Monochromatic light with lambda equals 630 space n m is incident on a single slit. The slit width is 0.8 mm. If the distance between the screen and slit is 1.8 m, what is the width of the central bright fringe on the screen

Answers

Answer 1

Answer:

The angular width is "[tex]1.575\times 10^{-3} \ rad[/tex]" and the linear width is "[tex]2.835\times 10^{-3} \ m[/tex]".

Explanation:

Given:

Wavelength,

[tex]\lambda = 630 \ nm[/tex]

or,

  [tex]=630\times 10^{-9} \ m[/tex]

Slit width,

[tex]a = 0.8 \ mm[/tex]

or,

  [tex]=0.8\times 10^{-3} \ m[/tex]

Distance between slit and screen,

[tex]D = 1.8 \ m[/tex]

As we know,

The central bright fringe's angular height,

⇒ [tex]\theta = \frac{2 \lambda}{a}[/tex]

       [tex]= \frac{2\times 630\times 10^{-9}}{0.8\times 10^{-3}}[/tex]

       [tex]=1.575\times 10^{-3} \ rad[/tex]

and,

The linear width will be:

⇒ [tex]x_o=\frac{2D \lambda}{a}[/tex]

By substituting the values, we get

        [tex]=\frac{3\times 1.8\times 630\times 10^{-9}}{0.8\times 10^{-3}}[/tex]

        [tex]=2.835\times 10^{-3} \ m[/tex]


Related Questions

Which is true of the interaction of charges?




A. like charges repel, unlike charges, attract
B. like charges attract, unlike charges, repel
C. like charges repel, unlike charges, repel too
D. like charges attract, unlike charges, are attracted too

Answers

Answer:

A. like charges repel, unlike charges, attract

Explanation:

A charge can be positive or negative.

Like charges, example positive and positive or negative and negative, repel each other, while unlike charges, example positive and negative attract each other.

From the given options, the correct option is A.

A. like charges repel, unlike charges, attract

The statement which is true for the interaction of charges is the like charges repel, unlike charges, attract (A).

What is the property of interacting charges?

When the two charges or the charged bodies interact each other, the force of attraction or repulsion acts between them. This force of attraction or repulsion can be find out using the coulombs' law.

This force of attraction or repulsion is identified by the sign of the particular charge. According to the property of interacting charges-

Like charges-For the like charges, when two charges interact to each other, then the charges repel each other.Unlike charges-For the unlike charges, when two charges interact to each other, then the charges attract each other.

Thus, the statement which is true for the interaction of charges is the like charges repel, unlike charges, attract (A).

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When electrons are accelerated by 2450 V in an electron microscope, they will have
wavelengths of:
a) 8.113 nm
b) 0.622 nm
c) 0.811 nm​

Answers

The wavelength of the electron microscope is 2.472*10⁻²⁰ m.

Calculation:

Provided, accelerating voltage = 2450 V

According to de Broglie's equation:

λ = h/p

where,λ = the wavelength of the particle that moves

P= momentum of moving particle

h= plank's constant = 6.63 x 10⁻³ Js

We know that,

P = √(2mk)

P = √(2mqV)

where P= momentum of moving particle

M= mass of the moving object

K= kinetic energy of the object

V= Electric potential of the object(accelerating voltage)

q= charge of the object(electron) = e=1.6 x 10⁻¹⁹C

∴λ = h/√(2meV) = [tex]\frac{6,63 *10^{-34} }{2*9.1*10^{-31}*1.6*10^{-19}*2450 }[/tex]

=2.472*10⁻²⁰ m

S0, the wavelength of an electron microscope is 2.472*10⁻²⁰ m. Think it matches option C.

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HELP ME PLEASEEEEEEEEEEEEEE

Answers

Answer:

u r right

Explanation:

it is A. DNA

i took that class.

:)

Answer:

I think it may be a brain?

Does the mass change how a bouncy ball bounces

Answers

The more mass an object has, the more kinetic energy it has when dropped, due to gravity. ... If the force of impact is too great for the ball to absorb, it may collapse and lose its bounce as the energy is dissipated in a different manner.

Answer:

hiii what's up. and good morning hyd

Convert 0.700 to scientific notation

Answers

Answer:

7 × 10^-1

Explanation:

Hope this helps :) mark branliest if you could!

