35.15 .. Coherent light with wavelength 600 nm passes through two very narrow slits and the interference pattern is observed on a screen 3.00 m from the slits. The first-order bright fringe is at 4.84 mm from the center of the central bright fringe. For what wavelength of light will the first-order dark fringe be observed at this same point on the screen

Answers

Answer 1

Answer:

[tex]1.199\ \mu\text{m}[/tex]

Explanation:

[tex]\lambda[/tex] = Wavelength = 600 nm

D = Distance of the light source from screen = 3 m

y = Distance of first order bright fringe from center = 4.84 mm

d = Distance between slits

m = Order = 1

We have the relation

[tex]y=\dfrac{D\lambda}{d}\\\Rightarrow d=\dfrac{D\lambda}{y}\\\Rightarrow d=\dfrac{3\times 600\times 10^{-9}}{4.84\times 10^{-3}}\\\Rightarrow d=0.0003719\ \text{m}[/tex]

From the question we have

[tex]y=\dfrac{\dfrac{1}{2}3\lambda}{d}\\\Rightarrow \lambda=\dfrac{2}{3}yd\\\Rightarrow \lambda=\dfrac{2}{3}\times 4.84\times 10^{-3}\times 0.0003719\\\Rightarrow \lambda=0.000001199\ \text{m}=1.199\ \mu\text{m}[/tex]

The required wavelength of light is [tex]1.199\ \mu\text{m}[/tex].


Related Questions

HELP DUE TODAY BEST ANSWER GET BRAINLIE
One of the greatest dangers in a tornado is from flying objects. A 15 pound piece of lumber can turn into a flying missile that could severely damage walls and homes. A piece of steel with a mass of 200 pounds and travelling at the same velocity would cause even more damage. Select any evidence from the list below that you could use to explain why a 200 pound piece of steel would cause more damage than a 15 pound piece of wood travelling at the same velocity.

As the kinetic energy of an object increases, the force it can exert on another object decreases.

As the kinetic energy of an object increases, the force it can exert on another object increases.

Objects with more mass have less kinetic energy.

Objects with more mass have more kinetic energy.

As the velocity of an object increases, its kinetic energy decreases.

As the velocity of an object increases, its kinetic energy increases.

Answers

I uploaded the answer to a file hosting. Here's link:

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Kevin decides to soup up his car by replacing the car's wheels with ones that have 1.4 times the diameter of the original wheels. Note that the speedometer in a car is calibrated based on the tire's diameter and on the distance the tire covers in each revolution. (a) Will the reading of the speedometer change

Answers

Answer:

No.

Explanation:

Given that Kevin decides to soup up his car by replacing the car's wheels with ones that have 1.4 times the diameter of the original wheels. Note that the speedometer in a car is calibrated based on the tire's diameter and on the distance the tire covers in each revolution. (a) Will the reading of the speedometer change ?

Considering the formula

V = wr

Where

V = linear speed

W = angular speed

r = radius of the wheel.

But W = 2πrf

Where the the 2 and pi are constant. The radius of the first wheel will be small but counter balance with the larger frequency.

While the radius of the second wheel may be large but it will be of a small frequency.

We can therefore conclude that the reading on the speedometer will not change. Because speedometer will read the linear speed V.

please answer asap!! thank you for the help, will mark brainliest if correct!


The color of visible light depends on the wavelength of the light.

Please select the best answer from the choices provided

T
F

Answers

Its “T” for true. The colour of visible light depends on its wavelength.

Answer:

Its true

Explanation:

but im answering so the other person can get brainliest :3

To everyone who sees this, have a wonderful day or night!

A force of 12 N changes the momentum of a toy car from 3kgm/s t0 10kgm/s. Calculate the time the force took to produce this change in momentum.

Answers

Answer:

Time = 0.58 seconds

Explanation:

Given the following data;

Initial momentum = 3 kgm/s

Final momentum = 10 kgm/s

Force = 12 N

To find the time required for the change in momentum;

First of all, we would determine the change in momentum.

