What is the frequency range of ultraviolet radiation?

[wilson_chem90]

Ultraviolet radiation is part of the electromagnetic spectrum that has wavelengths in the range of 200 nm to 400 nm. Given that the speed of all forms of electromagnetic radiation is 3.0 x 10^8 m/s, calculate the frequency range of ultraviolet radiation.



Relevant equations:
V = f(wavelength)

vshallow/(wavelength) shallow = vdeep/(wavelength) deep



The attempt at a solution:

vshallow/(wavelength)shallow = vdeep/(wavelength)deep

(3.0 x 10^8 m/s) / (4.0 x 10^-7m) = (3.0 x 10^8 m/s) / (2.0 x 10^-7m)

(7.5 x 10^14 Hz) = (1.5 x 10^15 Hz)

f = f2 - f1
= (1.5 x 10^15 Hz) - (7.5 x 10^14 Hz)
= 7.5 x 10^14 Hz

I'm not sure if this is correct, but can someone please confirm? thanks

 

[tiny-tim]

Hi wilson_chem90!

(try using the X² tag just above the Reply box )

Yes, your calculations are fine

(but I wonder whether by "range" they just want you to say "the range is from 7.5 x 10¹⁴ Hz to 1.5 x 10¹⁵ Hz" ?)

 

[wilson_chem90]

thank you very much, i never thought of that. it makes more sense. I'll just put both answers just in case. Thank you!

 

[wilson_chem90]

actually the way i answered would probably be the net frequency, so yours makes a lot more sense.

 

[tiny-tim]

goldfishsense! ​