what is the length of a one-dimensional box in which an electron in the n=1n=1 state has the same energy as a photon with a wavelength of 500 nmnm ? express your answer in nanometers.

Answers

Answer 1

To determine the length of a one-dimensional box in which an electron in the n=1 state has the same energy as a photon with a wavelength of 500 nm, we can use the equation E = hc/λ, where E is the energy of the photon, h is Planck's constant, c is the speed of light, and λ is the wavelength of the photon. Therefore, the length of the one-dimensional box in which an electron in the n=1 state has the same energy as a photon with a wavelength of 500 nm is 250 nanometers.

We know that the energy of the electron in the n=1 state is -13.6 eV. We can convert this to joules using the conversion factor 1 eV = 1.602 x 10^-19 J. This gives us -2.18 x 10^-18 J.
Next, we can plug in the values for h, c, and λ into the equation and solve for the energy of the photon:
- E = hc/λ
- E = (6.626 x 10^-34 J s) (3.00 x 10^8 m/s) / (500 x 10^-9 m)
- E = 3.97 x 10^-19 J
Now we can set the energies of the electron and photon equal to each other and solve for the length of the one-dimensional box:
- -2.18 x 10^-18 J = 3.97 x 10^-19 J
- L = λ / 2
- L = (500 x 10^-9 m) / 2
- L = 250 nm

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Related Questions

A circuit with a total of 2 ohms of resistance and has a 6 volt battery. If an electron starts off in the circuit with 5.8 volts and takes 5 nanoseconds to reach the end of the circuit, it will have a voltage of

Answers

The final potential energy of the electron is zero Volt, (0 V)

Given;

total resistance of the circuit, R = 2 ohmsvoltage of the battery, emf = 6 Vinitial voltage of the electron, V₁ = 5.8 Vtime taken for the electron to reach the end of the circuit, t = 5 ns = 5 x 10⁻⁹ s

The driving force of an electron in the circuit is the electromotive force of the cell (emf).

The initial energy acquired by the electron decreases gradually as the electron moves across the circuit and eventually it will be used up. This is the sole reason battery discharges when the circuit is closed or delivering current.

Thus, the final potential energy of the electron at the end of the circuit is zero (0), because all the initial energy will be used up to drive the across the circuit.

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Empujamos un baúl 3 metros, para ello aplicamos una fuerza de 200 Newton. ¿Cuál es el trabajo realizado?

Answers

Answer:

Trabajo realizado = 600 Nm

Explanation:

Dados los siguientes datos;

Fuerza = 200 Newton

Distancia = 3 metros

Para encontrar el trabajo realizado; Trabajo realizado = fuerza * distancia

Sustituyendo en la ecuación, tenemos; Trabajo realizado = 200 * 3

Trabajo realizado = 600 Nm

An electron traveling through a wire in an electric circuit experiences a constant force of 6 multiply 10-19 N, always in the direction of its motion. How much work is done on the electron by this force as it travels through 0.4 m of the wire?

Answers

The work done on the electron by the constant force as it travels through 0.4 m of the wire is 2.4 × 10^-19 J.

What is the amount of work done on the electron by the constant force?

When a force acts on an object and causes it to move in the direction of the force, work is done. Work is defined as the product of the magnitude of the force and the displacement of the object in the direction of the force.

In this case, the electron experiences a constant force of 6 × 10^-19 N in the direction of its motion. The electron travels through a distance of 0.4 m along the wire.

To calculate the work done, we use the formula:

\(work = force * distance * cos(\theta)\)

where, theta is the angle between the force and displacement vectors.

In this case, the force and displacement are in the same direction, so cos(theta) = 1.

Substituting the given values into the formula, we have:

\(work = (6 * 10^-19 N) * (0.4 m) * (1)\\= 2.4 * 10^-19 J\)

Therefore, the work done on the electron by the constant force as it travels through 0.4 m of the wire is 2.4 × 10^-19 J.

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The ____ is a line drawn at a right angle to a barrier. a. normal c. node b. ray d. wave front

Answers

Answer:

a. normal

Explanation:

In the field of physics the normal is a line drawn at a right angle to a barrier. In other words the normal line is the line that is drawn perpendicular (right angle, 90 degrees) to the reflective surface of a mirror, or the particular boundary in which refraction occurs at the point of incidence of a light ray. This can be seen in the picture attached below.

