Question

We know that Bohr model (i.e., the “old” quantum mechanics) for the hydrogen atom is a...

We know that Bohr model (i.e., the “old” quantum mechanics) for the hydrogen atom is a semiclassical model and is not (always) consistent with quantum mechanics. Specifically, it is not (always) consistent with the uncertainty principle. Show why.

Homework Answers

Answer #1

According to Bohr theory the electron revolve around the nucleus in circular orbits whose momentum and position is precisely defined at ant time. But according to Heisenberg's uncertainty principle the position and momentum can't to be precisely defined simultaneously. Hence Bohr's theory contradict Heisenberg's uncertainty principle.

Heidelberg's uncertainty principle is

But according to Bohr

Because ∆x = 0 and ∆p= 0.

Know the answer?
Your Answer:

Post as a guest

Your Name:

What's your source?

Earn Coins

Coins can be redeemed for fabulous gifts.

Not the answer you're looking for?
Ask your own homework help question
Similar Questions
Physical Chemistry: Ch 11 Quantum Mechanics: Model Systems and the Hydrogen Atom (a)A hydrogen atom bonded...
Physical Chemistry: Ch 11 Quantum Mechanics: Model Systems and the Hydrogen Atom (a)A hydrogen atom bonded to a surface is acting as a harmonic oscillator with a classical frequency of 6.000 × 1013 s −1 . What is the energy difference in J between quantizedenergy levels? (b) Calculate the wavelength of light that must be absorbed in order for the hydrogen atom to go from one level to another. (c) To what region of the electromagnetic spectrum does such a...
In the Bohr model of hydrogen, as the principle quantum number n increases, A.The total energy...
In the Bohr model of hydrogen, as the principle quantum number n increases, A.The total energy increases and the kinetic energy decreases B.The potential energy increases and the speed decreases C.The orbital radius increases. D.All are correct
Quantum Mechanics II (Griffiths) The hydrogen atom is in state n = 3. What is the...
Quantum Mechanics II (Griffiths) The hydrogen atom is in state n = 3. What is the energy of the state in eV? What is the degeneracy? List all possible quantum numbers l and m.
A hydrogen atom is in the n = 4 state. In the Bohr model, how many...
A hydrogen atom is in the n = 4 state. In the Bohr model, how many electron wavelengths fit around this orbit?
Calculate, using the Bohr model, the energy of the gamma quantum when the electron in a...
Calculate, using the Bohr model, the energy of the gamma quantum when the electron in a hydrogen atom transits from the n=3 to the n=2 state. Include the proper plus or minus sign to indicate whether the gamma is absorbed or emitted.
Let's use the Bohr model equations to explore some properties of the hydrogen atom. We will...
Let's use the Bohr model equations to explore some properties of the hydrogen atom. We will determine the kinetic, potential, and total energies of the hydrogen atom in the n=2 state, and find the wavelength of the photon emitted in the transition n=2?n=1. Find the wavelength for the transition n=3 ? n=2 for singly ionized helium, which has one electron and a nuclear charge of 2e. (Note that the value of the Rydberg constant is four times as great as...
Consider the Bohr model of the hydrogen atom in the ground state. Calculate the power radiated...
Consider the Bohr model of the hydrogen atom in the ground state. Calculate the power radiated classically (in the dipole approximation).
2. (A) Cite two important quantum-mechanical concepts associated with the Bohr model of the atom. (B)...
2. (A) Cite two important quantum-mechanical concepts associated with the Bohr model of the atom. (B) Cite two important additional refinements that resulted from the wave-mechanical atomic model.
Answer the following questions using the Bohr model of the hydrogen atom. a) A hydrogen atom...
Answer the following questions using the Bohr model of the hydrogen atom. a) A hydrogen atom is the n = 3 excited state when its electron absorbs a photon of energy 4.40 eV. Draw a diagram roughly to scale, of relevant energy levels for this situation. Make sure to show and label the initial energy of the H atom in the n=3 state, the energy level at which this atom loses its electron, and kinetic energy of the electron. b)What...
Apply quantum mechanical concepts to answer the following question: why does the hydrogen atom in its...
Apply quantum mechanical concepts to answer the following question: why does the hydrogen atom in its ground state have a finite size? Recall that one of the critical limitations of classical mechanics is its failure in identifying the ground state of the hydrogen atom. Obtaining such knowledge is critical for chemists to predict the “size” of the atom, crucial for understanding molecular geometries, steric effects,packing in solids, and so forth. In this problem, you apply quantum mechanics to resolve this...
ADVERTISEMENT
Need Online Homework Help?

Get Answers For Free
Most questions answered within 1 hours.

Ask a Question
ADVERTISEMENT