What Are Atomic-Sized Wavelengths in the Electromagnetic Spectrum?

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SUMMARY

The electromagnetic spectrum region containing atomic-sized wavelengths (approximately 10^-10 meters) corresponds to X-rays and gamma rays. The calculated frequency for this wavelength is 3x10^18 Hz, which falls within the range of 10^16 to 10^19 Hz typically associated with X-rays. It is essential to include units in calculations, as the frequency is expressed in hertz (Hz). Understanding the interchangeable use of energy, wavelength, and frequency is crucial for accurately identifying electromagnetic waves.

PREREQUISITES
  • Understanding of electromagnetic spectrum regions
  • Familiarity with the equation velocity = wavelength × frequency
  • Knowledge of units of measurement (meters, hertz)
  • Basic concepts of energy in electronvolts (eV)
NEXT STEPS
  • Research the properties and applications of X-rays and gamma rays
  • Learn about the conversion between energy (eV), wavelength (m), and frequency (Hz)
  • Explore the electromagnetic spectrum and its various regions in detail
  • Investigate the historical context of measurement units in electromagnetic wave studies
USEFUL FOR

Students in physics, researchers in electromagnetic theory, and professionals working with X-ray and gamma-ray technologies will benefit from this discussion.

stickplot
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Homework Statement



What region of the electromagnetic spectrum contains wavelengths the size of an atom? (10^-10 meters) What frequency does this wavelength correspond to?

Homework Equations



velocity=wavelength(frequency)

The Attempt at a Solution



3x10^8/1x10^-10=f

i think i did everything right
but my answer keeps coming out to 3E18
which i don't think is right and i don't know what the unit would be (hertz, megahertz)
 
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stickplot said:
What region of the electromagnetic spectrum contains wavelengths the size of an atom? (10^-10 meters)
You need to look up the words, check what wavelengths correspond to x-ray, gamma-ray etc.

What frequency does this wavelength correspond to?
3x10^8/1x10^-10=f
but my answer keeps coming out to 3E18
which i don't think is right and i don't know what the unit would be (hertz, megahertz)
You need to put units in your equation.
speed (m/s) = wavelength (m) * frequency (1/s )
So the answer( frequency) is in 1/s = Hz.
Then you just have to know what the word is for 10^18 - but nobody uses the words for this band anyway.
 
there electromagnetic waves and now I am pretty sure its hertz, the only thing I am not sure about is my answer because it seems odd, really long
 
10^18 is exa-hertz, but I had to go and look it up because nobody uses it!
You can specify an electromagnetic wave by energy, wavelength or frequency interchangeably - because the speed of light is always the same you can always convert form one to another.

For historical and techncial reasons, people working in x-ray and gamma rays tend to use energy (in eV), then from UV through visible to IR they use wavelength.
In microwaves it overlaps, with communications engineers using frequency and radar people using wavelength
Then in radio we generally use frequency and finally in low frequency radio (ie long wave) we use wavelength again!
 
o ok well this is what i got for frequency 3x10^18, but I've looked at some ultraviolet spectrums and i don't know where this frequency would be located in the spectrum.
 
Wavelengths of 10nm-0.01nm , or frequency 10^16 - 10^19 are x-ray
 
o ok.. i had forgoten to swith to nanometers... thank you very much
 

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