2 1. Scattering cross-section of acrosol particles is 2.5E-12 m , absorption cross-section is 0.45E- .2 12 m Concentration of particles is N 2E7 1/m. Calculate the optical thickness and transmittance of atmosphere at this wavelength if sun zenith angle is 40 degrees and the thickness of aerosol layer is 2.5 km.

Respuesta :

Answer:

[tex]T = 3.23 \times 10^{-83}[/tex]

Explanation:

thickness of aerosol layer is 2.5 km

zenith angle is 40 degree

we know that

[tex]\tau = \epsilon_{ext} . h[/tex]

where

[tex]\epsilon_{ext} = N.\sigma_{ext}[/tex]

[tex]\epsilon_{ext}[/tex] is extinction coefficient

[tex]\sigma_{ext}[/tex] extiction cross section

N = Concentration

[tex]\sigma_{ext} = (2.5 + 0.45)\times 10^{-12} m^2[/tex]

                     [tex]= 2.95 \times 10^{-12} m^2[/tex]

[tex]\epsilon_{ext} = 2\times 10^7 \times 2.95 \times 10^{-12} m^2 \times m^{-3}[/tex]

                       [tex]= 5.9 \times 10^{-5} m^{1}[/tex]

[tex]\tau = 5.9 \times 10^{-5} m^{-1}  \times 2.5\times 10^3 m[/tex]

        [tex]= 14.75\times 10^{-2}[/tex]

transimiitance [tex]T  = e^{\frac{-\tau}{\mu}}[/tex]

                       [tex]T  = e^{\frac{- 14.75 \times 10^{-2}}{cos 40}}[/tex]

[tex]T = 3.23 \times 10^{-83}[/tex]