A soap film (n = 1.33) is formed in a loop of wire that is mounted vertically is not exactly uniform in thickness because of its weight, but wedge-shaped in cross section. When the film is illuminated with red light of wavelength 665 nm, one sees that a distance of 3.20 cm separates two bright fringes that are 3 orders apart. By how much does the film differ in thickness over this distance?

Answers

Answer 1

The difference in thickness of the soap film over a distance of 3.20 cm is approximately 498.8 nm.

To solve this problem, we need to use the equation for the thickness of a soap film:

t = (m + 1/2)λ/2n

where t is the thickness of the film, m is the order of the bright fringe, λ is the wavelength of the light, and n is the refractive index of the film.

In this case, we are given that the distance between two bright fringes that are 3 orders apart is 3.20 cm. We can use this information to find the value of m:

m = (distance between fringes) × (2n/λ)

m = (3.20 cm) × (2 × 1.33/665 nm)

m = 4


So the two bright fringes we are interested in are the 4th and 7th order fringes.

Using the equation for the thickness of a soap film, we can find the difference in thickness between the two fringes:

t1 = (m1 + 1/2)λ/2n
t2 = (m2 + 1/2)λ/2n

Δt = t2 - t1

Δt = [(m2 + 1/2)λ/2n] - [(m1 + 1/2)λ/2n]

Δt = [(7 + 1/2) × 665 nm/2 × 1.33] - [(4 + 1/2) × 665 nm/2 × 1.33]

Δt = 498.8 nm


So the difference in thickness of the soap film over a distance of 3.20 cm is approximately 498.8 nm.

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Related Questions

9. Write the Boolean equation by using De Morgan equivalent gates and bubble pushing methods for this circuit.

Answers

The Boolean equation for the given circuit, using De Morgan equivalent gates and bubble pushing methods, can be written as follows:

(A + B)' + (C + D)' = Y

In the given circuit, we have two inputs, A and B, which are connected to the first OR gate. The output of this OR gate is inverted using a NOT gate. Similarly, we have inputs C and D, which are connected to the second OR gate. The output of this OR gate is also inverted using a NOT gate. Finally, the outputs of the two NOT gates are connected to a third OR gate, which gives us the output Y.

To write the Boolean equation, we can use De Morgan's theorem to simplify the circuit. De Morgan's theorem states that the complement of the sum of two variables is equal to the product of their complements. Using this theorem, we can rewrite the first part of the circuit as (A' * B') and the second part as (C' * D').

Applying the bubble pushing method, we can eliminate the NOT gates and rewrite the equation as (A' * B') + (C' * D') = Y.

This equation represents the logical relationship between the inputs A, B, C, D, and the output Y in the given circuit. It states that the output Y is the result of the OR operation between the complemented inputs A and B, and the complemented inputs C and D.

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When the car engine is hot, _________
A. Gently apply pressure and slowly twist the radiator cap counter clockwise.
B. Tap on the top of the radiator cap three times, apply a cloth over the cap, and remove the cap quickly.
C. Both 1 and 2 above will work.
D. Never remove the radiator cap.

Answers

Answer:

Option D:

Never remove the radiator cap.

Explanation:

When the car engine is hot, especially during a situation where the engine is overheating, NEVER REMOVE THE RADIATOR CAP.

This is because the water in the radiator is now at a very high temperature and pressure. Once the cap is slightly twisted, this high-pressure water can violently erupt through the radiator cap spewing hot water on the face of the persons closest to it.

The best practice is to allow the car engine to cool down before the radiator is opened.

A force of 8 N accelerates by 4 m/s^2. What would be the amount of force needed to give a final acceleration of 5.3 m/s^2

Answers

Answer:

10.6 N

Explanation:

F = ma

8 = m * 4

m = 2 kg

F = 2 * 5.3

F = 10.6 N

As an object slides across a rough horizontal
surface, what happens to the object's
gravitational potential energy with
respect to the surface and speed?

Answers

When the object slides across the rough surface some of its potential energy will be lost to friction.

Conservation of mechanical energy

The law of conservation of mechanical energy states that the total mechanical energy of an isolated system is always constant.

M.A = P.E + K.E

When the object slides across the rough surface, some of the potential energy of the object will be converted into kinetic energy while the remaining potential energy will be converted into thermal energy due to frictional force of the rough surface.

