Our Discord hit 10K members! 🎉 Meet students and ask top educators your questions.Join Here!

Like

Report

Numerade Educator

Like

Report

Problem 5 Medium Difficulty

To "observe" small objects, one measures the diffraction of particles whose de Broglie wavelength is approximately equal to the object's size. Find the kinetic energy (in electron volts) required for electrons to resolve (a) a large organic molecule of size $10 \mathrm{nm}$
(b) atomic features of size $0.10 \mathrm{nm},$ and $(\mathrm{c})$ a nucleus of size $10 \mathrm{fm}$. Repeat these calculations using alpha particles in place of electrons.

Answer

a.) $K E=0.01506 \mathrm{eV}$ and $K E=2.06467 \times 10^{-6} \mathrm{eV}$
b.) $K E=150.64428 \mathrm{eV}$ and $K E=0.02064 \mathrm{eV}$
c.) $K E=1.50644 \times 10^{8} \mathrm{eV}$ and $K E=2.06467203 \times 10^{6} \mathrm{eV}$

Discussion

You must be signed in to discuss.

Video Transcript

Basically, we have to find the the kinetic energy of electron, a particle inclusive electron. So some of the given that car between confuses you plank's constant, which we already know in 6.6 in Trento Divine minutes 34 and at sea in the plants constant this piece of the flight which is just equivalent to 12. 40 0.8 electrons Hold near meter. Okay. And empty square and see squad. This is a model of governance. It squad equals to 0.511 into the apartment that are between growing huge and a model for a particle smart into sea swells with applied equals. Two Today, 7 to 8.4 and return to the power six electron. Bold. Not a Jew. We know that getting a job phenomena, it's on in just the so the post part of this question, we have to go. Who did the continuity of our for particle and lambda physical stooped in hello meter. And if you know that is anything but peace. Quiet upon, um on we can ride it. Sister began. I eat just into Yeah. Okay. Be Egypt the Interpol lambda. So Andre, even possible reply by C Square. Both of them so PC Esquire upon do I'm seeing squad and being implicit PV huge be a teachable spirit upon lambda. So this week, um etc upon lambda Well, esquire upon, um, see a square. So when you put all this village over there So it's over there between control 40 point earth upon lambda, which it? 10 and a meter. Hello, squad upon and swims X squared. If you already drive, which is two in tow. Did you appoint 511 under the power things. So yeah. Okay. You cannot take another day off electron or there, which basically become 0.0 one pilot Jim. Six electron volt Under putting all this village in the question and when the police months, if you have a particles mouse, then it basically become Kartik colors and then become nothing. But that's about it about at sea voyages 12. 40 upon our it upon the Lambda Justin Well, a squad. All myself. Yeah, so I saw him when he placed the massive Although particle, this basically freedom 27 to 1.4 integrated our six over there. So can I take You have now become the stoop. 106 467 into 10 to the power minus six. Electron boehlje. So the cloud technology now we have to find in the next part we have to find dignity and alpha particle for the Lambda Continuity off the You can't ignore the telephone and the girl over here, and they don't even But did you appoint 19 millimeter on Twitter? So now basically be allergic. The same formula can take energy, which we have a little driving you see upon Lambda. Well, it's quiet upon to him. C squared is basically built on 12. 40 a point or it upon Lambda Mu 0.1 Pulis. What on? I want to in tow you 2.5 11 into 10 to the power six. So can technology over there This basically become one project a point 64 point to it. Electron bold and a part of this living be calculated for the particle Gardiner The basically become nothing, but we have just for the mass intel particle emcees credible there. So is missing 1 12 40.8 upon Did appoint one Holy Squire appall twice off the empty Esquire for the alpha particle, which is 37 2.4 into 10 to the power six electron world. So now continuity become basically 0.0 pool you go six portal a stronghold for the particle and normal next part. See, Not have together granting her a particle of in that event It even me teacher Well, im not register and Europe warned you. You veto. Yeah, the point. Geology, geology 019 millimeter needs a huge amount of so the continuity now become for the electron between etc. For lambda Hannah that when we got ready for 20 exactly that upon this land over there we can i d diligent to the power minus five squired over there and into twice off themselves Choir for the electrons for the twice off did you appoint five, 11 into 10 to the power six electron false accounting. A different tone will now become 1.5 into 1.5 in tow, 100 of our eight electrons will. This is approximately hello and pretty close too. That's and continuity for the particle. Basically 40 point of it upon 24 minutes. Five whole Esquire, upon what I saw twice off the mark. EMC squared for the robotic LPG each anything but 7 to 8.4 into 10 to the hour. Six So they can taking over their model for a particle basically become 2.6 You didn't do our six electron bold.