A screen is separated from a double slit source by 1.2m. The distance between the slits is 0.03mm. The second order fringe (m = 2) is 4.5cm from the center line. What is the wavelength of the light? What is the distance between any two adjacent bright fringes? Sketch the light dark bands as they would appear on the screen. Graph intensity of light.

Answers

Answer 1

The wavelength of the light is 3.75 × 10^−7 m, or 375 nm.The distance between adjacent bright fringes is 1.2 cm.

To solve this problem, we can use the equation for the position of the nth order fringe:

y_n = (n λ L) / d

where y_n is the distance from the center line to the nth order fringe, λ is the wavelength of the light, L is the distance from the slits to the screen, d is the distance between the slits, and n is the order of the fringe.

We are given L = 1.2 m, d = 0.03 mm = 3 × 10^−5 m, n = 2, and y_n = 4.5 cm = 0.045 m for the second order fringe. We can solve for λ:

λ = (y_n d) / (n L) = (0.045 m × 3 × 10^−5 m) / (2 × 1.2 m) = 3.75 × 10^−7 m

So the wavelength of the light is 3.75 × 10^−7 m, or 375 nm.

To find the distance between adjacent bright fringes, we can use the equation:

Δy = λ L / d

where Δy is the distance between adjacent fringes. Plugging in the values, we get:

Δy = (λ L) / d = (3.75 × 10^−7 m × 1.2 m) / (3 × 10^−5 m) = 0.012 m = 1.2 cm

So the distance between adjacent bright fringes is 1.2 cm.

To sketch the light and dark bands, we can use the equation for the intensity of the light at a point on the screen:

I = I_0 cos^2 (πy / λ L)

where I_0 is the intensity at the center line. The intensity is maximum (bright) where the cosine function equals 1, and minimum (dark) where it equals 0. The bright fringes are spaced a distance of Δy apart, and the dark fringes are located halfway between the bright fringes. The intensity graph would look like a series of peaks and troughs with a constant distance of 1.2 cm between them.

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Answer 2

The wavelength of the light is approximately 5.0 x 10⁻⁷ m (500 nm). The distance between any two adjacent bright fringes is approximately 0.45 cm (4.5 mm).

Determine the wavelength?

To calculate the wavelength of the light, we can use the formula for the fringe spacing in a double-slit interference pattern:

y = (mλL) / d

where y is the distance from the center line to the mth order fringe, λ is the wavelength of the light, L is the separation between the screen and the double slit source, d is the distance between the slits, and m is the order of the fringe.

Given that L = 1.2 m, d = 0.03 mm (converted to meters, 0.03 x 10⁻³ m), and y = 4.5 cm (converted to meters, 4.5 x 10⁻² m), and m = 2, we can rearrange the formula to solve for λ:

λ = (yd) / (mL) = (4.5 x 10⁻² m) x (0.03 x 10⁻³ m) / (2 x 1.2 m) ≈ 5.0 x 10⁻⁷ m (500 nm).

The distance between any two adjacent bright fringes can be found using the same formula:

y = (mλL) / d

By substituting the values for m, λ, L, and d, we find:

y = (2 x 5.0 x 10⁻⁷ m x 1.2 m) / (0.03 x 10⁻³ m) ≈ 0.45 cm (4.5 mm).

The sketch provided visually represents the distribution of light and dark bands on the screen, with bright fringes alternating with dark regions. The intensity of light is typically represented by the graph of the intensity profile, showing peaks corresponding to the bright fringes and valleys corresponding to the dark regions.

Therefore, the light has a wavelength of around 500 nm and the distance between neighboring bright fringes is about 4.5 mm.

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Related Questions

Three identical resistors have an equivalent resistance 15.6 ohm when they are connected in series. What is the resistance for each resistor

Answers

Answer:

5.2 Ω.

Explanation:

What is the resistance for each resistor

Since the resistors are connected in series and each have resistance R, and their equivalent resistance is R' = 15.6 Ω.

Since they are connected in series, R' = R₁ + R₂ + R₃

Since R₁ = R₂ = R₃ = R

R' = R + R + R = 3R

R' = 3R

R = R'/3

R =  15.6 Ω/3

R =  5.2 Ω

So, the resistance of each resistor is 5.2 Ω.

