Energy transition (bohrs model)

However, in reality, the Bohr model is an oversimplification and the transition energy may vary slightly for different elements. In summary, the lowest energy transition from n=2 to n=1 in hydrogen (Z=1) is 10.2 eV, and the constant does not change with elements in the Bohr model.
  • #1
mss90
29
0

Homework Statement


By using the Bohr model of the atom:
whats the lowest energy transition from the n=2 to n=1
state in Hydrogen (Z=1)

Homework Equations


En = -13.6eV*Z2/n2

The Attempt at a Solution


En = -13.6eV*Z2/n2
n=2 -> n=1 for hydrogen (Z=1)
E2= -13.6eV*12/22 =-3.4 eV
E1= -13.6eV*12/12 = -13.6 eV
deltaE = x1 – x2 = -3.4 + 13.5 = 10.2 eV

So 10.2 eV is the lowest energy transition from n2 to n1 right?

Does the constant change with elements?
 
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  • #2
The question is strangely phrased, as there is no "lowest energy" for the transition, only the transition energy. Your calculation appers correct, although you should put in some effort when writing equations: 22 instead of 22 makes it unreadable.

mss90 said:
Does the constant change with elements?
Within the limits of the Bohr model (only one electron, fixed nucleus, classical orbits), the constant is always the same.
 

Related to Energy transition (bohrs model)

What is the Bohr's model of energy transition?

The Bohr's model of energy transition is a model proposed by Niels Bohr in 1913 to explain the behavior of electrons in an atom. It states that electrons orbit around the nucleus in specific energy levels and can jump from one level to another by either emitting or absorbing energy in the form of photons.

What are the energy levels in the Bohr's model?

The Bohr's model has a series of energy levels, or shells, labeled by the letters K, L, M, N, and so on, with increasing distance from the nucleus. These energy levels have specific and discrete energy values, and electrons can move between them by either gaining or losing energy.

What causes energy transition in the Bohr's model?

The energy transition in the Bohr's model is caused by the movement of electrons between energy levels. When an electron jumps to a lower energy level, it emits energy in the form of photons. Similarly, when an electron absorbs energy, it jumps to a higher energy level.

What is the significance of the Bohr's model in modern physics?

The Bohr's model was the first successful attempt to explain the behavior of electrons in an atom, and it laid the foundation for modern quantum mechanics. Although it has its limitations, the Bohr's model is still used to teach the basics of atomic structure and energy transitions in many introductory physics courses.

How does the Bohr's model relate to the concept of energy transition in renewable energy sources?

The concept of energy transition in the Bohr's model is similar to the process of energy conversion in renewable energy sources. Just like electrons shifting between energy levels, renewable energy sources convert energy from one form to another, such as solar energy to electricity. Understanding the principles of energy transition in the Bohr's model can help in the development and optimization of renewable energy technologies.

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