Calculating Photon Detection in Radiation Physics with 30 Degree Incident Angle

In summary, the problem involves 1000 photons with an energy of 100 keV hitting a 2 mm thick copper plate at a 30 degree angle. The question is how many of these photons can be detected on the other side by a detector that absorbs all radiation. If the angle had been 90 degrees, the calculation would have been straightforward using the number of incoming photons, linear attenuation coefficient, and thickness of the copper plate. However, at 30 degrees, the path length is greater and needs to be accurately calculated. It is assumed that the photons are either fully absorbed or pass through without any interaction, so the thickness of the copper plate should be replaced with L'=4 mm, where L'=2mm/sin30
  • #1
_Andreas
144
1
The problem: 1000 photons all having an energy of 100 keV hits a copper plate 2 mm thick. How many of these photons can be detected on the other side by a detector that absorbs all radiation? The incident angle is 30 degrees with respect to the plane of the copper plate.

If the angle had been 90 degrees I would have had no problem calculating this -- it would just have been N = N0*e^(mu*L), where N0 is the number of incoming photons, mu the linear attenuation coefficient, and L the thickness of the copper plate. But now that it says 30 degrees, I'm out of ideas.
 
Physics news on Phys.org
  • #2
The path length is greater since the beam is not striking the face at 90 degress, just figure out the correct path length through the 2mm thick slab.
 
  • #3
Thanks. I forgot that the photons are assumed either to be absorbed fully by the material, or to pass through without any interaction. So L should be be replaced by L'=4 mm, right? (That is, L'= 2mm/sin30).
 

Related to Calculating Photon Detection in Radiation Physics with 30 Degree Incident Angle

1. How do you calculate photon detection in radiation physics with a 30 degree incident angle?

In order to calculate photon detection in radiation physics with a 30 degree incident angle, you will need to use the formula D = N x (1-cosθ), where D represents the detected photons, N represents the total number of photons, and θ represents the incident angle in radians. This formula takes into account the decrease in detected photons due to the angle of incidence.

2. What is the significance of a 30 degree incident angle in photon detection?

A 30 degree incident angle is significant in photon detection because it is a commonly used angle in radiation physics experiments. It allows for a good balance between detecting enough photons and minimizing the effects of angle of incidence on the accuracy of the results.

3. How does the incident angle affect photon detection in radiation physics?

The incident angle can significantly affect photon detection in radiation physics. As the incident angle increases, the number of detected photons decreases due to the decrease in the effective detection area. This is why it is important to carefully consider the incident angle when conducting experiments in radiation physics.

4. Can photon detection be accurately calculated with a 30 degree incident angle?

Yes, photon detection can be accurately calculated with a 30 degree incident angle using the formula D = N x (1-cosθ). As long as the other variables, such as the total number of photons and the angle in radians, are accurately measured, the calculation should provide a reliable estimate of the detected photons.

5. Are there any limitations to using a 30 degree incident angle in photon detection?

While a 30 degree incident angle is commonly used in photon detection, it is not always the most optimal angle for every experiment. Depending on the setup and materials used, a different incident angle may be more appropriate for accurate photon detection. It is important to carefully consider all experimental variables when choosing the incident angle for photon detection in radiation physics.

Similar threads

Replies
14
Views
974
  • Introductory Physics Homework Help
Replies
7
Views
1K
  • Introductory Physics Homework Help
Replies
20
Views
2K
  • High Energy, Nuclear, Particle Physics
Replies
24
Views
2K
  • Introductory Physics Homework Help
Replies
7
Views
1K
  • Introductory Physics Homework Help
Replies
8
Views
2K
Replies
24
Views
2K
Replies
13
Views
2K
Replies
1
Views
1K
Back
Top