The ____ is a line drawn at a right angle to a barrier. a.normalc. node b.ray d. wave front

Sketch the graph of the relation between the extension of a spiral spring and the load attached to it when it is gradually loaded up to the elastic limit. If the spring has a stiffness of 950 Nm¹, what work will be done in extending the spring by 60 mm? (SC/GCE)​

Answers

After sketching the graph of the relation between the extension of a spiral spring and the load attached to it when it is gradually loaded up to the elastic limit. If the spring has a stiffness of 950 Nm¹. The work done in extending the spring by 60 mm is 3.42 Joules.

The graph of the relation between the extension of a spiral spring and the load attached to it when gradually loaded up to the elastic limit is a linear graph that follows Hooke's Law. As the load increases, the extension of the spring also increases linearly until it reaches the elastic limit, beyond which the spring becomes permanently deformed.

To determine the work done in extending the spring by 60 mm, we can use the formula for work:

Work = Force × Distance

In this case, the stiffness of the spring is given as 950 Nm¹.

Draw a set of axes. The x-axis represents the load (force) applied to the spring, and the y-axis represents the extension of the spring.

Plot the data points on the graph. The relationship between the extension and the load is linear, following Hooke's Law. As the load increases, the extension of the spring increases proportionally.

Extend the linear portion of the graph until the elastic limit is reached. At this point, the graph becomes nonlinear as the spring reaches its maximum extension.

Determine the stiffness (k) of the spring, which is given as 950 Nm¹. The stiffness represents the slope of the linear portion of the graph.

Calculate the force (F) applied to the spring for a given extension. Use the formula F = k × x, where k is the stiffness and x is the extension of the spring.

Given that the extension of the spring is 60 mm (0.06 m), substitute this value into the equation to find the force.

F = (950 Nm¹) × (0.06 m)

Calculate the force to find the work done in extending the spring.

F = 57 N

Finally, calculate the work done by multiplying the force by the distance (extension).

Work = (57 N) × (0.06 m)

Calculate the result to find the work done in extending the spring by 60 mm.

Work = 3.42 J

Therefore, the work done in extending the spring by 60 mm is 3.42 Joules.

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How could you increase the total energy of a system consisting of a jar full of water?

A.) Allow the water to evaporate

B.) Place the jar in a freezer

C.) Leave the jar in a dark closet

D.) Heat the jar in a microwave oven

Answers

Answer:

D.) Heat the jar in a microwave oven.

Explanation:

To increase the total energy of a system consisting of a jar full of water heat the jar in a microwave oven.

What happens to the total energy content of a system when heat is added to the system?

When heat is transferred to the environment, the full energy content material of the system decreases. The device loses part of power in the form of warmth. When paintings is finished on the system, the energy content of the device increases.

What can we do to increase the kinetic energy of a substance?

Whilst remember receives warmer, the atoms or molecules inside the be counted move quicker. It is easy to growth the kinetic electricity in depend. You can warm a penny by using hanging it with a hammer—the blow reasons the molecules within the penny to jostle faster. In case you positioned a flame to a liquid, the liquid also will become warmer.

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When you drop a 0.43 kg apple, Earth ex erts a force on it that accelerates it at 9.8m / (s ^ 2) toward the earth's surface. According to New ton's third law, the apple must exert an equal but opposite force on Earth. If the mass of the earth 5.98 * 10 ^ 24 * kg what is the magnitude of the earth's acceleration toward the apple?

Answer in units of m / (s ^ 2)​

Answers

Answer:

The answer to the question is highlighted in the box

When you drop a 0.43 kg apple, Earth ex erts a force on it that accelerates it at 9.8m / (s ^ 2) toward

Which best defines gravity?

A. The tendency of objects to fall from trees

B. An attractive force between two objects due to their mass

C. The amount of matter in an object

D. The rate at which objects fall to earth

Answers

Answer:

B. An attractive force between two objects due to their mass

Explanation:

Answer:

B

Explanation:

Gravity is a force that pulls 2 objects towards each other and varies depending on mass. The earth for example is large enough to have a gravitational force that keeps us down. The sun has a gravitational force that keeps the Earth in orbit.

Which type of pipe has the lowest normal maximum working pressure?
a.) Reinforced concrete
b.) Ductile iron
c.) Polyvinyl chloride
d.) High-density polyethylene

Answers

Polyvinyl chloride (PVC) has the lowest normal maximum working pressure among the listed pipe types. PVC pipes are commonly used for household plumbing and irrigation systems, but they are not suitable for high-pressure applications due to their lower strength and durability compared to other pipe materials.

The working pressure of PVC pipes typically ranges from 100 to 150 psi, which is much lower than the working pressure of ductile iron, reinforced concrete, and high-density polyethylene pipes.