Answer: Therefore, the scientific notation is [tex]7 *10 {}^{ - 1}[/tex]

Step by step explanation:

To solve a scientific notation you must count how many zeros they have, this always starts from the first 0, in some cases you always start by putting any number but that is not 0 at the beginning, these exercises are no longer negative scientific notations, if not they are positive.

An example:

[tex]8840 = 8.84 \times 10 {}^{3} [/tex]

Always to write a positive exercise you should always take the following:

The coefficient "C" must be determined by traversing the decimal point. You must also determine the exponent "n" always counting how many places the comma went, if it went to the left "n" it will be a positive exponent, but if "n" goes to the right it will then be negative.

And finally, the leading and trailing zeros of the coefficient are eliminated.

So, Therefore, The result of the scientific notation of the problem is [tex]7 *10 {}^{ - 1}[/tex]

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An atom has two more electrons than protons. What is the charge of the atom?

Answers

Answer:

If it has more electrons than protons it has a net negative charge and is known as an anion.

Osteoporosis is a condition that makes bones more
A. heavy
B. creaky
C. fragile
D. strong
answer is C

Answers

the answer for this question is c

You are working in the finance department of Innotech Ltd (INT). The Company has spent $5 million
in research and development over the past 12 months developing cutting-edge battery technology
which will be incorporated into the electric vehicle market. INT now need to choose between the
following three options for bringing the product to market. These options are:
Option 1: Manufacturing the product “in-house” and selling directly to the market
Option 2: Licensing another company to manufacture and sell the product in return for a royalty
Option 3: Sell the patent rights outright to the company mentioned in option 2
Your task
Your manager, INT’s CFO, Mr Barry Smith, has asked you to evaluate the three different options and
draft a memo to the Board of Directors providing recommendations on the alternatives, along with
supporting analyses.
Mr Smith has outlined the following three (3) areas you need to cover in your memo:
a) Analyse base case figures for the three options and using NPV as the investment decision
rule;
b) Provide recommendations based on the base-case analyses;
c) Provide recommendations on further analyses and discuss factors that should be considered
prior to making a final decision on the three options (Note. You do NOT have to undertake
any further financial analyses).
Further details for the various options are as follows:
Option 1: Manufacturing the product “in-house” and selling directly to the market
Three months ago, INT paid an external consultant $1.5 million for a production plan and demand
analysis. The consultant recommended producing and selling the product for five years only as
technological innovation will likely render the market too competitive to be profitable enough after
that time. Sales of the product are estimated as follows:
In the first year, it is estimated that the product will be sold for $45,000 per unit. However, the price
will drop in the following three years to $40,000 per unit and fall again to $36,000 per unit in the
final year of the project, reflecting the effects of anticipated competition and improving technology
Year Estimated sales volume
(units)
1 5,200
2 4,600
3 4,200
4 3,800
5 3,600
In the first year, it is estimated that the product will be sold for $45,000 per unit. However, the price
will drop in the following three years to $40,000 per unit and fall again to $36,000 per unit in the
final year of the project, reflecting the effects of anticipated competition and improving technology
in the market. Variable production costs are estimated to be $29,000 per unit for the entire life of the
project.
Fixed production costs (excluding depreciation) are predicted to be $3 million per year and marketing
costs will be $1.6 million per year.
Production will take place in factory space the company owns and currently rents to another business for $2.5 million per year. Equipment costing $87 million will have to be purchased. This
equipment will be depreciated for tax purposes using the prime cost method at a rate of 10% per
annum. At the end of the project, the company expects to be able to sell the equipment for $37
million.
Investment in net working capital will also be required. It is estimated that accounts receivable will
be 30% of sales, while inventory and accounts payable will each be 25% of variable and fixed
production costs (excluding depreciation). This investment is required from the beginning of the
project because credit sales, inventory stocks and purchases on trade credit will begin building up
immediately. All accounts receivable will be collected, suppliers paid and inventories sold by the end
of the project, thus the investment in net working capital will be returned at that point. (Refer to
spreadsheet example provided in Assessment Details).
Option 2: Licensing another company to manufacture and sell the product in return for a royalty
Lion Batteries Ltd (LIB), a multinational corporation, has expressed an interest in manufacturing and
marketing the pro

Answers

Answer: The Company has spent $5 million in research and development over the past 12 months developing cutting-edge battery technology which will be incorporated ...

