About The Bohr Model of the Hydrogen Atom

In summary, the Bohr Model of the Hydrogen Atom is a simplified representation of the atom proposed by Niels Bohr in 1913. It explains the stability of the atom through fixed energy levels and contributed to our understanding of atomic structure, although it was later proven to be incomplete. It differs from the modern quantum mechanical model, which considers the wave-like nature of electrons. Despite its limitations, the Bohr Model was a significant breakthrough in the field of quantum mechanics.
  • #1
A B C
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Homework Statement



What energy (in eV) is required to remove the remaining electron from a singly ionized helium
atom, He+ (Z = 2)?
(a) 3.40 eV (c) 27.2 eV (e) 76.9 eV
(b) 13.6 eV (d) 54.4 eV


Homework Equations



Ei - Ef = hf

The Attempt at a Solution



Ef: the 1st level
Ei: the 2nd level
 
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  • #2
Do you know the relation between E and Z & n.

[tex]E \propto Z[/tex]
[tex]E \propto \frac{1}{{n}^{2}}[/tex]

For the ground state(n=1) of hydrogen(Z=1), E = -13.6eV

Here Z=2 & n=1.
 
Last edited:
  • #3
Thanks a lot (:
 

Related to About The Bohr Model of the Hydrogen Atom

1. What is the Bohr Model of the Hydrogen Atom?

The Bohr Model of the Hydrogen Atom is a simplified representation of the structure of the hydrogen atom proposed by Danish physicist Niels Bohr in 1913. It describes the atom as a positively charged nucleus surrounded by negatively charged electrons in specific energy levels.

2. How does the Bohr Model explain the stability of the hydrogen atom?

The Bohr Model explains the stability of the hydrogen atom by proposing that the electrons orbit the nucleus in fixed energy levels, also known as shells. These energy levels are stable and do not emit energy, unless the electron jumps from one level to another.

3. What is the difference between the Bohr Model and the modern quantum mechanical model?

The Bohr Model is a simplified version of the modern quantum mechanical model, which takes into account the wave-like nature of electrons. In the Bohr Model, electrons have fixed orbits, while in the quantum mechanical model, electrons exist in probability clouds around the nucleus.

4. How did the Bohr Model contribute to our understanding of atomic structure?

The Bohr Model was one of the first successful attempts to explain the structure of atoms and their behavior. It introduced the concept of discrete energy levels and helped scientists understand how electrons interact with the nucleus. It also laid the foundation for the development of the modern quantum mechanical model.

5. Was the Bohr Model of the Hydrogen Atom completely accurate?

No, the Bohr Model was not completely accurate. It failed to explain the behavior of atoms with more than one electron and did not take into account the wave-like nature of electrons. However, it was a significant step towards understanding atomic structure and paved the way for further discoveries and advancements in quantum mechanics.

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