A jewellery shop owner has two identical clear gemstones but cannot remember which one is diamond and which one is rutile. Rutile is a clear gemstone that appears identical to a diamond. It is often used as a cheaper alternative to diamond in jewellery. She is aware that the refractive index of diamond is 2.4 and the refractive index of rutile is 2.9. She has a machine capable of measuring the speed of light through each material and basic measuring equipment. Briefly describe how the shop owner can distinguish between the diamond and rutile gemstones. Use calculations to support your answer.

Answers

Answer 1

We know

[tex]\boxed{\sf n_{21}=\dfrac{C}{V}}[/tex]

How he find:-

The owner will measure speed of light through the index(Diamond or rutile).Then using calculations he fill find which is the velocity of diamond or rutile

For diamond

[tex]\\ \sf\longmapsto n_D=\dfrac{C}{V_D}[/tex]

[tex]\\ \sf\longmapsto 2.4=\dfrac{3\times 10^8ms^{-1}}{V_D}[/tex]

[tex]\\ \sf\longmapsto V_D=\dfrac{3\times 10^8ms^{-1}}{2.4}[/tex]

[tex]\\ \sf\longmapsto V_D=1.25\times 10^8ms^{-1}[/tex]

[tex]\\ \sf\longmapsto V_D=125\times 10^6ms^{-1}[/tex]

For rutile

[tex]\\ \sf\longmapsto n_R=\dfrac{C}{V_R}[/tex]

[tex]\\ \sf\longmapsto V_R=\dfrac{C}{n_R}[/tex]

[tex]\\ \sf\longmapsto V_R=\dfrac{3\times 10^8ms^{-1}}{2.9}[/tex]

[tex]\\ \sf\longmapsto V_R=1.03\times 10^8[/tex]

[tex]\\ \sf\longmapsto V_R=103\times 10^6ms^{-1}[/tex]

Answer 2

When an electromagnetic wave (like light) travels in a given medium, the speed of the wave in the medium depends on the refractive index of the material.

Such that if the refractive index is n₀, the speed of the wave in that material will be:

v = c/n₀

where c is the speed of light in vacuum.

c = 3×10^8 m/s

Now, we know that:

the refractive index of diamond is 2.4

the refractive index of rutile is 2.9

And the owner can measure (in some way) the speed of light through each material.

Looking at the equation of the speed of the wave in a material, we can see that as the index of refraction increases, the velocity should decrease.

Then when the light travels in the rutile (which has a larger index) it will have a smaller velocity than in diamond.

Where the speed in rutile is:

[tex]V_r = \frac{3\cdot 10^8 m/s}{2.9} = 103,448,275.1 m/s[/tex]

And in diamond is:

[tex]V_r = \frac{3\cdot 10^8 m/s}{2.4} = 125,000,000 m/s[/tex]

So measuring the speeds in each cristal, she can know which one is diamond and which one is rutile.

If you want to learn more, you can read:

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Related Questions

a radioactive element has a half-life of 30 days. calculate the mass of the element that remains after 20 days if 100g of the element decays. Also, calculate the decay constant.

Answers

Explanation:

the answer is in the image above

pls guys i have a serious question thats in my brain for a long time.


Find the highest acceleration

best answer = brainlist​

Answers

The greatest acceleration on the graph is   4 m/s²  .

"Acceleration" means how fast velocity is changing.

Changing velocity means changing speed OR direction.

This graph doesn't tell us anything about the direction of motion, so we can only work with speed.

The "greatest" acceleration means the biggest change of speed in the shortest time.

Your picture of the graph is pretty fuzzy, and I'm not sure I can actually read everything correctly.  

The y-axis looks like it's velocity, and I THINK the numbers are  0, 20, 40, and 60, in meters per second.

The x-axis looks like time, and I THINK it's marked 0, 10, 20, 30, 40, 50, 60, 70, and 80, in seconds.

Now, each straight piece on the graph shows a change of velocity and a change of time.  So the SLOPE of each piece is the acceleration of that piece.

==> On the first piece, from 0 to A, the velocity changes from 0 to 20 m/s, and the time changes from 0 to 20 sec.  The slope of that piece is (20 m/s) / (20 sec), so the acceleration is  1 m/s² .

==> On the level piece from A to B, the velocity is 20 m/s.  It doesn't change, from 20 to 30 sec. It has no slope, so the acceleration is zero.