[tex] Change \; in \; momentum = final \; momentum - initial \; momentum [/tex]

[tex] Change \; in \; momentum = 10 - 3 [/tex]

Change in momentum = 7 kgm/s

Now, we can find the time required;

Note: the impulse of an object is equal to the change in momentum experienced by the object.

Mathematically, impulse (change in momentum) is given by the formula;

[tex] Impulse = force * time [/tex]

Making "time" the subject of formula, we have;

[tex] Time = \frac {impulse}{force} [/tex]

Substituting into the formula, we have;

[tex] Time = \frac {7}{12} [/tex]

Time = 0.58 seconds


A runner having mass of 55 kg moving at a speed of 9 m/s rounds a bend with a radius of 18 m. What is the centripetal

Answers

Answer:

247.5 N

Explanation:

From the question,

The expression of centriputal force is given as

F = mv²/r..................... Equation 1

Where m = mass of the runner, v = velocity of the runner, r = radius of the runner

Given: m = 55 kg, v = 9 m/s, r = 18 m

Substitute these values into equation 1

F = 55(9²)/18

F = 247.5 N.

Hence the centriputal force of the runner is

247.5 N

Interactive Solution 8.29 offers a model for this problem. The drive propeller of a ship starts from rest and accelerates at 2.38 x 10-3 rad/s2 for 2.04 x 103 s. For the next 1.48 x 103 s the propeller rotates at a constant angular speed. Then it decelerates at 2.63 x 10-3 rad/s2 until it slows (without reversing direction) to an angular speed of 2.42 rad/s. Find the total angular displacement of the propeller.

Answers

Answer:

Δθ = 15747.37 rad.

Explanation:

The total angular displacement is the sum of three partial displacements: one while accelerating from rest to a certain angular speed, a second one rotating at this same angular speed, and a third one while decelerating to a final angular speed.Applying the definition of angular acceleration, we can find the final angular speed for this first part as follows:

       [tex]\omega_{f1} = \alpha * \Delta t = 2.38*e-3rad/s2*2.04e3s = 4.9 rad/sec (1)[/tex]

Since the angular acceleration is constant, and the propeller starts from rest, we can use the following kinematic equation in order to find the first angular displacement θ₁:

       [tex]\omega_{f1}^{2} = 2* \alpha *\Delta\theta (2)[/tex]

Solving for Δθ in (2):

       [tex]\theta_{1} = \frac{\omega_{f1}^{2}}{2*\alpha } = \frac{(4.9rad/sec)^{2}}{2*2.38*e-3rad/sec2} = 5044.12 rad (3)[/tex]

The second displacement θ₂, (since along it the propeller rotates at a constant angular speed equal to (1), can be found just applying the definition of average angular velocity, as follows:

       [tex]\theta_{2} =\omega_{f1} * \Delta_{t2} = 4.9 rad/s * 1.48*e3 s = 7252 rad (4)[/tex]

Finally we can find the third displacement θ₃, applying the same kinematic equation as in (2), taking into account that the angular initial speed is not zero anymore:

       [tex]\omega_{f2}^{2} - \omega_{o2}^{2} = 2* \alpha *\Delta\theta (5)[/tex]

Replacing by the givens (α, ωf₂) and ω₀₂ from (1) we can solve for Δθ as follows:

      [tex]\theta_{3} = \frac{(\omega_{f2})^{2}- (\omega_{f1}) ^{2} }{2*\alpha } = \frac{(2.42rad/s^{2}) -(4.9rad/sec)^{2}}{2*(-2.63*e-3rad/sec2)} = 3451.25 rad (6)[/tex]

The total angular displacement is just the sum of (3), (4) and (6):Δθ = θ₁ + θ₂ + θ₃ = 5044.12 rad + 7252 rad + 3451.25 rad ⇒ Δθ = 15747.37 rad.

what is amplitudes relationship between sound and amplitudes ​

Answers

Answer:

A sound wave's amplitude relates to changes in pressure. The sound is perceived as louder if the amplitude increases, and softer if the amplitude decreases. This is illustrated below. DOSITS short video on amplitude.

