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 plz

Stop and go traffic means a lot of opportunities for acceleration. This assignment looks at a typical experience of a car in typical rush hour traffic. Calculate the different accelerations from the graph, interpret what your answers mean and show you really understand acceleration.

A car traveled through rush hour traffic in a city. There was a lot of starting and stopping. The graph below shows the motion of the car for a 16 second interval of time.
Explain what is going on between point B and C in terms of velocity and acceleration.

Velocity:

Acceleration:

Answers

-In terms of velocity it remains constant at 7 m/s for 4 hours (time between b and c)

- in terms of acceleration, there is no acceleration. When something has constant velocity there is 0 acceleration

if the velocity of gas molecules is doubled the its kinetic energy will be

Answers

Answer: Quadrupled

Explanation:

Because when it’s doubled they are going to make another pair so 2+2=4


Why does the blue force have a negative sign?
-20 N
50 N
Because 50 is smaller than 20
Because 20 is smaller than 50
Because it is pointing to the left
Because it is blue

Answers

it’s B (because 20 Is smaller than 50)

What is the mass (in kg) of an object which accelerates at 3 m/s^2 when acted upon by a 15 N force?

Answers

Question :-

What is the mass (in kg) of an object which accelerates at 3 m/s^2 when acted upon by a 15 N force?

Required Solution :-

The mass of the object is 5 kg.

Provided that :-

The force applied on object is 15 N The acceleration is 3 m/s²

To Calculate :-

Mass of the body

Using Formula :-

Force = Mass × Acceleration

Calculation :-

[tex]\purple{\longrightarrow \sf Force = Mass \times Acceleration}[/tex]

[tex] \longrightarrow \sf Mass = \dfrac{Force}{Acceleration }[/tex]

[tex]\longrightarrow \sf Mass = \dfrac{15}{3}[/tex]

[tex]\longrightarrow \sf Mass = \cancel{\dfrac{15}{3}} [/tex]

[tex]\longrightarrow {\pink{\underline{\underline{\sf{ Mass = 5 \: Kg }}}}}[/tex]

Henceforth :-

The mass of the object is 5 kg.

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28
If it takes 1,697 m to stop a car initially moving at 46 m/s, what distance is required to stop a car moving at a quarter
of the initial speed under the same conditions?

Answers

Answer:

Approximately [tex]106\; \rm m[/tex], [tex](1/16)[/tex] of the original distance, assuming that the acceleration is constant.

Explanation:

Let [tex]v[/tex] and [tex]u[/tex] denote the final and initial velocity of the vehicle ([tex]v = 0\; \rm m \cdot s^{-1}[/tex] since this vehicle has come to a stop.)Let [tex]a[/tex] denote the acceleration of the vehicle (a constant under the assumption.) Let [tex]x[/tex] denote the displacement of the vehicle.

If the acceleration on this vehicle is constant, the SUVAT equations would apply:

[tex]\displaystyle v^{2} - u^{2} = 2\, a\, x[/tex].

Rearrange this equation to find an expression for [tex]x[/tex], the displacement required for the vehicle to come to a stop:

[tex]\begin{aligned} x &= \frac{v^{2} - u^{2}}{2\, a} \\ &= \frac{-u^{2}}{2\, a} && (\text{$v = 0\; \rm m \cdot s^{-1}$})\end{aligned}[/tex].

Thus, under these assumptions, [tex]x[/tex] would be proportional to [tex]u^{2}[/tex]. In other words, the distance required for this vehicle to come to a stop would be proportional to the square of the initial velocity of this vehicle.

If the initial velocity [tex]u[/tex] is reduced to [tex](1/4)[/tex] (a quarter) of the initial value, the distance required for stopping this vehicle would be [tex](1/4)^{2} = (1/16)[/tex] of the initial value:

[tex]\begin{aligned}1,\!697\; {\rm m} \times \frac{1}{16} \approx 106\; \rm m\end{aligned}[/tex].

How to find velocity from acceleration time graph.

Answers

Answer:

We can only find the change in velocity by the area under the acceleration time graph by calculating the area under the curve to the given time. Then by the formula of the difference in the final and initial velocity you can find the final velocity of the object in the given time period.

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

Every atom contains a
.............. which is positively charged

Answers

Answer:

Proton

Explanation:

The nucleus has an overall positive charge as it contains the protons. Every atom has no overall charge (neutral). This is because they contain equal numbers of positive protons and negative electrons.

The half life of carbon-14 is 5730 years. How old is a bone if it presently contains 0.3125 g of carbon-14, but it was estimated to have originally contained 80 g of carbon-14?

