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What is the de Broglie wavelength, in $\mathrm{cm},$ of a $12.4-\mathrm{g}$ hummingbird flying at $1.20 \times 10^{2} \mathrm{mph} ?(1 \text { mile }=$ $1.61 \mathrm{km} .)$

$$\lambda=\frac{6.63 \cdot 10^{-34} \cdot \frac{m^{2} \cdot k g}{s}}{0.0124 k g \cdot 53.67 \frac{m}{s}} \approx 9.96 \cdot 10^{-34} m=9.96 \cdot 10^{-32} \mathrm{cm}$$

Chemistry 101

Chapter 7

Quantum Theory and the Electronic Structure of Atoms

Electronic Structure

Drexel University

University of Toronto

Lectures

04:49

In chemistry and physics, electronic structure is the way the electrons of an atom are arranged in relationship to the nucleus. It is determined by the subshells the electrons are bound to, which are in turn determined by the principal quantum number ("n") and azimuthal quantum number ("l"). The electrons within an atom are attracted to the protons in the nucleus of that atom. The number of electrons bound to the nucleus is equal to the number of protons in the nucleus, which is called the atomic number ("Z"). The electrons are attracted to the nucleus by this mutual attraction and are bound to the nucleus. The electrons within an atom are attracted to each other and this attraction determines the electron configuration. The electron configuration is described by the term symbol, which is the letter used to identify each subshell.

16:45

In physics, the wave–particle duality is the concept that every object or process, no matter how large or how small, behaves as both a wave and a particle. The wave–particle duality is one of the central concepts in quantum mechanics.

06:17

What is the de Broglie wav…

02:23

06:21

00:58

01:32

01:01

What is the de Broglie w…

01:53

00:54

So this question we want to find the debris ugly wave length in centimeters and what we're given is were given the mass of the hungered months because 12 wait for brands and we are given the velocity of the hunting. Weren't U equals 1.20 time stands in the second MPH. And so we're calculating the wavelength of a particle with mass. And as they said, it's such a broadly wailing for which de equation is Lambda equals h provided by you where h is nice Constant 6.63 I'm stunted in 1934 general seconds. And I'm especially in this case for this kind of equation is hopeful to know that a jewell is a kilogram need a square per second squared. And so if you do, that's time. Second, you cancel that one of the seconds we just end up with seconds out here. No, why is that important? So it's important because because the talk right here has kilograms in it. This needs to be in kilograms, so we want to convert the mass found here two kilograms and so in one kilogram, right, we have 1000 grams and so that Cyril 0.0 1 to 4 kilograms and then the other part raise the velocity here. And as we can tell from the Jewell proponent, right. You need to have the velocity in meters per second. So we have to change the MPH and she meters per second. So I'm just gonna rewrite the unit some miles over ours. And in the question they give us a conversion factor between a kilometer and a mile. Yes. Uh, they give us that one mile. It falls like we're 61 kilometers. These were first gonna convert this the miles to kilometers and into meters. Eso We news their conversion factor where I want to cancel out the miles but one mile bottom e went 61 kill on and we don't stop. So now we've gotten rid of mouse. Now we're ankle monitors. I need to get two meters. And so in one kilometer you have 1000 meters. It's so that gets us to Meaders Eso the top part is known eaters and they don't stop this to make this conversion clear. So if you multiply all this up, we'll end up with meters per hour and it gives us one plants 93 I'm sent to lift it. And that's meters per hour. Now we need meters per second. So? So now if we essentially we just have to convert the hours, two seconds. We'll just do a separate. There is no time to get the hours two seconds. So we know that in one hour You know what? We have 60 minutes. And so the hour now cancels and then you get two seconds. So in one minute you have 60 seconds when it's cancelled and we're left with meters per second. The value is 53. It's seven meters per second. Right? So now we have the velocity in municipal seconds. I'm gonna circle it. They're the lawsuit in years per seconds and and we have mass in kilograms. Now we champs looking everything. And so Lamda equals nights. Constant is really being people's. Thanks. Constant. 6.63 I'm censored in negative. 34. I'm gonna write. These units will be here, so kill again. Meters square for a second. And all over the masks, which is your client. 0124 kilograms times the velocity, which is t three Southern leaders per second. Your glass. 9.96 I am stance on negative 34. And if they look at the units again, right, One of the meters cancels one of the leaders. Cancel those seconds. Cancel kilograms. Cancel my and we're just left with meters. So then they want it in its 90 meters. So when you convert that in one meter, you have 100 centimeters. And so that was being 9.96 I'm Stan. So in negative 32. And that's the answer.

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