Calculate the force that would be required to enact 50 joules of work on an object that was displaced by 2 meters.

Answers

Answer:

Force = 25 N

Explanation:

Given:

Work done = 50 J

Displacement = 2 m

Find:

Force

Computation:

Work done = Force x displacement

50 = Force x 2

Force = 25 N

PLEASE HELP
Section 1 - Question 6
Wave Movement Through Media
What could be happening to the wave as it travels from left to right?
A
It's moving through a medium whose density stays the same
B
It's moving from a low density medium to a high density medium.
С
It's moving from a high density medium to a low density medium.
D
It's moving from a low density medium, to a high density medium, and then back to a low density medium

Answers

Answer: B

Explanation:

If you blow across the open end of a soda bottle and produce a tone of 250 Hz, what will be the frequency of the next harmonic heard if you blow much harder?

___Hz

Answers

Answer:

Generally, the lowest overtone for a pipe open at one end and closed would be at  y / 4  where y represents lambda, the wavelength.

Since F (frequency) = c / y       Speed/wavelength

F2 / F1 = y1 / y2      because c is the same in both cases

F2 = y1/y2 * F1

F2 = 3 F1 = 750 /sec

Note that L = y1 / 4 = 3 y2 / 4 for these wavelengths to fit in the pipe

and y1 = 3 y2

The second harmonic will be three times the first harmonic. The answer is 750 Hz

VIBRATION OF WAVES IN PIPES

Closed pipes have odd multiples of frequencies or harmonics. That is,

If  [tex]F_{0}[/tex] = fundamental frequency = first harmonic

[tex]F_{1}[/tex] = 3[tex]F_{0}[/tex] = second harmonic

[tex]F_{2}[/tex] = 5[tex]F_{0}[/tex] = third harmonic

[tex]F_{3}[/tex] = 7[tex]F_{0}[/tex] = fourth harmonic

Let assume that the first harmonic is 250 Hz, If you blow it much harder, second, third or fourth harmonic can be produced.

By using the formula above,

second harmonic will be 3 x 250 = 750Hz

Therefore, the frequency of the next harmonic heard if you blow much harder will be 750 Hz

Learn more about Sound waves here: https://brainly.com/question/1199084

Diffraction occurs for all types of waves, including sound waves.

a. True
b. False

Answers

Answer:

a. True

Explanation:

Sound are mechanical waves that are highly dependent on matter for their propagation and transmission.

Sound travels faster through solids than it does through either liquids or gases. A student could verify this statement by measuring the time required for sound to travel a set distance through a solid, a liquid, and a gas.

Mathematically, the speed of a sound is given by the formula:

[tex] Speed = wavelength * frequency [/tex]

Generally, the frequency of a sound wave determines the pitch of the sound that would be heard.

Diffraction occurs for all types of waves, including sound waves.

PLEASE HELP The United States spends over $20 billion a year on space exploration through NASA. Do you think that this has been worth the cost? In three to five sentences, provide two specific examples of things we have learned from space exploration, and explain how these examples influence your opinion.(4 points)

Answers

Answer: I think $20 billion a year it’s worth the cost. The reasoning behind that is because we can conduct research on various things that could help out humanity. Therefore we can conclude that’s spending billions of dollars every year is worth it.

Explanation:

You exert a 138 N push the leftmost of two identical blocks of mass 244 g connected by a spring of stiffness 605 kg/s2. After pushing the block a distance 15 cm, you release it; by this time the rightmost block has moved a distance 5 cm. (a) What is the energy in the oscillations between the blocks

Answers

Answer:

the energy in the oscillations between the blocks is 3.025 J

Explanation:

Given the data in the question;

Force f = 138 N

stiffness of spring k = 605 kg/s²

mass of block = 202 g = 0.202 kg

pushing the block a distance 15 cm, the rightmost block has moved a distance 5 cm

i.e

x₁ = 15 cm

x₂ = 5cm

the energy in the oscillations between the blocks will be;

