A beam of white light passes through a uniform thickness of air. If the intensity of the scattered light in the middle of the green part of the visible spectrum is I, find the intensity (in terms of I) of scattered light in the middle of (a) the red part of the spectrum.

Video transcript

Welcome back, everyone. We are making observations about sunlight radiations. Now we are told that those radiations encounter gas molecules and this cause causes some sort of scattering phenomenon here. Now, we are told that the gas molecules scatter violet light, which violet light has a wavelength of nanometers in all directions with an intensity of eye violet. And we are told that it scatters red light with a wavelength of 600 nanometers that is scattered with an intensity of I red. Now, we are tasked with finding what is going to be the ratio between the intensity of the red scatter with respect to the intensity of the violet scatter. Now, before we get started here, I do want to acknowledge our multiple choice answers. These are the values that we are wanting to strive for. So without further ado let us begin. Well, in general, this intensity is going to be measured by one divided by the respective wavelength to the power of four. What this means is that IR divided by IV is equal to 1/ to the power of four times the reciprocal of IV. Since we are dividing by a fraction. So this will be 3 50 divided by one to the power of four multiplying straight across and plugging this into our calculator. What we get for our ratio is 0.116 which corresponds to our final answer. Choice of a. Thank you all so much for watching. I hope this video helped. We will see you all in the next one.