What Are Atomic-Sized Wavelengths in the Electromagnetic Spectrum?

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Homework Help Overview

The discussion revolves around identifying the region of the electromagnetic spectrum that corresponds to atomic-sized wavelengths, specifically around 10^-10 meters, and determining the associated frequency. Participants are exploring the relationship between wavelength and frequency using the equation for wave velocity.

Discussion Character

  • Exploratory, Conceptual clarification, Mathematical reasoning, Assumption checking

Approaches and Questions Raised

  • Participants attempt to calculate frequency using the wave equation and express uncertainty about their results and units. They question the placement of their calculated frequency within the electromagnetic spectrum and discuss the terminology associated with different frequency ranges.

Discussion Status

Some participants have provided insights into the units of frequency and the corresponding regions of the electromagnetic spectrum. There is an ongoing exploration of how to categorize the calculated frequency and where it fits among known types of electromagnetic waves.

Contextual Notes

Participants mention the need to look up terminology related to different regions of the spectrum and express confusion about the appropriate units and classifications for their calculations. There is a reference to the historical context of how different fields use various measures for electromagnetic waves.

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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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