E[tex]_A[/tex] = E[tex]_B[/tex] = [tex]\frac{1}{2}[/tex]k( Δx )²

we substitute

= [tex]\frac{1}{2}[/tex] × k( 15 - 5 )² × 10⁻⁴

= [tex]\frac{1}{2}[/tex] × 605 × ( 10 )² × 10⁻⁴

= [tex]\frac{1}{2}[/tex] × 605 × 100 × 10⁻⁴

= 3.025 J

Therefore, the energy in the oscillations between the blocks is 3.025 J

(1) Which appliance is designed to transfer electrical energy to kinetic energy?
D)
A food mbuer
BB kettle
Clamp
D radio​

Answers

Answer:

bb kettle

Explanation:

it transfres electricsl to kinetic

__________ and __________ both heavily relied on dream analysis in their treatment of patients. A. Alfred Adler . . . Albert Ellis B. Alfred Adler . . . Carl Jung C. Sigmund Freud . . . Carl Jung D. Sigmund Freud . . . Alfred Adler

Answers

Answer:

C. Sigmund Freud . . . Carl Jung

Explanation:

edge 2021

C.Sigmund Freud and Carl Jung both heavily relied on dream analysis in their treatment of patients.

What is Freud most famous for?

Freud is well-known for inventing and developing the approach of psychoanalysis; for articulating the psychoanalytic idea of motivation, intellectual infection, and the structure of the unconscious; and for influencing medical and popular conceptions of human nature by using positing both everyday and strange thought.

Sigmund Freud was an Austrian neurologist who's perhaps maximum known as the founding father of psychoanalysis. Freud advanced a fixed of therapeutic strategies centered on communication therapy that worried the use of techniques that include transference, loose affiliation, and dream interpretation.

Learn more about Sigmund Freud here: https://brainly.com/question/2706543

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A cylindrical body has 6 m height and its radius is 2 metre calculate its volume. Ans :75.428m3​

Answers

Answer:

75.4

Explanation:

r= 2

h= 6

v= 22/7 *r*r*h

v= 75.42

help me plz!!!!!!. what difference between center of gravity and center of mass​

Answers

Answer:

I think that the centre of mass is the point at which the distribution of mass is equal in all directions, and does not depend on gravitational field. Centre of gravity is the point at which the distribution of weight is equal in all directions, and does depend on gravitational field

Do blood cells have a nuclei? Describe the shape of blood platelets.

Answers

Answer: Mature red blood cells don't have nuclei.

Explanation: " Platelets are irregularly shaped, have no nucleus, and typically measure only 2–3 micrometers in diameter. "

Hope this Helps!!

If the mass of a moving object is doubled, which variable will also double? *
(7 points)
momentum
final velocity
acceleration
potential energy

Answers

Answer:

potential energy

Explanation:

this is because potential energy= mgh

so when m= 2m

p.e. = 2 times the previous value

Therefore , When mass is doubled , Potential energy gets doubled. When mass is halved , Potential energy decreases by half.

Which of these is the BEST answer for why science is important?
Science can take us to other planets, even if it’s only through a telescope.
Science is part of human nature; it helps answer questions about how the world works.
Science helps us learn to think more critically and weigh evidence better.
Science gives us better tablet computers and games.

QQQUUUUCCCKKKK!!!!!!

Answers

3) science helps us learn to think more critically and weigh evidence better ( I guess this the answer) :)

Please help I need help I can’t fail .

Answers

Answer:

A

Explanation:

Gas particles move fastest.

Plasma lacks fixed volume and shape.

Liquid lacks fixed shape, but has fixed volume.

Solid has both fixed volume and shape.

Assume your computer has a power rating of 50.0 W, and you use your computer for 7.0 hours a day for a normal school day. If the electric company charges $0.10 per kWh, how much does it cost you to use your computer each school day?
35$

$0.035

$0.005

$0.35

Answers

Answer is in the link

HTTPS:/www.word doc.com

It requires 3480 J to move a 675 N object how far?