PVC is available in two fundamental types: rigid (sometimes referred to as RPVC) and flexible. PVC in its rigid form is employed in pipe construction as well as in profile applications like doors and windows. Additionally, it is utilised in the production of plastic bottles, non-food packaging, food-covering sheets, and plastic cards (like bank or membership cards). Plasticizers, the most popular of which are phthalates, can be added to make something softer and more flexible. It is also used in this form for flooring, signage, phonograph records, inflatable items, plumbing, electrical wire insulation, imitation leather, and many other uses where rubber is replaced. It is used with cotton or linen to make canvas.

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What direction does the magnetic needle of a compass point to?.

Answers

Answer:

the magnetic needle of a compass point to north and the other needle points to south

Explanation:

what is diamagnetic materials, paramagnetic materials, ferromagnetic materials?​

Answers

Answer:

Diamagnetic materials are those that some people generally think of as non-magnetic, and include water, wood, most organic compounds such as petroleum and some plastics, and many metals including copper, particularly the heavy ones with many core electrons, such as mercury, gold and bismuth.

Paramagnetic Materials: These are metals that are weakly attracted to magnets. They include aluminum, gold, and copper. The atoms of these substances contain electrons most of which spin in the same direction but not all.

Ferromagnetic materials are those materials which exhibit a spontaneous net magnetization at the atomic level, even in the absence of an external magnetic field. When placed in an external magnetic field, ferromagnetic materials are strongly magnetized in the direction of the field.

Explanation:

Aretha measures a circuit at 110 v and 240. Using ohm’s law, what can she calculate for the circuit? voltage ohms resistance current.

Answers

Therefore, depending on which two variables Aretha knows, she can use Ohm's law to calculate either the resistance or current of the circuit.

Using Ohm's law, we can calculate the resistance or current of the circuit if we know the other two variables. Ohm's law states that the current through a conductor between two points is directly proportional to the voltage across the two points and inversely proportional to the resistance between them.

So, if Aretha knows the voltage (110 V) and the resistance (240 Ω) of the circuit, she can calculate the current flowing through the circuit using the formula:

Current (I) = Voltage (V) / Resistance (R)

I = 110 V / 240 Ω

I = 0.458 A

Conversely, if Aretha knows the voltage (110 V) and the current (0.458 A) flowing through the circuit, she can calculate the resistance of the circuit using the formula:

Resistance (R) = Voltage (V) / Current (I)

R = 110 V / 0.458 A

R = 240 Ω

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A 25 kg sign is hanging at rest from a single rope.

Answers

this question doesn’t make sense

A physics teacher is designing a ballistics event for a science competition. The ceiling is 3.00m high, and the maximum velocity of the projectile will be 20m/s.

What is the maximum that the vertical component of the projectiles initial velocity could have?

Answers

The launch proyectiles of kinematics  allows to find the maximum initial vertical velocity of the body so that it just reaches the ceiling

             v_{oy} = 2.56 m / s

       

Given parameters

The ceiling height y = 3 m

To find

Maximum vertical speed

Projectile launching is an application of kinematics where on the x axis there is no acceleration or and on the y axis the acceleration is the acceleration of gravity (g = 9.8 m / s ^ 2)

In this case, the maximum vertical velocity that the body can have occurs when the velocity on the ceiling is zero.

            v_y² = v_{oy}² - 2 g y

where v and v_{oy} are the initial velocity at the ceiling e initial, respectively, g the acceleration of gravity e and the height

           0 = v_{oy}² - 2 g y

           v_{oy} = \(\sqrt{2gy}\)

           v_{oy} = \(\sqrt{2 \ 9.8 \ 3}\)

           v_{oy} = 2.56 m / s

In conclusion with the kinematic of launch projectiles we can find the maximum initial vertical velocity of the body so that it just reaches the ceiling

             v_{oy} = 2.56 m / s

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Which statement describes one of Wegener's ideas that contributed to the theory of continental drift?​

Answers

Answer:

Over tens of millions of years, the giant supercontinent Pangaea began to slowly drift apart, forming the continents as they are known today.

Explanation:

i took the active

Answer:

the continents were once connected as one landmass.

Explanation:

right on edge 2022

Don't mind this, just figuring something out

Answers

Ok I won’t at alllllll

Answer:

ok

Explanation:

Have a nice day!

Rank the three types of UV radiation in order of increasing wavelength, starting with the shortest wavelength radiation at the top of the list.

Answers

According to increasing wavelength, the three forms of UV radiation are ranked as follows: UVC, UVB, UVA

What is UV radiation?