P.E = K.E + thermal energy

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Melissa was putting on her makeup when she accidentally ran into a stopped car at a red light, 11. 01 m in front of her. Melissa's 1,219 kg car was moving at 8. 133 m/s and came to a complete stop in 0. 3994 seconds. What is the magnitude of the force that stopped Melissa's car?


a

2. 970E4 N

b

1. 535E4 N

c

1. 934E4 N

d

4. 550E4 N

e

4. 295E4 N

f

3. 400E4 N

g

3. 821E4 N

h

2. 482E4 N

Answers

The required magnitude of the force that stopped Melissa's car is 118608.7 N.

What are 1st 2nd and 3rd laws of motion?

According to the first law, unless a force acts on an object, it will not alter its motion. According to the second law, an object's force is determined by multiplying its mass by its acceleration. According to the third law, when two objects interact, they exert equal-sized and opposite-direction forces upon one another.

According to question:

An object at rest remains at rest, and an object in motion remains in motion at constant speed and in a straight line unless acted on by an unbalanced force.

Given,

speed=8.133 m/s

final velocity=0 (due to impact)

time=0.3994 seconds

distance=11.01m

Then,

S = ut + (at^2)/2

a = 2(s - ut)t^2

a = 97.3 m/s^2

So,

Force = ma

Force = 1219(97.3)

Force = 118608.7 N

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PLEASE ANSWER NEED HELP!!!!!!!! PLEASE THE CORRECT ANSWER!!!!!!


Having good form is important when sitting but not when sleeping.
A.
True

B.
False

PLEASE NO LINKS

Answers

Answer:

B. false

Explanation:

Because good form is not going to mess up your sitting it might mess up the way you sleep Because you don't know if you going to hurt 8n the moring

what would happen to earth when the star sirius becomes a red giant

Answers

Answer:

The world would be fine

Explanation:

the velocity of sound apparatus is used in an investigation to determine the frequency of an unknown tuning fork. The temperature of the room is 25° Celsius, the first antinode is at .75meters with the second position at 2.25.

A. Determine the wavelength of the tuning fork.

B. Determine the speed of sound in that room.

C. Determine the frequency of the tuning fork. ​

Answers

Answer:

Explanation:

The relationship of the speed of sound, its frequency, and wavelength is the same as for all waves: vw = fλ, where vw is the speed of sound, f is its frequency, and λ is its wavelength.

Is it possible to play the lowest string with your finger on any of the frets shown and hear the same frequency as the highest string?.

Answers

No, it is not possible to play the lowest string with your finger on any of the frets shown and hear the same frequency as the highest string.

The frets on a stringed instrument, such as a guitar, are placed in specific positions along the neck to produce different pitches or frequencies when the strings are pressed against them.

Each fret represents a specific note, and when you press a string against a particular fret, you effectively shorten the vibrating length of the string, which increases the frequency and raises the pitch of the sound produced.

As you move your finger along the fretboard, the pitch of the note played changes.

The lowest string on a guitar, typically the thickest string, has the lowest pitch or frequency when played open (without pressing any frets). As you press down on higher frets, you increase the pitch of the note.

The highest string on a guitar, typically the thinnest string, has the highest pitch or frequency when played open.

Therefore, pressing a fret on the lowest string will never produce the same frequency as the open (unfretted) highest string because the length and tension of the strings are different, resulting in different natural frequencies for each string.

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A drag racer starts from rest and accelerates at 10 m/s squared for the
entire distance for 5.4 seconds. What is the velocity of the car at the end
of the race?

Answers

Answer:

54 \(\frac{m}{s}\)

Explanation:

\(v=u+at\)

where \(u=\)initial velocity

\(v=0+(10\frac{m}{s^{2} } )\)×\((5.4s)\)

\(v=54\frac{m}{s}\)

in a particular wire in a circuit, conventional current flows in the z direction. what is the direction of electron current in the wire? electron current i flows in the ---select--- direction.

Answers

In a particular wire in a circuit, if conventional current flows in the z direction, the direction of electron current in the wire would be in the opposite direction, which is the -z direction.

To understand this concept, let's start with the understanding that in a wire, electrons are the charge carriers. When a voltage is applied to the circuit, the electrons will flow from the negative terminal of the voltage source to the positive terminal.

However, the conventional current flow assumes the opposite direction. It is defined as the flow of positive charges from the positive terminal to the negative terminal of the voltage source. This convention was established before the discovery of the electron, when it was believed that positive charges were the mobile charge carriers.

So, in the wire where conventional current flows in the z direction, the electrons actually flow in the opposite direction, which is the -z direction.

