Energy of Gamma Ray Photon with Wavelength h

In summary: V) of a gamma ray photon with the wavelength h (Planck's length) can be calculated using the formula E=hf, where h is the Planck constant, f is the frequency, and c is the speed of light. Additionally, the frequency can be determined from the wavelength using the formula c=λf, where c is the speed of light and λ is the wavelength.
  • #1
Daniel Petka
124
12
What would be the energy (eV) of a gamma ray photon with the wavelength h (Planck's length)?
 
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  • #2
Daniel Petka said:
What would be the energy (eV) of a gamma ray photon with the wavelength h (Planck's length)?
Have you tried to look it up? ##h## usually denotes the Planck constant which is not a length. Do you know the two formulas, that connect the energy with the frequency and the frequency with the wavelength of electromagnetic waves?
 
  • #3
E=hf
 
  • #4
What's the 2nd?
 
  • #5
Daniel Petka said:
What's the 2nd?
The relationship between the wavelength and the frequency. (As an aside, this one is true for all waves of all types, not just light).

You have the one that let's you calculate the energy from the frequency, so if you can just get the frequency from the wavelength you'll be able to get the energy from the wavelength.
 
  • #6
So what's the formula? [emoji14]
 
  • #7
Daniel Petka said:
So what's the formula? [emoji14]
What does frequency stand for, and what is wavelength?
 
  • #8
Frequency: number of occurrences/time unit (Hz)

Wavelength: distance between the peaks of a wave (nm)

Now what's the formula? [emoji851]
 
  • #9
Thus the propagation velocity is distance between peaks times peaks per seconds. In case of light it is ##c=\lambda \cdot f\,.## With ##c## being constant, you can calculate one from the other. With the energy formula you have all what's needed.
 
  • #10
Ok
 

What is the energy of a gamma ray photon with a given wavelength?

The energy of a gamma ray photon can be calculated using the equation E = hc/λ, where h is Planck's constant (6.626 x 10^-34 J*s), c is the speed of light (3.00 x 10^8 m/s), and λ is the wavelength of the photon in meters.

How does the energy of a gamma ray photon change with wavelength?

As the wavelength of a gamma ray photon decreases, its energy increases. This is because the energy of a photon is inversely proportional to its wavelength.

What is the relationship between energy and frequency of a gamma ray photon?

The energy of a gamma ray photon is directly proportional to its frequency, as described by the equation E = hf, where h is Planck's constant and f is the frequency of the photon in hertz (Hz).

Can the energy of a gamma ray photon be measured experimentally?

Yes, the energy of a gamma ray photon can be measured using instruments such as a gamma ray spectrometer or a gamma ray detector. These instruments can detect and measure the energy of gamma ray photons emitted from a radioactive source.

How is the energy of a gamma ray photon used in scientific research?

The energy of a gamma ray photon is used in a variety of scientific research fields, such as nuclear physics, astrophysics, and medical imaging. Scientists can use the energy of gamma ray photons to study the properties of matter, understand the composition of stars and galaxies, and diagnose and treat medical conditions.

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