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welcome to a lecture online and now were going to show you how we derive the angle of resolution equation for circle apertures now here we have a pictorially what what this means is we have a screen that has a very small hole in it the radius of the hole is a the diameter of the hole is D which is equal to 2a and some further distance further away theres a screen and if light passes through the initials the initial small hole with wavelength lambda its going to form a diffraction pattern on the screen which is circular in nature because the aperture is circular over here and you can see that you have the central maximum the first minimum the second maximum or I should say this is the first maximum this is the second minimum second maximum third minimum and so forth so we have that circular pattern that moves out which is called the diffraction pattern and the intensity as a function of the angle theta here can be written as i sub-nought which is the intensity at the very center tim