In conclusion, in a wire where conventional current flows in the z direction, the electron current flows in the opposite direction, which is the -z direction.

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A block slides on a table pulled by a string attached to a hanging weight. In case 1 the block slides without friction and in case 2 there is kinetic friction between the sliding block and the table.
1)In which case is the tension in the string the biggest?
a) Case 1
b) Case 2
c) Same

Answers

The tension in the string is bigger in case 2 when there is kinetic friction between the block and the table. Option b) Case 2

This is because when the block is sliding without friction, the force needed to pull it is only equal to the weight of the hanging weight. However, in case 2, the kinetic friction between the block and the table opposes the motion of the block, which means that more force is needed to overcome this friction and pull the block. Therefore, the tension in the string has to be bigger to pull the block in case 2 compared to case 1. In conclusion, the tension in the string is not the same in both cases and is bigger in case 2 where there is kinetic friction. Correct answer is Option b) Case 2

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a cart starts at x = 1m and travels towards the origin with a constant speed of 2.0. What is it the exact cart position (in m) 2.0 seconds later?

Answers

The exact position of the cart in 2.0 seconds from its initial position would be 5 meters.

This can be calculated using the formula x2 = x1 + vt.

The given conditions are :

Cart starts at x = 1m and travels towards the origin with a constant speed of 2.0.

We are asked to find the exact position of the cart in 2.0 seconds from its initial position, in meters. The solution to this problem is as follows:

Initial position of cart = x1 = 1 m

Speed of cart = v = 2.0 m/s

Time taken by the cart to travel = t = 2.0 s

Using the equation of motion, we have:

x2 = x1 + vt

Substituting the given values, we get

x2 = 1 + 2.0 × 2.0 = 1 + 4 = 5 m

Therefore, the exact position of the cart in 2.0 seconds from its initial position would be 5 meters.

This can be calculated using the formula x2 = x1 + vt.

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Explain why a book placed on a table does not move?

The book does not contain inertia.
There is no force exerting on the book in order for it to move.
The table contains more inertia than the book.
The force that the book exerts down on the table is equal to the force the table exerts upward.

Answers

Answer:

The force that the book exerts down on the table is equal to the force the table exerts upward.

Explanation:

I am 100% positive. That results in balanced forces which is why it does not move. If you did want it to move, you would apply unbalanced forces.

Answer:

4th: "The force that the book exerts down on the table is equal to the force the table exerts upward"

Explanation:

Basically, a book on a table is balanced in terms of forces. Gravity is opposed by the table and there are no forces acting to move the book in any direction. If there was a breeze that was not strong enough to move the book, it is because the force of friction is equal to that provided by the breeze.

Which is the approximate angle of repose for average soils when using the sloping method for the prevention of cave-ins? (Note: horizontal to vertical distance, respectively)
a.) 0.5:1.0
b.) 1.0:1.0
c.) 1.5:1.0
d.) 2.0:1.0

Answers

The approximate angle of repose for average soils when using the sloping method for the prevention of cave-ins is option c.) 1.5:1.0. This means that for every 1.5 feet horizontally, the soil should slope down 1 foot vertically.

The angle of repose is the maximum angle at which a soil can remain stable without collapsing. Sloping the soil at this angle helps to prevent cave-ins by providing stability and support to the walls of the excavation.

It is important to note that the angle of repose may vary depending on the type and condition of the soil, so it is always best to consult with a qualified engineer or geotechnical expert for specific recommendations.

However, as a general rule of thumb, the slope angle is typically in the range of 1.5:1.0 to 2.0:1.0, which means for every foot of vertical depth, the slope should extend 1.5 to 2 feet horizontally.

This angle allows the soil to maintain its stability and prevent it from collapsing or sliding, providing a safe working environment. Therefore, the correct option would be (c) 1.5:1.0 to (d) 2.0:1.0.

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2. Which wave property measures how many wavos pass a point in one second?

