All questions
AP Physics 2
14.4 Electromagnetic Waves
14.3 Boundary Behavior of Waves and Polarization
AdvancedMCQMathematicalProportional Analysis17.9k
A horizontal schematic showing two incident electromagnetic waves labeled wave 1 with wavelength \lambda_1 = 600\text{ nm} and wave 2 with wavelength \lambda_2 = 300\text{ nm} traveling to the right toward a cluster of small spherical atmospheric molecules. From the center of the molecule cluster, scattered wave rays spread outward in radial directions. One scattered ray is directed upward at an angle \theta relative to the incident direction. Labels mark the scattered wave intensity I_s and scattered electric field amplitude E_s. No other labels, lines, text, or axes appear.
Scattering of two EM waves of different wavelengths by atmospheric gas molecules.
Two monochromatic electromagnetic waves, Wave 1 with wavelength \(\lambda_1 = 600\text{ nm}\) and Wave 2 with wavelength \(\lambda_2 = 300\text{ nm}\), propagate through a planetary atmosphere with identical incident intensities \(I_0\) and electric field amplitudes \(E_0\). The atmospheric gas molecules scatter light according to Rayleigh scattering, where the scattered intensity \(I_s\) is proportional to \(\lambda^{-4}\), and the EM wave intensity is proportional to the square of its electric field amplitude (\(I \propto E^2\)). What are the ratio of the scattered light intensity of Wave 2 to Wave 1, \(I_{s,2}/I_{s,1}\), and the ratio of their scattered electric field amplitudes, \(E_{s,2}/E_{s,1}\), at equal distances from the scattering molecules?

Log In to Continue

Accounts are free! Log in to try this question, see explanations, save progress, and more!

Tools for a 5