Answers

The age of the bone is 45840 years.

We'll begin by calculating the number of half-lives that has elapsed.

Amount remaining (N) = 0.3125 g

Initial amount (N₀) = 80 g

Number of half-lives (n) =?

N × 2ⁿ = N₀

0.3125 × 2ⁿ = 80

Divide both side by 0.3125

2ⁿ = 80 / 0.3125

2ⁿ = 256

2ⁿ = 2⁸

n = 8

Thus, 8 half-lives has elapsed

Finally, we shall determine the age of the bone.

Half-life (t½) = 5730 years

Number of half-lives (n) = 8

Time (t) =?

t = n × t½

t = 8 × 5730

t = 45840 years

Therefore, the age of the bone is 45840 years.

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explain the production of current with the help of a magnet and describe which device works on this phenomena

Answers

Answer:

Explanation:

The properties of magnets are used to make electricity. Moving magnetic fields pull and push electrons. ... Moving a magnet around a coil of wire, or moving a coil of wire around a magnet, pushes the electrons in the wire and creates an electrical current.

Propose a hypothesis for how the position of the ball will affect the amount of its gravitational pull energy

Answers

throwing a ball up initially has a lot of kinetic energy because it is moving upwards ( kinetic energy is energy which a body possesses by virtue of being in motion.) this all then get converted to gravitational potential energy, and for a moment it is stationary before it begins to fall again.  by the time it has returned again, all the gravitational potential energy has turned back into kinetic.

Evidence of liquid water in mars' distant past suggests that it had a substantial atmosphere compared to what it has presently. What happened to its water vapor?.

Answers

Answer:

The atmosphere has frozen out into the polar ice caps and permafrost as Mars has cooled.

Explanation: Good luck box BrokenTag27

What factors determine climate?

Answers

Answer:

here

Explanation:

Climate is determined by the temperature and precipitation characteristics of a region over time. The temperature characteristics of a region are influenced by natural factors such as latitude, elevation and the presence of ocean currents.

A narrow slit is illuminated with sodium yellow light of wavelength 598 nm. If the central maximum extends to latex: \pm30^\circ± 30 â, how wide is the slit?.

Answers

Answer:

because of the gravity of the earth

please help me solve all of them ( a, b, c and d ) thankiew !!
I’m also kind of in a rush

Answers

Answer:

a-

V= IR

9V = I ×( 12+6)

I = 9/ 18 A = 0.5 A

b

V=IR

240 = 6 A ×( 20 + R)

40 = 20 + R

R = 20 ohm

c

resultant resistance of the 2 parallel resistances= Ro

1/Ro = 1/ 5 + 1/ 20

1/Ro =( 20+5)/100

= 1/Ro = 1/4

Ro= 4 ohm

V=IR

V = 2A × ( 1+ 4 OHM)

V = 10V

d

equivalent resistance = Ro

1/Ro = 1/(2+8) + 1/(5+5)

1/Ro = 1/10 +1/10

2/10 = 1/ Ro

Ro= 10/2 = 5 ohm

V = IR

12V = I × 5Ohm

I=2.4 A

What is carbon dating?

Answers

Answer:

Im pretty sure its number 2

Explanation:

The first one a scientific way of finding the age of something that is very old (such as a dinosaur bone) by measuring the amount of certain forms of carbon in it

How does the diameter of a black hole (size of the event horizon) depend on the mass inside the black hole

Answers

Answer:

The greater the mass, the greater is the diameter

Explanation:

The greater the mass, the greater is the diameter. almost all galaxies contain supermassive black holes.

How to find average velocity on a graph.

Answers

Answer:

Answer is below….

Explanation:

The velocity is represented by the slope of a position-time graph. The faster the motion changes, the steeper the slope. The change in position divided by the corresponding change in time may be used to compute average velocity from a position-time graph.

_________________________________________________________

(hope this helps can I pls have brainlist (crown)☺️

two objects are sitting 6m apart, one object has a mass of 100kg and the other has a mass of 200kg. what is the gravitational attraction between them

Answers

F=G(m1m2/r^2)

F= 6.67x10^-11(100 x 200/ 36)

F= 3.7 x 10^-8

What is the acceleration as an object goes from +20 m/s to +26 m/s over 1.4 s?

Answers

Answer:

4.3 m/s^2

Explanation:

a = vf - vi / t

26 - 20 / 1.4

= 4.28 ( round your numbers)

A bullet of mass 6.00 gg is fired horizontally into a wooden block of mass 1.20 kgkg resting on a horizontal surface. The coefficient of kinetic friction between block and surface is 0.190. The bullet remains embedded in the block, which is observed to slide a distance 0.270 mm along the surface before stopping.
(a) What was teh initial speed of the bullet?(b) What kind of collision took place between the bullet and the block? Explain your answer comparing the values of the kinetic energy before and after the collision.(c) Calculate the impulse of the block from the moment just after the impact to his final position. Analyze the result.