Answers

Answer:frequency

Explanation:

Calculate the mass of a truck traveling at 30.56 m/s that has a starting momentum of 77,000 kg*m/s

Answers

Answer:

2519.63 kg

Explanation:

mass(m)=momentum (p)/velocity

=77000/30.56

=2519.63kg

A block of mass m is placed on a smooth wedge of inclination θ . The whole system is accelerated horizontally so that the block does not slip on the wedge. The force exerted by the wedge on the block has a magnitude: (A) mg tan θ (B) mg sin θ (C) mg cos θ (D) mg sec θ

Answers

Answer: mg/Cosθ

Explanation:

Taking horizontal acceleration of wedge as 'a'

FCosΘ = FsinΘ

F = mass(m) × acceleration(a) = ma

For horizontal resolution g = 0

Therefore,

Horizontal = Vertical

maCosΘ = mgSinΘ

aCosΘ = gSinΘ

a = gSinΘ/CosΘ

Recall from trigonometry :

SinΘ/Cosθ = tanΘ

Therefore,

a = gtanΘ

Normal force acing on the wedge:

mgCosΘ + maSinΘ - - - - (y)

Substitute a = gtanΘ into (y)

mgCosΘ + mgtanΘsinΘ

tanΘ = sinΘ/cosΘ

mgCosΘ + mgsinΘ/cosΘsinΘ

mgCosΘ + mgsin^2Θ/cosΘ

Factorizing

mg(Cosθ + sin^2Θ/cosΘ)

Taking the L. C. M

mg[(Cos^2θ + sin^2Θ) /Cosθ]

Recall: Cos^2θ + sin^2Θ = 1

mg[ 1 /Cosθ]

mg/Cosθ

A book sitting on a desk with the surface area of the cover of .05 m^2. The atmospheric pressure is 100kPa. What is the downward force of the atmosphere on the book?

Answers

Almost 100 kPa is the atmospheric pressure. The entire top of the manuscript is under downward pressure. Only a portion of the bottom layer of the book may be subject to the upward pressure.

Answer: Force=500

Explanation:

We use ATP since it says "the downward force from atmosphere" and ATP equals 100kPa x 0.05m2 = 5000N.

How much pressure is there in the air?

The air atmospheric pressure near sea level, or 14.7 pounds every square inch, is equal to one ATM unit of measurement. Likewise known as standard atmospheric pressure.

Why is atmospheric pressure created?

The several layers of the atmosphere's atmosphere are made up of molecules as well as atoms that are constantly moving in random ways. Despite being minuscule, they still exert pressure that seems to humans as a force when they strike a surface.

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true or false? Most forces occur in pairs, such as when
you push against the floor with your
feet, the floor pushes back on your feet,
but there are a few exceptions where a
single force can occur without being in
an interaction of two forces.

Answers

This is TRUE everything has a action the force from your feet pushes and the floor pushes back

How is kinetic energy different from potential energy? akinetic energy is stored energy that has the capacity to do work, and potential energy is the energy of motionbkinetic energy is energy that an object possesses as a result of its location, and potential is the same as heat energyckinetic energy is energy of a moving object, whereas potential energy is energy possessed by matter as a result of its location or structuredkinetic energy can be created or destroyed, while potential energy cannot be created and destroyed

Answers

We will have that kinetic energy is different from potential energy as follows:

Kinetic energy is energy of a moving object, whereas potential energy is energy possessed by matter as a result of its location or structure. [Option C]

Heat energy always moves from a _ _ _ place to a _ _ _ _ _ _ place. The three methods of heat transfer are?
Plz help i need ASAP

Answers

Answer:Heat can travel from one place to another in three ways: Conduction, Convection and Radiation.

Explanation:

What it the direction of the weight or force of gravity?

Answers

Answer:

The weight is distributed throughout the airplane, but we can often think of it as collected and acting through a single point called the center of gravity. In flight, the airplane rotates about the center of gravity, but the direction of the weight force always remains toward the center of the earth.

Explanation:

a rock was thrown up and reaches 10m how long was the rock in the air, what was the final velocity of the rock?

Answers

Answer:

sq root 2 sec.... same as initial speed

What net charge would you place on a 111 g piece of sulfur if you put an extra electron on 1 in 1012 of its atoms? (Sulfur has an atomic mass of 32.1.)

Answers

For us to find out how much charge is being put, we need first to find out how many atoms of sulfur there are. This can be achieved knowing that sulfur has 32.1u of mass, and each u is 1.66*10^-27. So, there will be:

\(Atoms=\frac{111*10^{-3}}{32.1*1.66*10^{-27}}=2.083*10^{24}\)

So we'll have a total of 2.083*10^24 atoms. We know that an electron will be added on 1/1012 of these atoms. That is:

\(\frac{2.083*10^{24}}{1012}=2.058*10^{21}electrons\)

Multiplying this by the charge of each electron:

\(Q=2.058*10^{21}*-1.6*10^{-19}=-329.28C\)

Thus, the new charge will be -329.28C

rank in order, from fastest to slowest, the speeds of the points labeled 1 through 5. rank items from fastest to slowest. to rank items as equivalent, overlap them.