Explanation: uhmmmmmm i dont know this one but it is pretty ez

7. A person sits on a freely spinning lab stool (no friction). When this person extends her arms, A) her moment of inertia decreases and her angular velocity increases. B) her moment of inertia decreases and her angular velocity decreases. C) her moment of inertia increases and her angular velocity increases. D) her moment of inertia increases and her angular velocity decreases. E) her moment of inertia decreases and her angular velocity remains the same

Answers

The spinning would slow down. I've done this so many times and I know when you put your arms out you slow down. Half the time thats a good thing because if you go too fast you end up on the floor. I dont know the answer but id say its B or E

Tell me if I'm wrong

A boy is pulling a sled with a net force of 10 N. If the mass of the sled is 20 kg, what is the acceleration of the sled?

Answers

Answer:

0.5 m/s

Explanation:

acceleration= force times mass

Given the amount of force applied on the sled as well as its mass, the acceleration of the sled is 0.5m/s².

What is force?

A force is simply referred to as either a push or pull of an object resulting from the object's interaction with another object.

From Newton's Second Law, force is expressed as;

F = m × a

Where is mass of object and a is the acceleration

Given the data in the question;

Force applied F = 10N = 10kgm/s²Mass of the sled = 20kgAcceleration a = ?

F = m × a

10kgm/s² = 20kg × a

a = 10kgm/s² ÷ 20kg

a = 0.5m/s²

Given the amount of force applied on the sled as well as its mass, the acceleration of the sled is 0.5m/s².

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While scuba diving, you have injured yourself and must signal the boat on the surface for help. As you always do when diving, you have five laser pointers with you, each emitting light of a different color: red, orange, yellow, green, and blue. When you shine the yellow light up toward the boat, the beam makes such a small angle with the surface of the water that all the light is reflected back into the water.

Required:
a. If you are not able to move closer to the boat, which color or colors of light might you try?
b. Are these other lights likely to be successful in penetrating the surface of the water?

Answers

Answer:

a. Red and Orange

b. Yes, they are

Explanation:

a. This is because, since the yellow light is reflected back into the water, it undergoes total internal reflection and its wavelength in water is not long enough to allow it penetrate the water surface. Since the wavelength decreases from left to right, both the green and blue light have shorter wavelength than the yellow light, so they get reflected back. The red and orange lights are more likely to penetrate since they have longer wavelengths than the yellow light.

b. This is because the red and orange light have longer wavelengths and are thus more likely to penetrate the water surface and not get reflected back.

What is the density of iron if 5.0 cm^3 has a mass of 39.5 g

Answers

Answer:

density =mass

volume

x = 39.5 ÷ 5.0

x =7.9

Answer:

7.9 g/cm3

Explanation:

Density = mass / volume

Density = 39.5 / 5.0

Density = 7.9 g/cm^3

Therefore, density is [tex]7.9 g/cm^{3}[/tex]

х
Help
Close
Pre-video question: What type of cell division produces sperm and
ova?

Answers

Answer:

HI THERE

Explanation:

MEIOSIS produces sperm and ova

thank you

I am also reading this chapter

it will come in my exams

Meiosis ? I did this in class too

Pedro is planning to model how changes in weather affect evaporation from lakes for his first experiment he wants to test how humidity affects the evaporation rate. he places one beaker with 300 mL of water in a dry area. and places another beaker with 300 mL of water near a humidifier which of the following variables does Pedro need to control during his experiment
A. humidity only
B. humidity and evaporation rate
C. volume of water and tempature
D. volume of water only

Answers

Pedro needs to control the variables such as volume of water and temperature during his experiment. So, option C.

What is meant by humidity ?

The amount of water vapor in the air is known as humidity. The humidity will be high if there is a lot of water vapour in the atmosphere.

Water can evaporate even at very low temperatures, but as the temperature rises, the rate of evaporation increases.

More surface molecules per unit of volume may be able to escape from a substance with a larger surface area, so it will evaporate more quickly.