The sun and other sources of electromagnetic radiation produce UV radiation, also known as ultraviolet radiation. It is invisible to the human eye and has a wavelength that is shorter than visible light but longer than X-rays.

Based on wavelength, UV radiation can be categorized into three groups: UVA, UVB, and UVC. The shortest wavelength of UV radiation, UVC, is absorbed by the ozone layer before it reaches the surface of the planet. The atmosphere of the Earth partially absorbs UVB because it has a somewhat longer wavelength. The majority of UV light that reaches the Earth's surface is UVA because it has the longest wavelength and is least absorbed by the atmosphere.

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A car started from rest and accelerated at 9.24 for 6.5 seconds. How much distance was covered by the car

Answers

Answer:

Just multiply the speed by time to get your distance of 60.06, and then divide it by two and you will get your final answer of 30.03

Explanation:

Hope this helps.

Look at the picture of the galaxy, above. What type of galaxy is this?
A.
spiral
B.
elliptical
C.
barred spiral
D.
irregular

Answers

Answer:

A

i hope this helped! please mark me as brainliest and 5 stars >:)

Explanation:

A waiter is carrying a tray above his head and walking at a constant velocity. If he applies a force of 5.0 newtons on the tray and covers a distance of 10.0 meters, how much work is being done?

Answers

Answer:

0 J

Explanation:

Work is the dot product of force and displacement.  In other words, it is the force times the distance traveled in the direction of the force.

W = Fd cos θ

In this case, the force is vertical and the displacement is horizontal.  So the angle between them is θ = 90°.  The work done is:

W = (5.0 N) (10.0 m) cos(90°)

W = 0 J

A fuel-filled rocket is at rest. It burns its fuel and expels hot gas. The gas has a momentum of 1,500 kg m/s backward. What is the momentum of the rocket?

Answers

A fuel-filled rocket is at rest. It burns its fuel and expels hot gas. The gas has a momentum of 1,500 kg m/s backward. So, The momentum of the rocket is -1500 kg m/s.

According to the law of conservation of momentum, in a closed system, the total momentum before and after a process remains constant.

A fuel-filled rocket that is initially at rest expels hot gas as it burns its fuel. The gas has a momentum of 1500 kg m/s backward.

We are required to determine the momentum of the rocket.

Consider the fuel-filled rocket as a system.

We have: Momentum before the burn = 0 kg m/s (since the rocket was at rest initially)Momentum after the burn = momentum of the expelled gas

We can therefore say that the initial momentum of the system was zero (0), and after the burn, the total momentum of the system remains the same as the momentum of the expelled gas.

Therefore: Momentum of rocket = - momentum of expelled gas

The negative sign signifies that the rocket's momentum is in the opposite direction of the expelled gas.

Hence, the momentum of the rocket is -1500 kg m/s.

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Core linkages are the connections between each of the corresponding 5 Ps and 5 Cs, and the linkages among one of the 5 Ps (e.g., product), and the remaining four of the 5 Cs are known as __________ linkages.

Answers

The linkages among one of the 5 Ps (e.g., product) and the remaining four of the 5 Cs are known as supplementary linkages.

These supplementary linkages help establish the relationship between a specific element of the marketing mix (such as product) and the various components of the marketing environment (such as customers, competitors, collaborators, context, and climate). By understanding these linkages, marketers can better align their marketing strategies and tactics with the needs and preferences of their target customers, as well as the broader market conditions.

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the manufacturer of a 12 v car headlight specifies it will draw a current of 6 a. you would like to check this claim with an ammeter designed to measure currents up to 10 a and having a resistance of 0.1 ohms. a. which of the two circuits in the attached figure represents a circuit where the ammeter correctly measures the current in the headlight? b) How much current (in A) would flow in the ammeter forCircuit a? c) How much current (in A) flows through the ammeter for Circuitb?

Answers

a) Circuit b represents a circuit where the ammeter correctly measures the current in the headlight.

b) The current flowing in the ammeter for Circuit a would be 6.67 A.

c) The current flowing in the ammeter for Circuit b would be 6 A.

To ensure that the ammeter correctly measures the current in the headlight, it should be placed in series with the headlight, as shown in Circuit b.

To calculate the current flowing through the ammeter in Circuit a, we can use Ohm's Law, which states that I = V/R, where I is the current, V is the voltage, and R is the resistance. In this case, the voltage across the headlight and the ammeter is 12 V, and the resistance of the ammeter is 0.1 ohms. Therefore, the current flowing through the ammeter would be I = V/R = 12/1.8 = 6.67 A.

