What is the frequency of a gamma particle with an energy of 4.5 MeV?

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SUMMARY

The frequency of a gamma particle with an energy of 4.5 MeV can be calculated using the formula E=hv, where E is the energy, h is Planck's constant (6.626 x 10^-34 J·s), and v is the frequency. The energy of 4.5 MeV is equivalent to 0.72 pJ. By rearranging the formula to solve for frequency, v = E/h, the frequency can be determined accurately. This discussion highlights the importance of understanding the relationship between energy and frequency in electromagnetic radiation.

PREREQUISITES
  • Understanding of photon energy and the equation E=hv
  • Familiarity with Planck's constant (6.626 x 10^-34 J·s)
  • Basic knowledge of gamma radiation and its properties
  • Concept of electromagnetic radiation
NEXT STEPS
  • Research the derivation and applications of the equation E=hv
  • Learn about the properties and behavior of gamma radiation
  • Explore the significance of Planck's constant in quantum mechanics
  • Investigate other forms of electromagnetic radiation and their energy-frequency relationships
USEFUL FOR

Students studying nuclear physics, physicists interested in quantum mechanics, and anyone seeking to understand the properties of gamma radiation and its frequency calculations.

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[SOLVED] (101)Gamma frequency?

Homework Statement


A gamma particle of energy 4.5 MeV is detected as a product of some nuclear reaction (4.5 MeV is 0.72 pJ). What is the frequency of this gamma radiation?


Homework Equations


?


The Attempt at a Solution


I tried using d=vt because it was the closest formula I could find in my notes that had anything to do with frequency. I assumed v=3x10^8. Of course, the answer was not correct. Could someone point me in the right direction here? I figured out every other problem but this one, and I only have 1 attempt left
 
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Hi WPCareyDevil,

What is a gamma particle? (For example, an alpha particle is a helium nuclei, a beta particle is an electron or positron.) Once you identify what it is, what is the formula for its energy?

(I'm wondering about your choice of d=vt. Is it because of the v? If so, in this equation v is velocity, not frequency.)
 
Well I have done some research and Gamma particles are elctromagnetic radiation (light emission).. E=mc^2 obviously comes to mind, and I could find the mass of the particle, but how does frequency factor in?

I used d=vt because of the t (t^-1=frequency). It was a long shot and didnt make sense to me, but it was the closest I could find and every once in a while Ill connect with a shot in the dark on Webassign.
 
That's right; gamma particles are electromagnetic radiation, and when we speak of their particlelike nature we speak of photons.

So here you need the expression for the energy of a photon. What do you get?
 
Last edited:
Ah hah! I googled around and found Planck's constant as well as the formula e=hv where v is the frequency. That was something I didnt learn in class at all. Thanks for the help Alphysicist!
 

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