# Comparing Bohr's Theory and Wave Mechanics

• Lillyotv
In summary, the conversation discusses the need for wave mechanics despite its complexity in predicting the energies of hydrogen atom states, the differences between Bohr's theory and wave mechanics, the lack of space quantization in a spinning top, the difference in energy required to remove an electron from neon and sodium, and the calculation of the de Broglie wavelength for an electron moving at a given speed.
Lillyotv

## Homework Statement

1. If Bohr’s theory and wave-mechanics predicts the same results for energies of hydrogen atom states, then why do we need wave mechanics with its greater complexity?
2. Compare Bohr’s theory and wave mechanics. In what respect do they differ?
3. Why don’t we observe space quantization for spinning top?
4. Why does it take more energy to remove an electron from neon (z = 10), than from sodium (z = 11)?
5. What is the de Broglie wavelength for an electron (me = 9.11  10-11 kg) moving with a speed of 1.00  107 m/s?

None

## The Attempt at a Solution

Could just do the last one...
5.
λ = h / mv

= 6.634 * 10-34 / (9.1* 10-11* 1* 107)

= 0.72 * 10 -30 m

http://www.bcpl.net/~kdrews/bohr/bohr.html

Last edited by a moderator:
Thanks...

## 1. What is Bohr's theory?

Bohr's theory, also known as the Bohr model, is a model of the atom proposed by Niels Bohr in 1913. It describes the structure of the atom as a positively charged nucleus surrounded by negatively charged electrons in discrete energy levels or orbits.

## 2. What is wave mechanics?

Wave mechanics, also known as quantum mechanics, is a theory that describes the behavior of particles at the atomic and subatomic level. It is based on the idea that particles, such as electrons, can behave as both particles and waves.

## 3. How do the two theories differ?

The main difference between Bohr's theory and wave mechanics is their approach to describing the behavior of particles. Bohr's theory uses classical mechanics and the concept of discrete energy levels, while wave mechanics uses quantum mechanics and the concept of wave-particle duality.

## 4. Which theory is considered more accurate?

Both Bohr's theory and wave mechanics have been proven to have limitations and are not entirely accurate. However, wave mechanics is considered to be a more comprehensive and accurate theory, as it can explain phenomena that Bohr's theory cannot, such as the behavior of particles in a magnetic field.

## 5. How have these theories influenced modern understanding of the atom?

Bohr's theory and wave mechanics have both played a significant role in shaping our current understanding of the atom. While Bohr's theory laid the foundation for understanding the structure of the atom, wave mechanics has provided a more detailed and accurate explanation of its behavior. Together, these theories have led to advancements in fields such as nuclear physics, chemistry, and technology.

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