Plug this in for our radius, five point three timesġ0 to the negative 11. And finally, for n isĮqual to one, this was our allowed radius so we can Is nine point one one times 10 to the negative 31st kilograms. The electron so m was the mass of our electron, which Times 10 to the negative 34 divided by two pi times m. One times Planck's constant, six point six two six One, so we're talking about n is equal to one so we're This radius and we're gonna plug it in down here and then we know what these other numbers are. The velocity of this electron cause we're gonna take So if we plug in some numbers here, we can actually solve for Using Bohr's assumption for quantised angular momentum and the classical idea Times Planck's constant divided by two pi m times r, and we figured this out We derived was the velocity is equal to the integer n If you go back to the previous video, you'll see the equation that In the previous video, weĪlso calculated the velocity or we came up with anĮquation that you could use to calculate the velocity So this is, this number right here, is the radius of the smallest In the ground state, in the lowest energy state for hydrogen. And so when n is equal to one, we said this was an electron Is one so r one is equal to five point three times 10 to Radius using the Bohr model is equal to one squared times r one. So r for any integer n isĮqual to n squared times r one, for example, if you wanted And we also derived this equation, right. Point three times 10 to the negative eleventh meters, Radius of this circle, and we said this was equal to r one. And in the last video, weĬalculated this radius. Which gives our electron a velocity tangent to our circle, which we said was v in the last video. And so we just assumed the electron was going in this direction So counter-clockwise around And even though this is not reality, the Bohr model is notĮxactly what's happening, it is a useful model to think about. Model of the hydrogen atom, which has one proton in its nucleus, so here's the positiveĬharge in the nucleus, and a negatively chargedĮlectron orbiting the nucleus. Didn't watch the last video because there was too much physics, I'll just quickly summarize
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