Counting Particles Passing Through a Hole

In summary, the conversation discusses the energy of photons passing through a hole and the potential diffraction of those photons. Various equations and variables are mentioned, such as E=h\nu, E=nh\nu, E=\frac{nhc}{\lambda}, and E=\frac{n\hbar^{2}k^{2}}{2m}. It is advised to provide more context and information when asking questions.
  • #1
Endarmacional
2
0
I want to find out how many paricles on random move passing through a little hole ?
There is no condition or force acting on eachof them. :biggrin: :biggrin:Thanks guys:biggrin: :biggrin:
 
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  • #2
[tex]E=h\nu[/tex]

which is the energy for one photon, then can you see what the energy of many photons is??

[tex]E=nh\nu[/tex]

where n is the number of photons, hence rearrage to get n,

i presume the photons get diffracted as they go through the hole in which case

[tex] E=\frac{nhc}{\lambda}[/tex]

where lambda is
[tex]\lambda=2d\sin\theta[/tex]

because you haven't given information on what you are given ie what values you have, I will also give you this for a particle,

[tex]E=\frac{n\hbar^{2}k^{2}}{2m}[/tex]

where

[tex]k=\frac{2\pi}{\lambda}[/tex]

and as before [tex]\lambda=2d\sin\theta[/tex]



also when asking questions, it is best to put more into them, your own workings and understanding and also a bit more in about the question, it is not easy to understand what you are asking with only 2 lines of writing

best wishes

Newo
 
Last edited:
  • #3


I would suggest conducting an experiment to accurately count the particles passing through the hole. This could involve setting up a controlled environment with the hole and a way to track the particles, such as a camera or sensor. Additionally, it would be important to consider the size and shape of the particles, as well as the size and shape of the hole, to ensure accurate and consistent measurements. It may also be helpful to repeat the experiment multiple times to gather more data and determine an average number of particles passing through the hole. Overall, careful experimentation and data analysis would be necessary to accurately determine the number of particles passing through the hole.
 

What is the purpose of counting particles passing through a hole?

The purpose of counting particles passing through a hole is to measure and analyze the number of particles that pass through a specific area or volume. This information can be used to understand the characteristics and behavior of particles and can be applied in various fields such as environmental monitoring, pharmaceuticals, and material science.

How is the counting of particles passing through a hole done?

The counting of particles passing through a hole is typically done using specialized equipment such as a particle counter. The sample is placed in a container with a hole or nozzle, and as the particles pass through the hole, they are counted and measured based on their size and concentration. The data can then be analyzed and interpreted to draw conclusions about the particles.

What factors can affect the accuracy of counting particles passing through a hole?

Several factors can affect the accuracy of counting particles passing through a hole, including the size and shape of the particles, the flow rate of the sample, and the calibration and maintenance of the equipment. Other external factors such as temperature, humidity, and air pressure can also impact the accuracy of the results.

Are there any limitations to counting particles passing through a hole?

While counting particles passing through a hole is a valuable tool, it does have some limitations. The size range of particles that can be counted is limited by the size of the hole or nozzle. Additionally, the shape and composition of particles can affect the accuracy of the count. It is essential to understand these limitations and use appropriate techniques to minimize errors.

How is the data from counting particles passing through a hole used?

The data from counting particles passing through a hole can be used in various ways, depending on the specific application. It can be used to monitor air quality, assess cleanliness in manufacturing processes, or evaluate the effectiveness of filtration systems. It can also be used to determine the size distribution of particles and identify any potential sources of contamination.

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