Find wavelength of pair producing photon

In summary, to find the energy and wavelength of the pair producing photon in the electro/position pair drift chamber, use the equations E = p c and λ = hc / E, where p = eBr and the given values for B and r.
  • #1
jennyhelp
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Homework Statement




i just have questions the one i couldn't figure it out

the eletroc/position pair produce track drift chamber has field of 0.2 weber/m^2, radius of the drift 0.025m.

using p = eBr equation to find the energy and wavelength of the pair producing photon.

with the momentum i am be able to find the wavelength and energy, but i am confuse with the wavelength pair producing photon.

any luck...

Homework Equations





The Attempt at a Solution

 
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  • #2
The equation you need is E = p c. This will give you the energy of the pair producing photon, where p is the momentum of the electron/positron. The momentum of the electron/positron can be calculated using the equation p = eBr, where e is the charge of the electron/positron, B is the magnetic field strength, and r is the radius of the drift chamber. Once you have determined the momentum, you can then use the equation E = p c to determine the energy of the pair producing photon. The wavelength of the pair producing photon can then be determined using the equation λ = hc / E, where h is Planck's constant and c is the speed of light.
 

Related to Find wavelength of pair producing photon

What is the process for finding the wavelength of a pair producing photon?

The process for finding the wavelength of a pair producing photon involves using the equation E=hc/λ, where E is the energy of the photon, h is Planck's constant, c is the speed of light, and λ is the wavelength. By rearranging the equation to solve for λ, you can determine the wavelength of the photon.

What is Planck's constant and why is it important in this process?

Planck's constant, denoted as h, is a fundamental constant in quantum mechanics that relates the energy of a photon to its frequency and wavelength. It is important in finding the wavelength of a pair producing photon because it is a key component in the equation used to calculate the wavelength.

How does the energy of the photon affect its wavelength?

The energy of a photon is directly proportional to its frequency and inversely proportional to its wavelength. This means that as the energy of the photon increases, its frequency also increases while its wavelength decreases. Therefore, the higher the energy of the photon, the shorter its wavelength will be.

Can the wavelength of a pair producing photon be calculated using other methods?

Yes, the wavelength of a pair producing photon can also be calculated using the de Broglie equation, which relates the momentum of a particle to its wavelength. However, the equation E=hc/λ is typically used for photons as it takes into account the particle's energy.

What is the significance of finding the wavelength of a pair producing photon?

Finding the wavelength of a pair producing photon is important in understanding the behavior of matter and energy at the quantum level. It also has practical applications in fields such as optics, quantum mechanics, and particle physics. Additionally, it can provide insights into the nature of the universe and its fundamental building blocks.

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