what plays the role of confining box in a hydrogen atom.

Question

Want to see more full solutions like this?

Answer 1

Question

Chapter 36, Problem 1FTD

To determine

what plays the role of confining box in a hydrogen atom.

Expert Solution & Answer

Answer to Problem 1FTD

Quantum numbers associated with the atom plays the role of confinement box.

Explanation of Solution

Particle in a box is a quantum mechanical treatment for finding the energy levels of atoms and molecules or general systems. Hydrogen is the simplest atom that we can study. And the results associated with hydrogen would help us find the results for other hydrogen like atoms.

Here we have to find the entity that acts as the confining box if we consider hydrogen atom to be confined in a box. When we solve the Schrodinger equations of this hydrogen atom we get the various quantum numbers that make the angular momentum and energy of the system quantified.

Write the equation to get the orbital angular momentum.

L=l(l+1)ℏ

Here,

L is the angular momentum

l is the angular momentum of the atom.

Thus we can see that the angular momentum of the atom is an integral multiple of ℏ and thus it is quantified or confined. Therefore the quantum numbers that we get from solving Schrodinger equation plays the role of confining box.

Conclusion:

Quantum numbers associated with the atom plays the role of confinement box.

Want to see more full solutions like this?

Subscribe now to access step-by-step solutions to millions of textbook problems written by subject matter experts!

Students have asked these similar questions

Because you are taking physics, your friend asks you to explain the detection of gravity waves that was made by LIGO in early 2016. (See the section that discusses LIGO.) To do this, you first explain about Einstein's notion of large masses, like those of stars, causing a curvature of spacetime. (See the section on general relativity.) To demonstrate, you put a bowling ball on your bed, so that it sinks downward and creates a deep depression in the mattress. Your sheet has a checked pattern that provides a nice coordinate system, as shown in the figure below. This is an example of a large mass (the bowling ball) creating a curvature of a flat, two-dimensional surface (the mattress) into a third dimension. (Spacetime is four dimensional, so its curvature is not easily visualized.) Then, you are going to amaze your friend by projecting a marble horizontally along a section of the sheet surface that is curved downward by the bowling ball so that the marble follows a circular path, as…

Q6: Water in a river 1.6 km wide flows at a speed of 6.0 km h−1. A captain attempts to cross the river in his ferry at right angles to the bank but by the time it has reached the opposite bank the captain awakes and notices that it is 1.0 km downstream. If the captain wishes to take his boat directly across, what angle upstream must he point the boat assuming the boat speed remains the same? ( Q7: A student whirls a red-brown rubber stopper of mass 50 g on the end of a nylon string in a horizontal clockwise circle of diameter 1.2 m (as seen from above) at a constant speed of 8 m s-1. From an instant when the stopper is moving in a northerly direction, find its change in velocity after moving round (a) one-half of a revolution; (b) one-quarter of a revolution; (c) one-tenth of a revolution.

Q9: When a wedding ring is thrown horizontally out of a fifth-floor window 15 m off the ground, it lands 7.5 m out from the base of the building. Calculate the throwing speed; (a) (b) the impact velocity; (c) how long the marriage will last. Q10: A girl on a sled with a combined mass of 50.0- kg slides down a frictionless hill from rest. When she gets to the bottom of the hill, she is traveling at 3.00 m/s. How high is the hill?" m = 50.0 kg HILL v, 3.00 m/s ■ 0 (ground)

Answer 2

Question

Chapter 36, Problem 1FTD

To determine

what plays the role of confining box in a hydrogen atom.

Expert Solution & Answer

Answer to Problem 1FTD

Quantum numbers associated with the atom plays the role of confinement box.

Explanation of Solution

Particle in a box is a quantum mechanical treatment for finding the energy levels of atoms and molecules or general systems. Hydrogen is the simplest atom that we can study. And the results associated with hydrogen would help us find the results for other hydrogen like atoms.

Here we have to find the entity that acts as the confining box if we consider hydrogen atom to be confined in a box. When we solve the Schrodinger equations of this hydrogen atom we get the various quantum numbers that make the angular momentum and energy of the system quantified.

Write the equation to get the orbital angular momentum.

L=l(l+1)ℏ

Here,

L is the angular momentum

l is the angular momentum of the atom.

Thus we can see that the angular momentum of the atom is an integral multiple of ℏ and thus it is quantified or confined. Therefore the quantum numbers that we get from solving Schrodinger equation plays the role of confining box.

Conclusion:

Quantum numbers associated with the atom plays the role of confinement box.

Want to see more full solutions like this?

Subscribe now to access step-by-step solutions to millions of textbook problems written by subject matter experts!

Answer 3

Question

Chapter 36, Problem 1FTD

To determine

what plays the role of confining box in a hydrogen atom.

Expert Solution & Answer

Answer to Problem 1FTD

Quantum numbers associated with the atom plays the role of confinement box.

Explanation of Solution

Particle in a box is a quantum mechanical treatment for finding the energy levels of atoms and molecules or general systems. Hydrogen is the simplest atom that we can study. And the results associated with hydrogen would help us find the results for other hydrogen like atoms.

Here we have to find the entity that acts as the confining box if we consider hydrogen atom to be confined in a box. When we solve the Schrodinger equations of this hydrogen atom we get the various quantum numbers that make the angular momentum and energy of the system quantified.