The control variables in an experiment are the variables that the experimenter intends to keep constant always so as to limit their effect on the measurements of the relationship between the dependent and the independent variable.

Therefore, in order to have a proper measurement of the effect of humidity on evaporation rate, other variables such as temperature, and the volume of the water in the experiment investigations which affect evaporation rate by the provision of heat, (temperature) and their heat capacity, the volume, etc. should be controlled.

Hence,

Pedro needs to control the variables such as volume of water and temperature during his experiment. So, option C.

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While diving in cancun Mexico where the seawater has a density of 1,015 kg/m3 Nana observed that her pressure meter device reading was 3.75 atm. The reading at sea level is standard 1.0 atm. At what depth is she diving when the meter read 3.75 atm g

Answers

Answer:

The depth of the diver is 28.01 m

Explanation:

Given;

density of the seawater, ρ = 1,015 kg/m³

standard sea level pressure, P₀ = 1.0 atm = 101,325 Pa

the final reading of her pressure, P₁ = 3.75 atm = 379968.75 Pa

acceleration due to gravity, g = 9.8 m/s²

Let the depth she was diving at the final pressure = h

This depth is calculated as;

P₁ = P₀  +  ρgh

P₁ - P₀ =  ρgh

[tex]h = \frac{ P_1 \ - \ P_o}{\rho g} = \frac{379968.75 \ - \ 101325}{1015 \ \times \ 9.8} = 28.01 \ m[/tex]

Therefore, the depth of the diver is 28.01 m

Among all the electromagnetic waves (EM), which has the highest frequency? *

A. INFRARED RADIATION
B. RADIO WAVE
C. ULTRAVIOLET
D. GAMMA RAYS

How do transverse waves move? *
A. The particles move up and down to the direction in which the waves travel.
B. The particles move back and forth to the direction in which the waves travel.
C. The particles move in circular paths to the direction in which the waves travel.
D. The particles move back and forth and side to side to the direction in which the waves travel.

20. How do we know that waves carry energy? *
A. Waves causes disturbances
B. Waves can set other objects into motion
C. Waves must travel in a medium
D. Waves move back and forth

21. What happens when waves pass by? *
A. The particles vibrate
B. The particles stop moving
C. The particles move forward
D. The particles remain stationary

22. Which of the following correctly relates wavelength and frequency? *
A. The higher the wavelength, the higher the frequency.
B. The lower the wavelength, the higher the frequency.
C. The lower the wavelength, the lower the frequency.
D. The wavelength is directly related to frequency.

23. Which of the following is the fastest? *
A. A wave wit h 10 m wavelength and a frequency of 30 Hz.
B. A wave with 30 m wavelength and a frequency of 2 Hz.
C. A wave with 20 m wavelength and a frequency of 2 Hz
D. A wave with 5 m wavelength and a frequency of 60 Hz.)

24. How can we generate mechanical waves? *
A. By producing light energy
B. By producing horizontal motion
C. By vibrating a medium
All of the above

25. A high energy electromagnetic wave has ____ *
A. Low frequency
B. High Frequency
C. Zero wave speed
D. Highest wave speed​

Answers

first is gamma Ray's, last is d

¿Cuál es la frecuencia de rotación en la tierra?

Answers

Answer:

frequency is approximately 11.5 µHz, or more exactly, 11.5740740e-6 Hz

Explanation:

La Tierra gira más y más lento
Movimientos de la Tierra Características
Periodo de rotación sideral 365,256 96 días
Período de rotación (día sideral) 0,997 258 días, o 23,93419 h
Velocidad de rotación (en el ecuador) 1 674,364 km/h
Periodo de precesión 25 765 anos
4 more

calculate the moment of 3kg and 20cm away from the pivot​

Answers

Answer:

5.88 Nm

Explanation:

Applying,

Moment(M) = Force(F)×perpendicular distance(d)

M = F×d.................... Equation 1

But,

F = mg.................. Equation 2

Where m = mass, g = acceleration due to gravity.

