![]() Dark fringes are located at angles given by sine of theta M equals M lambda over D. Now the key difference in the math between the single slit and the double slit experiment is that in the single slit experiment you only have an equation for dark fringes, in the double slit we have two equations one for the bright fringes one for the dark fringes for the single slit we only have one for the dark fringes. ![]() Just like we did for the double slit experiment we talked about the single slit conceptually and now we want to actually talk about the mathematics of solving single slit problems where are these fringes actually located. Comes a smaller amplitude for the interfered wave smaller amplitude means its darker. Other times you can have a wave arrive at a peak one wave arrive at a peak and another wave arrives at a trough and when you have a peak and a trough meeting you have destructive interference and light that destructively interferes produces a dark spot or a dark fringe because with destructive interference. They're both at a peak right when they arrive on the screen they're both at a peak this produces constructive interference and light that constructively interferes produces bright fringes the amplitude of the light increases under constructive interference. Sometimes two beams of light will arrange themselves so that when they arrive. Let me minimize myself so we can see this figure, like in a double slit the diffraction pattern is produced due to interference.The big difference between the double slit and the single slit is that in the double slit you actually have two sources of light that are interfering in the single slit you have one source of light it's just that light leaving at the top part of the slit and light leaving at the bottom part of the slit does not leave at the same angle light leaving different parts of the slit leave at different angles so you have all of these different angles that the light can travel at leaving both slits. That only applies to the central bright fringe all of the dark fringes have the same width in the single slit, just as they did in the double slit experiment. Hey guys, in this video we're going to talk about single slit diffraction so what happens to the light as it passes through a single slit as opposed to what we saw before with the double slit alright let's get to it.Now light shown through a double slit had unexpected results as we talked about if you don't consider diffraction if you do not consider diffraction then it's an unobvious result and obviously back before they understood diffraction they had certain expectations for the experiment and the experiment turned out differently likewise light shown through a single slit also displays the same sort of unexpected result which we call a diffraction pattern which is alternating peaks sorry alternating spots of brightness and darkness.The big difference between the double slit experiment and the single slit experiment is concerned with the central bright spot in a double slit the central bright spot is just as wide as all of the others it's the same width as all the others so every single bright spot across the entire screen is going to be of uniform but in a single slit the central bright spot is actually twice as large as all of the other ones it's also considerably brighter so that central one is definitely going to be larger than any of the other bright ones but all the other bright spots all of the bright fringes are going to have the same width. ![]()
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