Write the equation to get the orbital angular momentum.

L=l(l+1)ℏ

Here,

L is the angular momentum

l is the angular momentum of the atom.

Thus we can see that the angular momentum of the atom is an integral multiple of ℏ and thus it is quantified or confined. Therefore the quantum numbers that we get from solving Schrodinger equation plays the role of confining box.

Conclusion:

Quantum numbers associated with the atom plays the role of confinement box.

Want to see more full solutions like this?

Subscribe now to access step-by-step solutions to millions of textbook problems written by subject matter experts!

Answer 4

Question

Chapter 36, Problem 1FTD

To determine

what plays the role of confining box in a hydrogen atom.

Expert Solution & Answer

Answer to Problem 1FTD

Quantum numbers associated with the atom plays the role of confinement box.

Explanation of Solution

Particle in a box is a quantum mechanical treatment for finding the energy levels of atoms and molecules or general systems. Hydrogen is the simplest atom that we can study. And the results associated with hydrogen would help us find the results for other hydrogen like atoms.

Here we have to find the entity that acts as the confining box if we consider hydrogen atom to be confined in a box. When we solve the Schrodinger equations of this hydrogen atom we get the various quantum numbers that make the angular momentum and energy of the system quantified.

Write the equation to get the orbital angular momentum.

L=l(l+1)ℏ

Here,

L is the angular momentum

l is the angular momentum of the atom.

Thus we can see that the angular momentum of the atom is an integral multiple of ℏ and thus it is quantified or confined. Therefore the quantum numbers that we get from solving Schrodinger equation plays the role of confining box.

Conclusion:

Quantum numbers associated with the atom plays the role of confinement box.

Want to see more full solutions like this?

Subscribe now to access step-by-step solutions to millions of textbook problems written by subject matter experts!

Answer 5

Chapter 36, Problem 1FTD

To determine

what plays the role of confining box in a hydrogen atom.

Expert Solution & Answer

Answer to Problem 1FTD

Quantum numbers associated with the atom plays the role of confinement box.

Explanation of Solution

Particle in a box is a quantum mechanical treatment for finding the energy levels of atoms and molecules or general systems. Hydrogen is the simplest atom that we can study. And the results associated with hydrogen would help us find the results for other hydrogen like atoms.

Here we have to find the entity that acts as the confining box if we consider hydrogen atom to be confined in a box. When we solve the Schrodinger equations of this hydrogen atom we get the various quantum numbers that make the angular momentum and energy of the system quantified.

Write the equation to get the orbital angular momentum.

L=l(l+1)ℏ

Here,

L is the angular momentum

l is the angular momentum of the atom.

Thus we can see that the angular momentum of the atom is an integral multiple of ℏ and thus it is quantified or confined. Therefore the quantum numbers that we get from solving Schrodinger equation plays the role of confining box.

Conclusion:

Quantum numbers associated with the atom plays the role of confinement box.

Answer 6

Chapter 36, Problem 1FTD

To determine

what plays the role of confining box in a hydrogen atom.

Expert Solution & Answer

Answer to Problem 1FTD

Quantum numbers associated with the atom plays the role of confinement box.

Explanation of Solution

Particle in a box is a quantum mechanical treatment for finding the energy levels of atoms and molecules or general systems. Hydrogen is the simplest atom that we can study. And the results associated with hydrogen would help us find the results for other hydrogen like atoms.

Here we have to find the entity that acts as the confining box if we consider hydrogen atom to be confined in a box. When we solve the Schrodinger equations of this hydrogen atom we get the various quantum numbers that make the angular momentum and energy of the system quantified.

Write the equation to get the orbital angular momentum.

L=l(l+1)ℏ

Here,

L is the angular momentum

l is the angular momentum of the atom.

Thus we can see that the angular momentum of the atom is an integral multiple of ℏ and thus it is quantified or confined. Therefore the quantum numbers that we get from solving Schrodinger equation plays the role of confining box.

Conclusion:

Quantum numbers associated with the atom plays the role of confinement box.

Answer 7

Chapter 36, Problem 1FTD

To determine

what plays the role of confining box in a hydrogen atom.

Answer 8

Expert Solution & Answer

Answer to Problem 1FTD

Quantum numbers associated with the atom plays the role of confinement box.

Answer 9

Expert Solution & Answer

Answer 10

Expert Solution & Answer

Answer 11

Explanation of Solution

Particle in a box is a quantum mechanical treatment for finding the energy levels of atoms and molecules or general systems. Hydrogen is the simplest atom that we can study. And the results associated with hydrogen would help us find the results for other hydrogen like atoms.

Here we have to find the entity that acts as the confining box if we consider hydrogen atom to be confined in a box. When we solve the Schrodinger equations of this hydrogen atom we get the various quantum numbers that make the angular momentum and energy of the system quantified.

Write the equation to get the orbital angular momentum.

L=l(l+1)ℏ

Here,

L is the angular momentum

l is the angular momentum of the atom.

Thus we can see that the angular momentum of the atom is an integral multiple of ℏ and thus it is quantified or confined. Therefore the quantum numbers that we get from solving Schrodinger equation plays the role of confining box.

Conclusion:

Quantum numbers associated with the atom plays the role of confinement box.