==> On the piece from B to C, the velocity rises (60 - 20) = 40 m/s, and the time changes (40 - 30) = 10 sec.  The slope is (40 m/s) / (10 sec), so the cceleration on that piece is  4 m/s² .    

==>  Finally, on the last piece, from C to D, the velocity DROPS from 60 to 0 m/s, during the time from 40 to 80 sec.  The change in velocity is -60 m/s, and the change in time is 40 sec. So the slope of the piece, and the acceleration, is  (-60 m/s) / (40 sec)  =  -1.5 m/s² .

The greatest acceleration shown on the graph happens along the line segment from B to C, from 30 to 40 seconds. During that time, the velocity changes from 20 to 60 m/s.  That's an acceleration of   4 m/s² .    

How is the frictional force produced? please answer my question in simple language..​

Answers

Explanation:

Frictional force is produced when two different objects are in very close contact and are slided against each other.

It also depends on the roughness of the object i.e, the rougher will be the object the higher friction will be produced and vice-versa.

Give an example for each of the following, where the force:
a) changes the direction of a moving object.
b) changes the speed of a moving object.
c) changes the shape and size of an object.
d) stops a moving object.
e) moves a stationary object.

Answers

Explanation:

A cricket player hitting the ball from opposite direction.A footballer kicking ball with more force.Heating of a plastic bottle.Applying brake of a car.rolling a stopped marble on a table.

a).  The gravitational forces between the Earth and the Sun bends the Earth's motion along a curving path instead of a straight line.

b).  The gravitational forces between the Earth and a falling rock make the rock fall faster and faster.

c).  The force of a pressurized stream of hot air makes a balloon get rounder and bigger.

d).  The gravitational forces between the Earth and a rock tossed straight up make the rock go slower and slower, and eventually stop.  (In the next instant,  it starts falling, as described in answer-b.))

e).  The acoustic and emotional force of your mother's voice 15 minutes before the school-bus arrives causes you to turn over, sit up, and start putting on your socks.

SOMEONE PLEASE HELP!A car starts at rest and accelerates at 4m/s2. How far has it traveled once its velocity reaches 25 m/s

Answers

Please find the attached photograph for your answer. Please do comment whether it helped you or not.

Fluorine has 7 valence electrons. Which charge is its ion likely to have?(1 point)

1+

5+

1–

5-

Answers

Answer:

1–

Explanation:

The fluorine is the element with biggest electronegativity in the periodic table, so it usually always take an electron and gets charge 1–

The valence electrons that Fluorine possesses is 7. Then, the charge of its ion would most probably be:

C). 1–

Fluorine is the element having F as its symbol and 9 as its atomic number(9 protons).

As we know, valence electrons are the electrons that are available in the surface shell of the atom. This is the reason that such electrons can make bonding with some other atoms as well. Since Fluorine contains 7 valence electrons, it would have a charge of 1– because it will acquire extra electrons to form the bond. Fluorine's valence shell would contain [tex]2s^{2} 2P^{5}[/tex] i.e. 7 valence electrons.Thus, Fluorine is the chemical element that possesses the highest electronegativity i.e. of around 3.98.

Learn more about 'chemical elements' here:

brainly.com/question/18681051

The live wire comes loose and touches the metal case explain how the Earth wire and fuse together make the heater electrically safe

Answers

Answer:

You would get an electric shock if the live wire inside an appliance, such as a cooker, came loose and touched the metal casing. ... A strong current surges through the earth wire because it has a very low resistance . This breaks the fuse and disconnects the appliance.

Explanation:

I'm not sure but I hope it helps!

write down the symbols of nitrogen and neon?​

Answers

Answer:

Nitrogen is N, neon is Ne

Answer:

Symbol of Nitrogen is N symbol of Neon Ne.

34.9x46x809 Please helpp

Answers

34.9×46×809=1605.4×809 =1298768.6

please mark this answer as brainlist

give in one word answer :
combination of cell in series​

Answers

Answer:

The combination of cells in which the negative terminal of a first cell is connected with the positive terminal of second cell and the negative terminal of a second cell is connected to the positive terminal of a third cell and so on is known as series combination of cells.

Explanation:

hope this helps to u

Answer:

Battery.

Hope it is helpful....

An experiment is conducted to determine how the arm length of a pendulum affects its period. The experimental design calls for varying the length of the arm and the mass of the bob.

