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Problem 3 Easy Difficulty

Find the nuclear radii of the following nuclides: (a) $_{1}^{2} \mathrm{H}$ (b) $^{60}_{27} \mathrm{Co}$ (c) $^{197}_{79} \mathrm{Au}$ (d) $_{94}^{239} \mathrm{Pu}$

Answer

a. 1.5 \mathrm{fm}

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Top Physics 103 Educators
Elyse G.

Cornell University

LB
Liev B.

Numerade Educator

Marshall S.

University of Washington

Aspen F.

University of Sheffield

Video Transcript

for number three. I'm asked to find Liam radius of each of these nuclear. I have my equation here where the average nuclear radius, Um, some things. Just a constant proportionality. Now, this is the constant. So that, or not, is one point two times something 15 meters. But this tending to 15th that is, you know, meters. That is a phantom eater. So I'm just gonna call this 1.2 centimeters. It'll make this easier less writing. Um, so for this hydrogen, I'm just gonna be you 1.2 times a is the mass number. So it's this so too raised to the third power. My calculator. I'm just using the race to the power button. So I'm going to hit the button 0.3333 1/3. Not when they have a 0.333 and then multiply it by 1.2. For this 1st 1 I'm getting 1.5 thump two meters for the 2nd 1 for cobalt here constants. 1.2, my mass numbers 60. So 60 of rays to the 600.33333 and I'm getting 4.7 some two meters for gold. my constant, My mass number raised to the 1/3 power. I get seven point. Oh, of them for both. Tony, Um, here. Mass numbers to 39. I get 7.4.

University of Virginia
Top Physics 103 Educators
Elyse G.

Cornell University

LB
Liev B.

Numerade Educator

Marshall S.

University of Washington

Aspen F.

University of Sheffield