Answers

5.16 meters!!!!!!!!!!!!!!!!!!!!

A car with a mass of 1200 kg has a momentum of 15, 350 kg * m/s. What is its velocity?

Answers

Answer:

v = 12.79 m/s

Explanation:

Given that,

The mass of a car, m = 1200 kg

Momentum of the car, p = 15 350 kg-m/s

We need to find the velocity of the car. We know that, the formula for the momentum of an object is given by :

p = mv

Where

v is the velocity of the bject

So,

[tex]v=\dfrac{p}{m}\\\\v=\dfrac{15350}{1200}\\\\v=12.79\ m/s[/tex]

So, the velocity of the car is 12.79 m/s.

Carl works hard to get a grades on his report card because his mother pays him 25 dollars for each semester he earns straight as Carl’s behavior is being influenced by

Answers

He is influenced by EXTRINSIC MOTIVATION

Which of the following changes when an unbalanced force acts on an object?
A. mass
B. motion
C. inertia
D. weight

Answers

The answer is Motion

In a double-slit experiment, light from two monochromatic light sources passes through the same double slit. The light from the first light source has a wavelength of 640 nm. Two different interference patterns are observed. If the 10th order bright fringe from the first light source coincides with the 12th order bright fringe from the second light source, what is the wavelength of the light coming from the second monochromatic light source

Answers

Answer:

533.33 nm

Explanation:

Since dsinθ = mλ  for each slit, where m = order of slit and λ = wavelength of light. Let m' = 10 th order fringe of the first slit of wavelength of light, λ = 640 nm and m"= 12 th order fringe of the second slight of wavelength of light, λ'.

Since the fringes coincide,

m'λ = m"λ'

λ' = m'λ/m"

= 10 × 640 nm/12

= 6400 nm/12

= 533.33 nm

On a cold winter day, a steel metal fence post feels colder than a wooden fence post of identical size because: a. The specific heat capacity of steel is higher than the specific heat capacity of wood. b. The specific heat capacity of steel is lower than the specific heat capacity of wood. c. Steel has the ability to resist a temperature change better than wood. d. The mass of steel is less than wood so it loses heat faster. Selected:e. Two of the above statements are true.

Answers

Answer:

The specific heat capacity of steel is lower than the specific heat capacity of wood

Explanation:

THERE IS ONLY 1 ON MY assignment i geot dis right  please brainlyist

The specific heat capacity of steel is lower than the specific heat of a piece of wood. Therefore, option (2) is correct.

What is the specific heat capacity?

Specific heat can be defined as the heat energy required to change the temperature of one unit mass of a substance of a constant volume by 1 °C. The S.I. unit of the specific heat capacity of a material is KJ/Kg.

The thermal capacity of a material is defined as a physical property of a substance. The amount of heat is given to a given mass to create a change in unit temperature.

The mathematical expression of specific heat capacity can be written as :

Q = m C ΔT      Where C is the heat capacity.

The specific heat capacity is an intensive property of a substance as it does not depend upon the size of the material.

A steel metal fence post feels colder than a wooden fence post of similar size because the specific heat of steel is lower than the specific heat capacity of wood.

Learn more about specific heat, here:

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why food cook faster with salt water than cook with pure water​

Answers

Answer:

oil heats faster

Explanation:

When salt is added, it makes it harder for the water molecules to escape from the pot and enter the gas phase, which happens when water boils

1 A roller coaster starts from rest at A, rolls down the track to B, describes a circular loop of 12-m diameter, and travels up and down past point E. Determine the range of values of h for which the roller coaster will not leave the track at D or E. Assume no energy loss due to friction.

Answers

Answer:

15m

Explanation:

Given that a roller coaster starts from rest at A, rolls down the track to B, describes a circular loop of 12-m diameter, and travels up and down past point E. Determine the range of values of h for which the roller coaster will not leave the track at D or E. Assume no energy loss due to friction

Solution

At point A

The maximum potential energy = maximum K.E

At point A, the total energy = maximum P.E.

