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C e Secure https://session.masteringphysics.com/myctfitemView?assignmentProblemID-89973423 hw-08 ) 2of5 (> Problem 23.10: Ultraviolet radiation. Constants Part A There are two categories of ultraviolet light. Ultraviolet A ( UVA ) has a wavelength ranging from 320 nm to 400 nm Find the frequency ranges of UVA. 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 Enter your answers separated with commas. Hz minmax Submit Request Answer Part B Find the frequency ranges of UVB. Enter your answers separated with commas. Hz fmin, fmax =

Explanation / Answer

a)

frequency is given by

f=c/lambda

fmin ,fmax=3*108/400*10-9,3*108/320*10-9

fmin ,fmax=7.5*1014,9.375*1014Hz

b)

fmin ,fmax=3*108/320*10-9,3*108/280*10-9,

fmin ,fmax=9.375*1014,1.07*1015Hz

c)

Wave number

K=2/lambda

Kmin,Kmax=2pi/(400*10-9) ,2pi/(320*10-9)

Kmin,Kmax=1.57*107,1.96*107 rad/m

d)

Kmin,Kmax=2pi/(320*10-9) ,2pi/(280*10-9)

Kmin,Kmax=1.96*107,2.244*107 rad/m

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