To calculate the current flowing through the ammeter in Circuit b, we can use the same formula. Since the ammeter and the headlight are in series, they have the same current flowing through them. Therefore, the current flowing through the ammeter would be 6 A, which is the same as the current specified by the manufacturer.

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An object of known mass that can be used to establish uncertainty in measurements made with a balance is best described as a.

Answers

Answer:

standard

Explanation:

we sometimes use weights of known mass to balance with an object of unknown mass to determine that objects weight.

why stationary magnet inside a coil does not induce a electric current​

Answers

When the magnet moves closer to the coil the flux rapidly increases until the magnet is inside the coil. It can’t be induced because the flux through the coil is not changing.

How does the Coriolis effect influence the direction of the Trade Winds in the Northern Hemisphere? Does it have the same effect in the Southern Hemisphere?

Answers

Answer:

Part A

Coriolis effect is used to describe how objects which are not fixed to the ground are deflected as they travel over long distances due to the rotation of the Earth relative to the 'linear' motion of the objects

Due to the Coriolis effect the wind flowing towards the Equator from high pressure belts in the subtropical regions in both the Northern and Southern Hemispheres are deflected towards the western direction because the Earth rotates on its axis towards the east

Part B

In the Northern Hemispheres, the winds are known as northeasterly trade winds and in the Southern Hemisphere, they are known as the southeasterly trade wind. Therefore, Coriolis effect has the same effect on the direction of the Trade Winds in the Southern Hemisphere as it does in the Northern Hemisphere

Explanation:

The neighborhood joker comes up to you and is really on a roll this morning. After several “good ones” they then say “OK so you’re taking physics, right? Here’s one – if the acceleration of gravity is 9.8 m/s2 then why isn’t everything accelerating? HAHAHA”. Being a dedicated student you give this question some real thought and come up with a reasonable response. You might say:

Answers

because the acceleration of gravity only applies to you if you are currently falling, and if we’re all just standing or sitting on earth, then we can’t be having the acceleration of gravity

17) Name two ways you could decrease the potential energy of a bucket full of water sitting on a bench.

Answers

Answer: Two ways you could decrease the potential energy of a bucket full of water sitting on a bench are: -(i) Lift it in such a way that you decrease its height as compared to the bench.(ii) Put it on a stool whose height is lower than the bench.

Explanation:

The potential energy of an object has the following formula

         Potential energy = mgh

      where m = mass of the object

                   g = acceleration due to gravity

                   h = height of the object

This means that the potential energy of an object depends upon its mass, acceleration due to gravity, and height.

In the given situation we have a bucket full of water. If the mass and acceleration due to gravity are not changed, the only way the potential energy can be decreased is by reducing the height of the bucket full of water.

This can be done by: -

         (i) Lifting the bucket full of water in such a way that you

             decrease its height as compared to the bench.

        (ii) Put the bucket full of water on a stool whose height is

            lower than the bench.

Answer:

1.By decreasing it's contents- this decreases the weight of the bucket thus decreasing the potential energy of the bucket.

2.By decreasing the height of the bench we have decreased the amount of potential energy stored in the bucket

What keeps the planets from getting pulled into the sun? Choose 2
A .mass of an object
B. Suns inertia
C. Gravity between the planet and the sun
D. Gravity between the planet and the moon
E. Planet’s inertia

Answers

The two factors that prevent planets from being pulled into the Sun are option  C. Gravity between the planet and the sun, and option E. Planet's inertia.

Gravity between the planet and the Sun plays a crucial role in keeping the planets in their orbits. This gravitational force acts as a centripetal force, which constantly pulls the planets towards the Sun. However, the planets do not fall into the Sun due to their inertia.

Planet's inertia is the resistance of a planet to changes in its state of motion. Each planet has its own velocity and moves in a specific path around the Sun, known as an orbit. Due to inertia, the planet's motion tries to maintain a straight path. This creates a balance with the gravitational force that pulls it towards the Sun, resulting in a stable orbit.

In summary, the combination of the gravitational force between the planet and the Sun, and the planet's inertia, keeps the planets in their orbits and prevents them from falling into the Sun. Therefore the correct option C and E

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the latent heat of fusion of a substance is the amount of energy associated with doing which of the following to 1 kg of the substance
A. Buring it completely
B. Raising its temperature 1 c
C. Boiling it at its boiling point
D Melting it at its melting point

Answers

The answer of the question is D

Answer:Boiling at its boiling point

Explanation:

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