Answers

Order from fastest to slowest

\(1\geq 2\geq 3\geq 4\geq 5\)

Sort the items in order of speed. Overlap items to rank them equally.

The wheel in the is rolling to the right without slipping.

Rank in order, from fastest to slowest, the speeds of the points labaled 1 through 5.

Rank items from fastest to slowest. To rank items as equivalent, overlap them.

an sphere is pure rolling speed of context point 5 meet be zero w.r.t ground.

Hence, v-ωR=0

v=ωR

\(v_5_/_g\geq v_5_/_c+v_c_/_g...............(1)\)

part.5

speed= 0 \(v_5=0\)

part.2

\(v_2=\sqrt{v^2+v^2}\)

\(= \sqrt{2} v\)

=(1.414)v

part.3

\(v_3= \sqrt{v^2\)ω\(^{2}\)\(R^2/4\) = 1.118v

part. 1

\(v_1\)=v+ωR

=2v

part. 4

\(v_4\)=v

order from fastest to slowest

\(1\geq 2\geq 3\geq 4\geq 5\)

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Which statements describe properties of stars? Check all that apply.

Answers

The properties of stars are:  mass, age, distance, metallicity (chemical composition), variability and motion through space.

What is star?

An astronomical object known as a star is made up of a bright plasma spheroid that is held together by gravity. The Sun is the star that is closest to Earth.

Other stars are also visible at night with the unaided eye, but because to their great distances from Earth, they appear as stationary points of light. Many of the brightest stars have names, and the most notable stars have been grouped into constellations and asterisms.

Star catalogues have been put out by astronomers that list the known stars and offer standardized stellar labels.

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Answer: Stars produce energy through nuclear fusion.

Stars are massive objects composed of gas.

Stars are composed primarily of hydrogen and helium.

P.S can I get the brainiest?

Which of the following areas of the sun is where energy is transferred very slowly, sometimes taking up to 100,000 years, by electromagnetic radiation?

A. the radiation zone
B. the core
C. the convection zone
D. the solar flares

Answers

The correct answer is the radiation zone

9.31 determine the moment of inertia and the radius of gyration of the shaded area with respect to the x axis.

Answers

The moment of inertia is 614166.67 mm⁴.The radius of gyration of the shaded area 19 mm.What is moment of inertia?

Moment of inertia, a quantitative measure of the rotational inertia of a body in physics. The resistance that a body exhibits to changing its rotational speed about its axis by the application of a torque (torque). Axes can be internal or external and can be fixed or unfixed. However, the moment of inertia (I) is always given about this axis and is defined as the sum of the products of the mass of each particle in a particular body multiplied by the square of its distance from the axis. In calculating the angular momentum of a rigid body, the moment of inertia is analogous to the mass of linear momentum. For linear momentum, the momentum p is equal to the mass m multiplied by the velocity v. For angular momentum, on the other hand, the angular momentum L is equal to the moment of inertia I multiplied by the angular velocity ω.

R₁ = 40 × 10

R₂ = 90 × 10

R₃ = 40 × 10

⇒Iₓₓ = I₂ + 2(I₁ + A₁y²)

Where, y = distance between centroid of rectangle 1 and whole figure

I₁ = I₃ = Moment of inertia of rectangle = 1

I₂ = Moment of inertia of rectangle 2

Also,

I₂ = 90(10)³/12

I₂ = 7500 mm⁴

I₁ = 10(40)³/12

I₁ = 53333.33 m⁴

⇒Iₓₓ = 7500 + 2(53333.33 + 400(25)²)

⇒Iₓₓ = 7500 + 510666.66

= 614166.67 mm⁴

We know,

I = A k²

Where, k = radius of gyration

A = 400 + 900 + 400

A = 1700 mm²

⇒ 614166.67 = 1700 k²

k = 19 mm

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The complete question is as follows:

9.31 determine the moment of inertia and the radius of gyration of the shaded area with respect to the

How does the law of conservation of mass apply to this reaction: C2H4 + O2 → 2H2O + 2CO2?

Answers

Answer:

The equation needs to be balanced. There are fewer oxygen atoms in the equation than hydrogen or carbon. ... There is an equal number of each element on both sides of the equation.

Explanation:

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