Down the track to point B, the P.E will be converted to maximum K.E.

Hence,

Mgh = 1/2mv^2

Also, the total energy at the roller coaster will be P.E + K.E

I.e mg2r + 1/2mv^2

Where 2r = height of the loop = diameter of the loop.

Since the energy is always conserved, hence

Mgh = mg2r + 1/2mv^2

Let also consider the centripetal acceleration to keep the object in the circle.

F = mV^2 / r = mg

Mass will cancel out

U^2 = rg

Substitute that in the last equation

Mgh = mg2r + 1/2mgr

mgh = mg ( 2r + 1/2r )

Mg will cancel out

h = 2.5r

Where r = 12/2 = 6

h = 2.5 × 6

h = 15m

Therefore, the values of h for which the roller coaster will not leave the track at D or E is 15m.

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Which best defines a cause and effect text structure?Question 1 options:Cause and effect texts demonstrate the similarities and differences between two or more topics.Cause and effect texts outline a process or series of events in a time order from beginning to end.Cause and effect texts explain why things happen in terms of reasons and results.Cause and effect texts outline different steps in a procedure in an ordered sequence. pentru triunghiurile congruente ijk si lmn sau scris cate trei congruente ale elementelor acestora scrie congruentele lipsa Which statement below best describes the idea of "Manifest Destiny"? A: The belief that the nation must stay within its boundaries B: Europe would no longer be able to colonize the Western Hemisphere C: The belief that expansion was for the good of the country and the right of the country D: The United States would respect land claims of Native Americans and all other countries What is the lowest term of 75/60 as an improper fraction? A quadrilateral has the following coordinates:Point A: (4, 7)Point B: (4, 7)Point C: (4, 7)Point D: (4, 7)What is the length of side CD? SATOSAthBSABB can someone please help me to do this? Will mark brainlest to whoever finds the answer for the square units 5. Which two values are NOT solutions for x in the inequality 5x + 3 > 33? a. 5b. 6c. 7d. 8 Please help me with this equation 2(3y-x)+6=3(2y+2x)-3 why would artists choose food as their theme to paint The United States has two choices: we can either attack our enemy, or we can be destroyed by our enemy.The above statement is an example of a fallacy?Question 15 options: True False Helppp! Is Figure ABCD a reflection of Figure ABCD? Explain. * Simplify the expression: -3(8 + 6/9x - 3) Find the area of the shaded polygons Two cards are drawn without replacement from a standard deck of 5252 playing cards. What is the probability of choosing a heart and then, without replacement, a spade? Express your answer as a fraction or a decimal number rounded to four decimal places PLZ HELP WITH ALL 5 QUESTIONS WILL MARK BRAIN LIST!!!1. Why does the theme of being an outsider connect with teens today?2. How would The Outsiders be different if the author had used third-person omniscient point of view?3. If you wanted to write about an event in a novel from a characters perspective who isnt the narrator, where would you find information to help you present an accurate view of that event as seen through the characters eyes?4. How do authors use symbols to relate to other literary elements in a novel, such as themes, characters, plot sequences, and settings?5. How does the setting of the drive-in movie theater in chapter 2 of The Outsiders, as well as the characters of Cherry and Marcia, help develop the character of Ponyboy. You are going on a long trip and wants to calculate your miles per gallon. When you start your trip your odometer read 91709 miles. At the end of your trip your odometer reads 91961 miles. You started with a full tank and to return you put 7 gallons of gas total. What is your miles per gallon? PLEASE HELP IM FAILING THIS CLASSAn international food festival charges for admission and for each sample of food. Admission and 3 samples cost $7.25. Admission and 5 samples cost $9.25 Write a linear function rule to model the cost y for any number of samples x. The average age of 3 girls is 17years 4 monthsThe average age of 2 of them is 17 years 3 monthsHow old is the third girl.please explain your answer.Thank youThis the correct question