Which is true about this experiment, based on good experimental design?

Only the arm length should be changed. The mass should remain the same.

Only the mass should be changed. The arm length should remain the same.

The force applied to the mass should be varied for each trial.

The material the arm is made of should be varied for each trial.

Answers

Answer:

Option (I)

Explanation:

The independent varible is arm length. Therefore, to eliminate the effect of other factors and make a valid and effective conclusion, only the arm length should be changed, while other factors (mass, force and materials) should remains the same.

Answer: Only the arm length should be changed. The mass should remain the same.

Explanation:

Bill and Amy want to ride their bikes from their neighborhood to school which is 14.4 kilometers away. It takes Amy 40 minutes to arrive at school. Bill arrives 20 minutes after Amy. How much faster (in meters/second) is Amy’s average speed for the entire trip?

Answers

Answer:

Hey mate....

Explanation:

This is ur answer....

The image attached is the answer....

Hope it helps!

Brainliest pls!

Follow me! :)

47) Which of the following types of energy is the kind that an object gains when it is raised to a higher point on a
hill than when it started?
A)
B)
Kinetic Energy
Chemical Energy
Mechanical Energy
Gravitational Potential Energy

Answers

Answer:

kinetic

Explanation:

kinetic energy is powered by motion or gravity the steeper the hill is the faster a ball will roll

If a 2kg metal slug is heated with 1275J of energy which raises its temperature 15K, what is the metal's specific heat capacity?

Answers

Answer:

42.5J/kgk

Just use the formula

C = Q/m x change in temp

plsss helpp will give brainliest!!!
here are answer choices for ALL of the blanks! :)
-flexibility
-cardiovascular fitness
-muscular fitness

Answers

Answer:

1. Flexibility.

2. Muscular Fitness

3. Cardiovascular Fitness

4. Cardiovascular Fitness

5. Flexibility

6. Muscular Fitness

7. Cardiovascular Fitness

How do data collected from tree rings provide evidence for climate
change?
Why isn’t this a answer when you search it

Answers

Answer:

Climate scientists compare the tree growth records to local weather records. For locations where a good statistical match exists between tree growth and temperature or precipitation during the period of overlap, the ring widths can be used to estimate past temperature or precipitation over the lifetime of the tree.

A train is moving with the velocity of 10m/s . It attains an acceleration of 4m/s after 5 sec . find the distance covered by train at that time.

Answers

Jdndbxndbsjanwndnfbdbdjdjd

QİYour pair of boots has a mass of 850g if each boot has
exactly the same mass what is the weight of each boot?

Answers

Answer:

It is 4,250 N

Explanation:

Mass of each boot:

[tex] = \frac{1}{2} \times 850 \\ \\ = 425 \: g[/tex]

Weight:

[tex]{ \sf{weight = mass \times acceleration}} \\ { \sf{weight = 425 \times 10}} \\ { \sf{weight = 4250 \: newtons}}[/tex]

what unit of measurement is used to measure the size of a star

Answers

It’s light seconds, now don’t mistake it as time

0) Which of the following is matter?
a) Dust
b) The moon
c) Stand of hair
d) All of the above

Answers

Answer:

All of the above is the answer

hope it helps.

mark me as Brainliest plz!

Answer:

option d.

d) All of the above .

1000 mm =

covert the following into metres with working

Answers

Answer:

1m

Explanation:

The conversion is 1mm = 0.001m. So all we need to do to find how many mm there are in a meter, all we need to do is divide by a 1000;

1000 / 1000 = 1m

Best of Luck!

the ice and steam points of a thermometer at 25.2ohms find the corresponding value in degrees centigrade when it read 38.0 ohms​

Answers

Answer:

No answer available

PLEASE MARK AS BRAINLIEST ANSWER

pls ans fast and i will mark brainlist. pls

Answers

Answer:

the thumb

Explanation:

pressure is exerted more by an area of small surface area.

pressure is got by P=Force/Area in contact

on the thumb there is a smaller area in contact. so as the area reduces, the force exertes becomes greater.