Substitute equation 2 into equation 1

M = mgd................. Equation 3

From the question,

Given: m = 3 kg, d = 20 cm = 0.2 m

Constant: g = 9.8 m/s²

Substitute these values into equation 3

M = 3×0.2×9.8

M = 5.88 Nm

Joshua's physics lab group has been assigned project of designing a model bobsled track Each group will roll a marble down the track with the objective of having the marbte finish with the fastest time. Assume that the track is frictionless, and the length of all tracks is the same. They can use a small marble with a mass of 15g or a large marble with a mass of 209. What should his team do to give their marble the most potential energy? A) They should use a small marble with the ramp at a 45° angle B) They should use a large marble with the ramp at a 60° angle, C) They should use a large marble with the ramp at a 75° angle. 2) They should use a small marble with the ramp at a 60° angle​

Answers

They should use a large marble with the ramp at a 75 degree angle

why do blades come in different lengths in a jig saw sander?​

Answers

Answer:

To determine the minimum blade length, add 1" to the workpiece thickness. One type of material, and some materials can be cut by more than one type of blade. No matter the material, there's likely a jigsaw blade designed specifically for. Armed with the right blade, follow these pointers to make your work go (and cut) .

Explanation:

7) A meter stick is being balanced on a triangular piece of wood, with two blocks hanging off of
it, a block with a weight of 10. N is hanging 25 cm to the left of the triangle, and there is another
block with an Unknown weight hanging 50. cm to the right of the triangle.
a) Will the weight of the unknown block be more or less than the weight of the 10. N
block?
b) How much torque is the 10. N block creating?
c) How much torque must the Unknown block be creating?
d) What is the weight of the Unknown block?

Answers

Explanation:

a) It will weigh less because of its distance from the block.

b) torque = W1×d1 = (10N)(0.25m) = 2.5 N-m

c) torque = W2×d2 = W2×(0.50m)

d) W2×d2 = W1×d1

W2 = (d1/d2)W1

= 5 N

if an object sinks in water its density is greater than that of water

Answers

I think this is true but sorry if that’s wrong. Hope this helps :-)
Density is a measure of how heavy something is compared to its size. If an object is more dense than water it will sink when placed in water, and if it is less dense than water it will float.

b
Jasmine plays a note of wavelength 22 cm on her clarinet. The speed of
sound in air is 340 m/s. What is the frequency of this note? Give your
answer to 3 significant figures.​

Answers

Answer:

Frequency = 1,550Hz

Explanation:

To solve this we can use the equation: [tex]f=\frac{v}{\lambda}[/tex]

(frequency = velocity/wavelength).

We are given the information that the wavelength is 22cm and the speed is 340m/s. The first step is to make sure everything is in the correct units (SI units), and to convert them if needed. The SI Units for velocity and wavelength are m/s and m respectively. This means we need to convert 22cm into meters, which we can do by dividing by 100, (as there are 100cm in a meter). 22/100 = 0.22m

Now we can substitute these values into the formula and calculate to solve:

[tex]f=\frac{340}{0.22} \\\\f=1545.454...[/tex]

Simplify to 3 significant figures:

f = 1,550Hz

(Which I believe is just below a G6 if you were interested)

Hope this helped!

⦁ Light coming from a fish makes an incidence angle of 30° to normal under the water. The index of refraction of water is 1.33. A fisherman is looking at the fish through air. At what angle with the normal will the fish appear to the fisherman? Use Snell’s law: .

Answers

Answer:

snell's law = sinI /sin r

refractive index = sinI /sin r

1.33= 30 /sinR

sinR= 1.33×30

sinR=39.9

The angle with the normal by which the fish appear to the fisherman is 41.68 degrees.

What is Snell's law?

According to the Snell's law, the ratio of index of reflection of the different material is equal to the ratio of incident sine angle and reflective sine angle. It can be given as,

[tex]\dfrac{n_1}{n_2}=\dfrac{\sin\theta_2}{\sin\theta_1}[/tex]

Here (n₁ and n₂) are the index and reflective index and (θ₁ and θ₂) are the incident and reflected angle.

Light coming from a fish makes an incidence angle of 30° to normal under the water. The index of refraction of water is 1.33. A fisherman is looking at the fish through air.

The index of refraction of air is 1. Thus, by the Snell's law,

[tex]\dfrac{1}{1.33}=\dfrac{\sin(30)}{\sin\theta_1}\\\theta_1=41.68^o[/tex]

Thus, the angle with the normal by which the fish appear to the fisherman is 41.68 degrees.

