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Using the given charge-to-mass ratios for electrons and protons, and knowing the magnitudes of their charges are equal, what is the ratio of the proton’s mass to the electron’s? (Note that since the charge to-mass ratios are given to only three-digit accuracy, your answer may differ from the accepted ratio in the fourth digit.)

$1.84 \times 10^{4}$

Physics 103

Chapter 30

Atomic Physics

Cornell University

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so from the Millikan experiment, we know that charge too much, My sister, If you for an l. A tune is Q E over and E is, uh, one point 76 10. Tow the element Our kun over kilogram and the same quantity for a pro tern is nine point 90 eight Tone tau seven, our kilogram end. We know that. Ah, the an an electron and proton has the same charge. So to you, e is a cure. Um p uh And of course, Electron's charge is negative. Um, but here we just consider module off the charge. So and now we want to find the man mass ratio. Uh, am Mm the over m e. And if you look at the ah, this equalities, um so if we consider the if we do, I want equation. Ah, tow the other. So let's say this is first a question. This is second and let's do it right. First told the second what we what would we get? So on the left side, we have Q e over and and divided own Q B over MP. That means multiplied and N b o ver que be. And because of thes your Q B and Q e cancels. Uh, and we have M B over an E. And on the right side, we have a ratio off this numbers. So we have our mind 76 over on 9.98 and we have 10 toe the lemons, 10 toe, uh, toe, seventh hour. And the final answer is and B and E he comes zero point 18 10 to the force.

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