Answers

Answer:

A 5.00-g bullet is fired horizontally into a 1.20-kg wooden block resting on a horizontal surface. The coefficient of kinetic friction between block and surface is 0.20. The bullet remains embedded in the block, which is observed to slide 0.230 m along the surface before stopping.

Explanation:

Why are people so rude???

Answers

Answer:

It could be low self-esteem

Explanation:

There probably insecure have problems and issues of their own could be that were abused growing up and weren’t treated right who knows.

If you drag a 50kg block across the floor which has a coefficient of friction of .30, what is
the force needed to accelerated it at 2.0m/s^2 ?

Answers

Answer:

750 Newton

Explanation:

force=mass(acceleration)

Dave and Alex push on opposite ends of a car that has a mass of 875 kg. Dave pushes the car to the right with a force of 250 N, and Alex pushes to the
left with a force of 315 N. Assume there is no friction.
What is the net force on the car in the x-direction? Help meee please

Answers

The net force acting on the car is 65 N to the left

The net force acting on an object is simply defined as the resultant force acting on the object.

From the question given, we obtained the following data:

Force applied to the right (Fᵣ) = 250 NForce applied to the left (Fₗ) = 315 NNet force (Fₙ) =?

The net force acting on the car can be obtained as follow:

Fₙ = Fₗ – Fᵣ

Fₙ = 315 – 250

Fₙ = 65 N to the left

Therefore, the net force acting on the car is 65 N to the left

Learn more on net force: https://brainly.com/question/19549734

Since there is no friction, the net force on the car in the x - direction will be 65 Newtons

Given that Dave and Alex push on opposite ends of a car that has a mass of 875 kg.

Dave pushes the car to the right with a force of 250 N, which is positive direction and Alex pushes to the left with a force of 315 N which is negative direction. Since there is no friction, only the horizontal forces will be considered.

To calculate the net force on the car in the x-direction, we will find the difference between the two forces because of their directions are opposite to each other.

Net force = 315 - 250

Net force = 65 Newtons

Therefore, the net force on the car in the x - direction will be 65 Newtons

Learn more about resolution of forces here: https://brainly.com/question/11556949

HELP PLEASE : )
IT'S SCIENCE

Answers

Answer:

1. A and C are balanced forces as all the forces get cancelled by the opposite and equal force.

2. B and D as in B the Net force is 5N to the right and in D the Net force is 20N to the right.

3. This would be all the unbalance forces which are B and D

4. B would be moving 5N to the right and D would move 20N to the right.

Which object is moving faster?
A

Answers

Answer:

A

Explanation:

Answer:

A

Explanation:

if a car travels around a circular track with a radius of 100 m once every 10s what will its average angular velocity around the track be?

Answers

Answer:

0.628 radians per second

Explanation:

Angular velocity

= 2pi/T

= 2(3.14159)/10

= 0.628 radians per second

The average angular velocity around the track is 62.8 m/s, using the circumference of the track as the total distance.

Average angular velocity:

What information do we have?

Radius of track = 100 m

Time taken = 10s

Circumference of track = 2πr

Circumference of track = 2(3.14)(100)

Circumference of track = (2)(314)

Circumference of track = 628 m

Average angular velocity around the track = Circumference of track / Time taken

Average angular velocity around the track = 628 / 10

Average angular velocity around the track = 62.8 m/s

Find out more information about 'Velocity'.

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light of wavelength 520 nm falls on a slit that is 3.20 um wide. Estimate how far the first bright-sh difrrection fringe is

Answers

Answer:

because of the gravity of the earth

what is radiation?....​

Answers

Answer:

the emission of energy as electromagnetic waves or as moving subatomic particles, especially high-energy particles which cause ionization.

is called radiation

Answer:

Radiation is energy that comes from a source and travels through space at the speed of light

Explanation:

I hope it's help u

Which type of electromagnetic radiation is commonly used for long-distance communications?
A. infrared radiation
B. radio waves
C. ultraviolet radiation
D. gamma rays

Answers

Answer:

B. Radio waves

Explanation:

Radio waves are transmitted easily through air. They do not cause damage if absorbed by the human body, and they can be reflected to change their direction. These properties make them ideal for communications.

Hope this helps!!

Answer:

B

Explanation:

Radio Waves

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