has two charges on it i.e. cation which is a positive charge and anion which is a negative charge.

We know that charges attract as well repel other objects if they are strong enough. Positive charge repel positive charge but attract negative charge so we can conclude that 4th state of matter would make an acceptable force field.

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A mass 25kg is attached to a spring which is held stretched a distance 120 cm by a force F=300N (Fig. 7-28), and then released. The spring compresses, pulling the mass. Assuming there is no friction, determine the speed of the mass m when the spring returns: (a) to its normal length (x = 0). (b)find the spring constant k?

Answers

Explanation:

Spring is stretched by force f to distance

"X"

now here by force balance we can say

f = kx

k = !

now here we will we say that energy stored in the spring will convert into kinetic energy

kx² = mv²

(x² = mv²

now solving above equation we will have

PART 2)

now for half of the extension again we can use energy conservation

ka²-k(x/2)² = 1 {mv²

¾fx=mv²

now the speed is given as

3 fr 4m V=

1. A race car accelerated from rest to 34.7 m/s by the time it crossed the finish line. The race car moved in a straight line and traveled from the starting line to the finish line in 7.81 seconds. What was the acceleration of the race car?​

Answers

Answer: 4.44302176697 m/s^2

Explanation:

formula for acceleration is (final velocity - initial velocity)/time.   So in your case:

(34.7m/s - 0m/s)/ 7.81s  = 4.44302176697 m/s^2

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