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Help me please please help

Answers

Answer:

The answer is C.

Explanation:

If you have ever tried doing so, hair stick to the ballon. Opposites attract as well, so the answer is C.

Which of the following variables was controlled in the design of Study 2?

Answers

Answer:

the following variables

An open vertical tube has water in it. a tuning fork vibrates over its mouth. as the water level is lowered in the tube, a resonance is heard when the water level is 180 cm below the top of the tube, and again after the water level is 220 cm below the top of the tube a resonance is heard. what is the frequency of the tuning fork? the speed of sound in air is 343 m/s. answer in units

Answers

Answer:

[tex]428.75\ \text{Hz}[/tex]

Explanation:

[tex]\Delta y[/tex] = Change in water level = [tex]220-180=40\ \text{cm}[/tex]

[tex]\lambda[/tex] = Wavelength

[tex]v[/tex] = Speed of sound = 343 m/s

Between the points of resonance there exists [tex]\dfrac{1}{2}\lambda[/tex]

[tex]\dfrac{1}{2}\lambda=\Delta y\\\Rightarrow \lambda=2\Delta y\\\Rightarrow \lambda=2\times 40\\\Rightarrow \lambda=80\ \text{cm}[/tex]

Wavelength is given by

[tex]f=\dfrac{v}{\lambda}\\\Rightarrow f=\dfrac{343}{0.8}\\\Rightarrow f=428.75\ \text{Hz}[/tex]

The frequency of the tuning fork is [tex]428.75\ \text{Hz}[/tex].

A spring is hung from the ceiling. When a coffee mug is attached to its end, it stretches 2.5 cm before reaching its new equilibrium length. The block is then pulled down slightly and released. What is the frequency of oscillation

Answers

Answer:

Explanation:

In equilibrium , weight of mug is equal to restoring force .

mg = kx where m is mass of mug , k is spring constant and x is extension .

k / m = g / x = 9.8 ms⁻² / .025 m

= 392

frequency of oscillation n = [tex]\frac{1}{2\pi}\sqrt{\frac{k}{m} }[/tex]

[tex]n=\frac{1}{2\pi}\sqrt{392 }[/tex]

= 4.46 per second.

Audrey recorded the grade-level and instrument of everyone in the middle school School of Rock below. Seventh Grade Students Instrument # of Students Guitar 7 Bass 14 Drums 13 Keyboard 5 Eighth Grade Students Instrument # of Students Guitar 8 Bass 12 Drums 5 Keyboard 2 Based on these results, express the probability that a student chosen at random will play the guitar as a decimal to the nearest hundredth.

Answers

The probability that a student chosen at random will play the guitar is 0.23.

To find the probability of student will play the guitar, we need to know about how to calculate the probability.

What is the number of elements of the sample space?

Sample space is the set of total possible out comes of an experiment.Here the set of sample space contains

Seventh grade students instrument

Guitar 7Bass 14Drums 13Keyboard 5

Eighth grade students instrument

Guitar 8Bass 12Drums 5Keyboard 2  Total number of elements of sample space is 7+14+13+5+8+12+5+2=66.

What is the number of elements of the event?

Here the set of event contains the students that will play the guitar.Number of students will play the guitar or the number of elements of the event is 7+8=15.

What is the probability of student will play the guitar?

The probability can be obtained by the ratio of number of elements of event to the number of elements of the sample space.The probability of student will play the guitar is 15/66=0.23

Thus, we can conclude that the probability of student will play the guitar is 0.23.

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8) Now drop the magnetic ball of the same size down the section of copper tube. Currents are induced in the tube both above and below the falling magnet (pictured here as a disc for clarity). On the drawing below, find the direction of the induced current, the direction of the induced magnetic field, and the N/S poles for both induced currents. Explain how these induced currents slow down the falling magnet.

Answers

Answer:

Explanation:

To have a deeper understanding of this. Let's begin with the acceleration due to gravity (g), with N pointing downward.

Since magnetic field lines originate in the north, field strength decreases for the upper disk and increases for the lower disk when the disk is in the center of two disks.

