There are two categories of ultraviolet light. Ultraviolet A ( UVA ) has a wavel

Question

There are two categories of ultraviolet light. Ultraviolet A ( UVA ) has a wavelength ranging from 320 nm to 400 nm . It is not so harmful to the skin and is necessary for the production of vitamin D. UVB, with a wavelength between 280 nm and 320 nm , is much more dangerous, because it causes skin cancer.

Part B) Find the frequency ranges of UVB.

Enter your answers separated with commas.

fmin,fmax = ? Hz

Part C) What are the ranges of the wave numbers for UVA?

Enter your answers separated with commas.

kmin,kmax = ? rad/m

Part D) What are the ranges of the wave numbers for UVB?

Enter your answers separated with commas.

kmin,kmax= ? rad/m

Explanation / Answer

frequency = speed of light / wavelength

frequency of 280 nm wavelength = 3 * 10^8 / (280* 10^-9)

frequency of 280 nm wavelength Fmax = 1.071 * 10^15 Hz

frequency of 320 nm wavelength = 3 * 10^8 / (320 * 10^-9)

frequency of 320 nm wavelength Fmin = 9.375 * 10^14 Hz

wave number of 320 nm wave = 2 * pi / (320 * 10^-9)

wave number of 320 nm wave kmax = 19634954.0849 rad/m

wave number of 400 nm wave = 2 * pi / (400 * 10^-9)

wave number of 400 nm wave kmin = 15707963.2679 rad/m

wave number of 280 nm wave = 2 * pi / (280 * 10^-9)

wave number of 280 nm wave kmax = 22439947.5256 rad/m

wave number of 320 nm wave = 2 * pi / (320 * 10^-9)

wave number of 320 nm wave kmin = 19634954.0849 rad/m

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