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Problem 4 Easy Difficulty

Find the radius of a nucleus of (a) $_{2}^{4}$He and (b) $^{238}_{93}$U

Answer

a. $1.9 \mathrm{fm}$
b. $7.4 \mathrm{fm}$

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Top Physics 103 Educators
Andy C.

University of Michigan - Ann Arbor

Marshall S.

University of Washington

Farnaz M.

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Aspen F.

University of Sheffield

Video Transcript

in number four were asked to find the radio of these two nuclear, Um, something to use my equation. I have my equation here where the radius of the nucleus is constant of proportionality times the mass number raised the 1/3 power. So this constant is that's, um, 1.2 times 10 to the negative 15th meters. But 10 million 15th is a fem toe meter. So I'm just gonna keep these in half empty meters, so my radius will be just 1.2 centimeters times my mass number, which is this to raise the 1/3 power. So I'm a calculator. I just put two that raised to the power button 20.33333 and then multiply by 1.2 for this 181.9. It'll be something meters And over here, my mass numbers to 38 raised 1/3 power and I get 7.4 Sumpter meters

University of Virginia
Top Physics 103 Educators
Andy C.

University of Michigan - Ann Arbor

Marshall S.

University of Washington

Farnaz M.

Other Schools

Aspen F.

University of Sheffield