What Are Atomic-Sized Wavelengths in the Electromagnetic Spectrum?

AI Thread Summary
Atomic-sized wavelengths, around 10^-10 meters, fall within the x-ray region of the electromagnetic spectrum. The corresponding frequency for this wavelength is calculated using the equation velocity = wavelength x frequency, resulting in approximately 3 x 10^18 Hz. The discussion highlights the importance of including units in calculations, confirming that the frequency is expressed in hertz. It also notes that terminology varies across different fields, with energy often used in x-ray and gamma-ray contexts, while wavelength is preferred in others. Overall, the frequency of 3 x 10^18 Hz aligns with the x-ray spectrum, specifically within the range of 10^16 to 10^19 Hz.
stickplot
Messages
83
Reaction score
0

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)
 
Physics news on Phys.org
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
 
Back
Top