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Answers

Answer:

B

Explanation:

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Calcule how long it takes a sound wave to travel trough 1.0km of water at 0C

Answers

Answer:

Explanation:

25.0 m/s

Answers: 25.0 m/s
Speed in the water is much faster than in air, the distance that sound waves travel is primarily dependent upon ocean temperature and pressure. While pressure continues to increase as ocean depth increases, the temperature of the ocean only decreases up to a certain point, after which it remains relatively stable.

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Answers

the answer is south because the air friction is the opposite side of where the plane is going if that makes sense
D.South maybe I hope it’s right

How much heat is required to raise the temperature of 2.0 kg of concrete from 10C to 30C? (The specific heat of concrete is 880 j/kg-C.)
A. 22 J
B. 88 J
C. 8800 J
D. 35200 J

Answers

Answer:B

Explanation:

A 6000 kg African elephant walks 13 meter
around the park. Determine the acceleration of
an African elephant in m/s2 if it has a work
done of 500J.

Answers

It is 18 because 500j

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How do pool players use Physics to make the balls on the pool table go where they want to?

Answers

Answer:

hi my Friend

check in this link https://youtu.be/ErFP7VmNbGk

Explanation:

a load of 600 kg is lifted by a carne up to 60 meters in 6 minutes . calculate it work and power.​

Answers

Explanation:

work=force*distance. force=load/10

___________

work=60*60=3600n

power=work/time(seconds)

Powe required is 1000

Explanation:

-Given: M= 600kg               H: 60

-Time of operation: t = 6 min = 360 seconds

-Work done in lifting boxes: w= mgh (600 x 10 x 60) = 360,000

-Power required: p=[tex]\frac{w}{t} = \frac{360000}{360} = 1000[/tex]

Let the displacement function of a particle is x(t)=(20t^2-15t+200). Find the total displacement, instantaneous velocity and instantaneous acceleration​

Answers

Answer:

A.) 39.5 m

B.) 0

C.) 60m/s^2

Explanation:

Given that a displacement function of a particle is x(t)=(20t^2-15t+200).

To Find the total displacement,

Reduce everything by dividing them by 5

X(t) = 4t^2 - 3t + 40 ...... (1)

For instantaneous velocity, differentiate x(t). That is,

dy/dt = 60t - 15 ...... (2)

But dy/dt = velocity.

If dy/dt = 0, then

60t - 15 = 0

60t = 15

t = 15/60

t = 0.25s

Substitutes t in equation (1)

Total displacement will be

X(t) = 4(0.25)^2 - 3(0.25) + 40

X(t) = 0.25 - 0.75 + 40

Total displacement = 39.5 m

To calculate instantaneous velocity, substitute t into equation (2)

V = 60 (0.25) - 15

V = 0.

and to find instantaneous acceleration, differentiate dv/dt

dv/dt = 60

Therefore, acceleration = 60 m/s^2

Neon has 10 electrons; two in the inner level and 8 in its outermost level. Will neon form bonds with other atoms?​

Answers

Answer:

no

Explanation:

this is because its valency shell is full so it wont want any other electrons in its valence shell.

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the value of acceleration due to gravity (g) will be maximum at:
.
a) 1/2 of the radius of earth

b) 1/4 of the radius of earth

c) 1/8 of the radius of earth

Answers

C) 1/8 of the radius of earth. Why? Well, the closer you get to the core of the earth, the stronger the gravitational field (acceleration due to gravity) is. Why? Because of Newton’s law of Gravitation:
Fg = GMm/r^2; as r decreases, Fg increases, and so does g.

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i’m like kinda bad at physics so ya please help

Answers

Answer:

99 joules.

Explanation:

Let m denotes mass of the object and v denotes velocity.

If mass has units of kilograms and the velocity has units of meters per second then the kinetic energy has units of joules.

Kinetic energy is an energy possessed by a body in motion.