According to Lenz's theorem, current-induced would be so that the magnetic field due to this induced current opposes the magnetic field due to which there is an induced current, so induced current will be clockwise for the upper disk and anticlockwise for the lower disk.

If the south pole is pointing backward, the generated current will flow anticlockwise for the upper disk and clockwise for the lower disk.

Other Questions
please help any tips greatly appreciated:) In the diagram what season is it in the Southern Hemisphere and how do you know. Please no links. Help please?!?!??!?!!!?!?!?!?!?!?!?!!?!?!? In scene 3 , lady capulet tells juliet to consider marriage because The success of an airline depends heavily on its ability to provide a pleasant customer experience. One dimension of customer service on which airlines compete is on-time arrival. The tables below contain a sample of data from delayed flights showing the number of minutes each delayed flight was late for two different airlines, Company A and Company B.Company A34 59 43 30 332 42 85 30 48110 50 10 26 7052 83 78 27 7027 90 38 52 76Company B46 63 43 33 65104 45 27 39 8475 44 34 51 6342 34 34 65 64(a) Formulate the hypotheses that can be used to test for a difference between the population mean minutes late for delayed flights by these two airlines. (Let 1 = population mean minutes late for delayed Company A flights and 2 = population mean minutes late for delayed Company B flights.)A)H0: 1 2 = 0Ha: 1 2 0B) H0: 1 2 0Ha: 1 2 > 0C)H0: 1 2 < 0Ha: 1 2 = 0D) H0: 1 2 0Ha: 1 2 = 0E) H0: 1 2 0Ha: 1 2 < 0(b) What is the sample mean number of minutes late for delayed flights for each of these two airlines?Company A______ min.Company B______ min.(c) Calculate the test statistic. (Round your answer to three decimal places.)test statistic=What is the p-value? (Round your answer to four decimal places.)p-value =Using a 0.05 level of significance, what is your conclusion?A) Reject H0. There is statistical evidence that one airline does better than the other in terms of their population mean delay timeB) Do not Reject H0. There is statistical evidence that one airline does better than the other interms of their population mean delay time. C) Do not reject H0. There is no statistical evidence that one airline does better than the other in terms of their population mean delay time.D) Reject H0. There is no statistical evidence that one airline does better than the other in terms of their population mean delay time. x-10=4 what is the answer HELP! Please help me with this.NO SCAM LINKS PLEASE A quantity of gas was cooled from 323 K to 273 K. Express this temperaturedifference in degrees Celsius and Kelvins. What do these temperaturesrepresent about the gas particles? Which temperature scale is a more accuratedepiction of this representation? Explain briefly. Need the answer ASAP!! No links Ill report Select the correct answer.Derek works in the software quality assurance department. Which tools or process should Derek use to monitor and measure changes?A.software engineering processB.software quality metricsC.SQA auditsD.reviews what does 2x=3x-10 equal Production and sales estimates for April for Ibis Co. are as follows: Estimated inventory (units), April 1 9,000 Desired inventory (units), April 30 8,000 Expected sales volume (units): Territory A 3,500 Territory B 4,750 Territory C 4,250 Unit sales price $20 The budgeted total sales for April is a.$230,000 b.$250,000 c.$270,000 d.$200,000 Which graph represents the solution for the equation 3x + 4 = -2x - 2? HURRRY PLEASE Plzzzzzzzzzzzzz help meeeeeeeeeeeeeeeee How did the European establishment of trading outposts in India drive Europeancolonization efforts there? Message behind the giving tree Donna wants to save $700 to buy a TV. She saves $17 cach week. The amount, A (in dollars), that she still needs after w weeks is given by the followingfunctionA(w)= 700 - 17wAnswer the following questions.(a) How much money does Donna still need after 6 weeks?s(b) If Donna still needs $411, how many weeks has she been saving? What happened when Great Britain and France declared war on Germany?Great Britain and France quickly defeated Germany and freed Poland.The world was plunged into a terrible war calledWorld War II.Germany withdrew from Poland and promised to stop its aggression.The United States immediately joined in the war against Germany. 4. Using the graph at right, determine how long ittakes to mow an acre of grass. what is a web client How did Rome become a great power? Describe at least 2 ways How does the author portray the French justice system through the character of valjean?