De – Broglie wavelength of O_2

In summary, the De Broglie wavelength of O2 is the wavelength associated with the motion of an O2 molecule. It is inversely proportional to the mass of the molecule, meaning that smaller molecules will have a larger De Broglie wavelength. The De Broglie wavelength is significant in predicting the behavior and properties of O2 molecules. It is directly proportional to temperature, with an increase in temperature causing a decrease in wavelength. The De Broglie wavelength can be observed experimentally using electron diffraction or neutron diffraction techniques.
  • #1
Pushoam
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Homework Statement


upload_2017-12-26_17-54-23.png


Homework Equations

The Attempt at a Solution

[/B] De – Broglie wavelength of ## O_2 ## molecule is ## \lambda = \frac h p ##

Assuming that the speed of molecule is small enough to take non – relativistic calculation,

## \frac { p^2}{2m} = \frac { 3 k_B T }2 ##

## \lambda = 2.6 * 10^{-11}~ m ##

So, the correct option is (a).
 

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  • #2
Looks right.
 
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Likes Pushoam
  • #3
Thanks.
 

1. What is the De Broglie wavelength of O2?

The De Broglie wavelength of O2 is the wavelength associated with the motion of an O2 molecule. It is calculated using the equation λ = h/mv, where h is Planck's constant, m is the mass of the molecule, and v is its velocity.

2. How is the De Broglie wavelength related to the size of O2 molecules?

The De Broglie wavelength is inversely proportional to the mass of the molecule, meaning that smaller molecules will have a larger De Broglie wavelength. Since the mass of an O2 molecule is relatively small, its De Broglie wavelength is relatively large.

3. What is the significance of the De Broglie wavelength in the study of O2 molecules?

The De Broglie wavelength is significant because it relates the particle-like behavior of matter to its wave-like behavior. It allows for the prediction of the behavior and properties of O2 molecules based on their wavelength.

4. How does the De Broglie wavelength of O2 molecules change at different temperatures?

The De Broglie wavelength of O2 molecules is directly proportional to the temperature. As the temperature increases, the molecules gain more kinetic energy, causing their velocity to increase and their De Broglie wavelength to decrease.

5. Can the De Broglie wavelength of O2 molecules be observed experimentally?

Yes, the De Broglie wavelength of O2 molecules can be observed experimentally using techniques such as electron diffraction and neutron diffraction. These techniques involve passing a beam of electrons or neutrons through a sample of O2 molecules and measuring the resulting diffraction pattern, which can be used to calculate the De Broglie wavelength.

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