Mass (m) = 99 kg

Velocity (v) = 2 m/s

To find kinetic energy, use the following formula:

Kinetic energy = [tex]\frac{1}{2}mv^2=\frac{1}{2}(99)(2)=99[/tex] joules

Someone Help me please

Answers

Answer:

a) Yes because spiderman isn’t part of the system (the train), so he exerts an external force on the system, causing it to slow. The sign is negative because the train is slowing negative.

b) The train was initially moving, so it had kinetic energy, the energy of movement. There isn’t the same amount anymore because spiderman did work onto the train. Work is defined by the change of kinetic energy of the system, so the train didn’t have the same amount of that type of energy at the end.

I hope this helps! :)

What does the force between electric charges depend on

Answers

Answer:

Electric force and the inverse square law

Both forces act along the line joining the objects (masses or charges). Both forces are inversely proportional to the square of the distance between the objects, this is known as the inverse-square law.

ANSWER THE ALL THE QUESTIONS IN THE FOLLOWING FOR 90 POINTS!

Answers

25

89

105

99

I don't know. I'm sorry

Please help, I’ll give brainliest!

Answers

Answer:

According to Figure 3, to purchase and install a wind turbine costs $50,000, while to purchase and install a hyrdroelectric generator costs $20,000. The hyrdroelectric generator is relatively cheaper compared to the wind turbine. While the hydroelectric generator is cheaper, it only produces 8 kilowatts of constant power output, and, on the other hand, the wind turbine produces an average of 10 kilowatts of power output. The hydroelectric generator processes constant power output, while the wind turbine processes varying power outputs, with an average of 10 kilowatts.

Answer:

wind turbines r better than hydroelectric generators

Explanation:

Which of the following Resistors A, B, C or D, would use the least power? Make
your claim, give evidence and explain your reasoning. You may use math to support
your claim.
Please Help.

Answers

i think the answer is D 10.0

A 0.15 kg. baseball flies rightward at 15m/s to hit a tennis ball flying at it from

the opposite direction of 22 m/s. The baseball and the tennis ball have a

final speed of 1.2 m/s and 13 m/s respectively, both to the right.

What is the mass of the tennis ball?

(w/solution)

Answers

Let’s use *queue dramatic voice* THE GREAT LAW OF THE CONSERVATION OF MOMENTUM!!!!!

m1v1i + m2v2i = m1v1f + m2v2f

m1v1i - m1v1f = m2(v2f - v2i)

m2 = (m1v1i - m1v1f) / (v2f - v2i)

m2 = [(0.15)(15) - (0.15)(1.2)] / (13 - -22)

Henceforth, my good sire, the mass indeed works out to a fine approximate value of:
m = 0.06 kg

That’s a pretty small tennis ball!

There is a scale with a basket on it. A brick, brick #1 is placed on the scale. The brick has a mass of 10 kg. If the brick is not moving on the scale, are the forces balanced or unbalanced?

Answers

Answer:

The forces are balanced

Explanation:

Since the brick is not moving on the scale, it means that the forces are balanced. An unbalanced force would only be present if there is motion of the brick. So, since the brick does not move, the net force on it is zero. Thus, the forces on it are balanced.

HOW does phenomenon/event IMPACTS or INFLUENCES the population and/or environment of the surrounding area

Answers

Answer:

Kindly check explanation

Explanation:

Our environment consists of various materials, structures and resources which are so naturally interrelated, the survival of a certain species depends on the wellbeing of the other. This could be buttressed from the definition of environment which simply means the entirety of factors, naturally occurring phenomenon around us. The pollution of the air affects the oxygen we breathe in due to contamination ad thus affects the health of those who Live within the affected area. Change in climatic condition, vegetation and other phenomenon will always affect the environment since the environment itself isn't just humans being but the entirety of conditions both natural occurring and others which keeps the live and the world in existence.

Please define newtons 1st law of motion.

Answers

It says an object will remain at rest unless external forces act upon it.

Explanation:

Newton's first law states that, if a body is at rest or moving at a constant speed in a straight line, it will remain at rest or keep moving in a straight line at constant speed unless it is acted upon by a force.

The power generated by the engine was just 2.984 KW. How long would this engine have to run to produce 3.60 × 104 J of work?

Answers

1 watt = 1 joule/second

1 KW = 1,000 joule/second

Work = (power) x (time)

3.6 x 10⁴ J = (2,984 joules/second) x (time)

time = (3.6 x 10⁴J) / (2,984 J/s)

time = (36,000J) / (2,984 J/s)

time = 12.06 seconds

if a person is 6.25 m away from a 60.0 w speaker, what is the sound level they are hearing?
(treat the speaker as a point source.)