What is the advantage of SI unit over CGS unit?​

Answers

ADVANTAGE

PEOPLE USED CERTAIN UNIT OF MEASUREMENT IN THEIR SPECIFIC REGION WHICH IS NOT ACCEPTED BY WORLD IN CGS SYSTEM.CGS UNIT MADE

DIFFICULTY IN TRADE. LATER SI UNIT OF MEASUREMENT HAVE BEEN ADOPTED IN 1960 AD TO BRING THE uniformity IN measurement throughout THE WORLD. SI SYSTEM MADE THE MEASURENT AROUND WORLD MORE EFFECTIVE AND LESS COFUSING THAN CGS UNIT.

Between which types of elements do ionic bonds occur, and how do electrons act within the bond
o nonmetals and nonmetals, electrons shared
o metals and metals, electrons freely moving
O metals and nonmetals, electrons transferred
nonmetals and metals, electrons shared

Answers

Ionic bonds form when a nonmetal and a metal exchange electrons, while covalent bonds form when electrons are shared between two nonmetals. An ionic bond is a type of chemical bond formed through an electrostatic attraction between two oppositely charged ions.

the real answer is

O metals and nonmetals, electrons transferrednonmetals and metals, electrons shared

State Archimedes principle

Answers

[tex]\huge\bigstar{\underline{{\red{A}{\pink{n}{\color{blue}{s}{\color{gold}{w}{\color{aqua}{e}{\color{lime}{r}}}}}}}}}\huge\bigstar[/tex]

Archimedes’ principle is the physical law of buoyancy, discovered by the ancient Greek mathematician and inventor Archimedes, stating that any body completely or partially submerged in a fluid (gas or liquid) at rest is acted upon by an upward, or buoyant, force, the magnitude of which is equal to the weight of the fluid displaced by the body. The volume of displaced fluid is equivalent to the volume of an object fully immersed in a fluid or to that fraction of the volume below the surface for an object partially submerged in a liquid. The weight of the displaced portion of the fluid is equivalent to the magnitude of the buoyant force. The buoyant force on a body floating in a liquid or gas is also equivalent in magnitude to the weight of the floating object and is opposite in direction; the object neither rises nor sinks. For example, a ship that is launched sinks into the ocean until the weight of the water it displaces is just equal to its own weight. As the ship is loaded, it sinks deeper, displacing more water, and so the magnitude of the buoyant force continuously matches the weight of the ship and its cargo.

Answer:

Archimedes principle states that"When a body is fully or partially immersed in a liquid,it experience an upthrust which is equal to the weight of the liquid displaced"

potassium, Group 1
calcium, Group 2
iodine, Group 17
neon, Group 18


Which two elements in the list would bond together based on their ionic charges?

(1 point)

potassium and iodine

calcium and potassium

calcium and neon

potassium and neon

Answers

Answer:

Potassium and iodine

Explanation: I took the quick check

Which diagram shows the effect of cutting the
acceleration in Part A in half and not changing
the value of the initial velocity?

Answers

Acceleration is the rate of change of velocity over time. The diagram that shows the effect of cutting acceleration by half without changing initial velocity is graph (c)

The equation is given as:

[tex]v = 2t + 4[/tex]

The first equation of motion is:

[tex]v = u + at[/tex]

By comparing both equations, we have:

[tex]u = 4[/tex] --- initial velocity

[tex]a = 2[/tex] --- acceleration

When the acceleration is cut in half, the new acceleration is:

[tex]a_{new} = \frac a2[/tex]

[tex]a_{new} = \frac 22[/tex]

[tex]a_{new} = 1[/tex]

So, the equation of velocity is:

[tex]v = u + at[/tex]

[tex]v = 4 + 1 \times t[/tex]

[tex]v = 4 + t[/tex]

When [tex]t = 0[/tex]

[tex]v = 4 + 0 = 4[/tex]

When [tex]t = 1[/tex]

[tex]v = 4 + 1 = 5[/tex]

The graph of velocity that satisfies [tex]v = 4 + t[/tex] and the values of time (t) and velocity (v) tested above is (c).

See attachment for the diagram (graph)

Read more about velocity and acceleration at:

https://brainly.com/question/2239252

A rock is thrown straight up and reaches a height of 10m
How long was the rock in the air
What is the initial velocity of the rock

Answers

Answer:

1.41s,14.14m/s(approx.)

34.9x46x809 I need help again

Answers

Answer:

1,298,768.6

hope that helps uh..

Answer:

1298768.6

Explanation:

34.9 x 46 = 1605.4

1605.4 x 809 = 1298768.6

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