Question

Calculate the frequency of radiation with a wavelength of 8973 (symbol following is A with a circle on top)

Answer 1

\[8973{\buildrel _{\circ} \over {\mathrm{A}}} \]is that what the wavelength is?
Do you know the definition of the \({\buildrel _{\circ} \over {\mathrm{A}}}\) unit?

Answer 2

\[1\text{ } {\buildrel _{\circ} \over {\mathrm{A}}} = 10^{-10} \text{ m}\]

Frequency and wavelength for electromagnetic waves are related by \[c = f \lambda\] where \(c\) is the speed of light in vacuum, \(2.99792458*10^8\text{ m/s}\)
\(f\) is frequency and
\(\lambda\) is wavelength in meters

Answer 3

yes that is what I was trying to say, thank you I will get back to you if i have questions

Answer 4

so the wavelength would be : 8973*10^-10?

Answer 5

yes, wavelength is \(8973*10^{-10}\text{m}\)

that gives you
\[c = f \lambda\]\[\lambda = \frac{c}{f} = \frac{2.99792458*10^8\text{ m/s}}{8973*10^{-10}\text{m}} =\]

Answer 6

0.000003341
would that be 3.3*10^14 Hz?

Answer 7

I would carry 4 decimal places to match the 4 you had for the wavelength, but yes, \[3.341*10^{14} \text{ Hz}\]

Answer 8

okay thank you so much, this helped a lot!!

Answer 9

glad to hear it!