Answers

Answer:

111dB

Explanation:

First, find the intensity of the sound using the formula I = Power / 4 x pi x radius ^2

So

60.0 / (4 x 3.14 (6.25)^2)

= 0.122

Then plug that into the equation to find sound level, which is 10log( I / Io)

Io being (1 x 10^-12)

So

10log(0.122 / 1 x 10^-12)

= 111dB

Hope this helps :)

A wave along a guitar string has a frequency of 540 Hz and a wavelength of 2.5 meters. What is the speed of the wave?

Answers

I believe this is the answer try it out

Which object has the most kinetic energy? A. Object 1 B. Object 2 C. Object 3 D. Object 4

Answers

Answer:

the answer is A because it has the least number but high in energy

House current is 120 volts. If a light bulb runs a current of 0.5 amps, what the resistance of the bulb? (Please please help!)

Answers

Resistance  =  (voltage) divided by (current)

                                              =  (120 V)  /  (0.5 Amp)

                                              =          240 ohms .

Explain how the readings on both meters change when the environmental conditions change.

Help please :'0

Answers

Answer:

* Temperature changes

* Changes in the tension

* Errors in the meter marks

Explanation:

When we are using several meters to make a measurement we have several aspects that can cause the readings to differ.

* Temperature changes make the dilation between readings different, at higher temperatures the material of the meter expands and the reading decreases.

* Changes in the tension with which the meter is pulled to keep it straight, in general all materials bend under the action of gravity, so you have to pull them to make them straight, if the forces are different from the material is lengthened decide Young's modulus, inducing different readings

* Errors in the meter marks, especially in the initial part that is covered by a hook, different positions of the hook change the readings.

* Structural problems, such as rust, bends that create changes in the length of the meter material.

Give Ideas to create hearing instruments to fix hearing problems in space, as you know sound waves can’t travel through empty space.

Answers

hearing test provides an evaluation of the sensitivity of a person's sense of hearing and is most often performed by an audiologist using an audiometer. An audiometer is used to determine a person's hearing sensitivity at different frequencies.

An airplane is flying at 80 kilometers per hour when a strong tail wind, traveling in the same direction at 5 kilometers per hour, hits the airplane. How can the net force acting on the airplane be calculated?


A. add the forces
B. subtract the forces
C. multiply the forces
D. divide the forces

Answers

Answer:

A.add the forces

Explanation:

since they're both going in the same direction then they should be added to get the total net force.

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The net force acting on the airplane if, An airplane is flying at 80 kilometers per hour when a strong tailwind, traveling in the same direction at 5 kilometers per hour is 85 km/hr so, option A is correct.

What is force?

Force is the influence of either pull or pushes in the body. Basically, gravitation forces, nuclear forces, and friction forces are the types of forces.

For e.g. when the wall is hit by a hand then a force is exerted by the hand on the wall as well as the wall also exerts a force on the hand. There are different laws given to Newton to understand force.

Given:

An airplane is flying at 80 kilometers per hour when a strong tailwind, traveling in the same direction at 5 kilometers per hour,

Calculate the net force acting on the airplane as shown below,

The net force acting on the airplane = The velocity of the airplane + velocity of the wind  (As they both are in the same direction)

The net force acting on the airplane = 80 km / hr + 5 km / hr

The net force acting on the airplane = 85 km / hr

Thus, the net force acting on the airplane is added.

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According to Newton’s law of universal gravitation, as the mass or one or both bodies increases, what happens to the force of attraction between the bodies?

force decreases

causes no change

force increases

Answers

Answer:

force increases

Explanation:

Newton's law of universal gravitation states that the force of attraction (gravity) acting between the Earth and all physical objects is directly proportional to the Earth's mass, directly proportional to the physical object's mass and inversely proportional to the square of the distance separating the Earth's center and that physical object.

According to Newton’s law of universal gravitation, as the mass or one or both bodies increases, the force of attraction between the bodies increases.

Mathematically, this is given by the Newton's Second Law of Motion;

Force = mass * acceleration.

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