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Problem 31 Medium Difficulty

Determine which of the following suggested decays can occur spontaneously:
(a) $_{20}^{40} \mathrm{Ca} \rightarrow \mathrm{c}^{+}+_{19}^{40} \mathrm{K}$ (b) $_{60}^{144} \mathrm{Nd} \rightarrow_{2}^{4} \mathrm{He}+\stackrel{140}{58} \mathrm{Ce}$

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Top Physics 103 Educators
Elyse G.

Cornell University

LB
Liev B.

Numerade Educator

Marshall S.

University of Washington

Zachary M.

Hope College

Video Transcript

in number 31 were asked if these nuclear actions could occur spontaneously. What first glance? This looks like a normal, you know, beta decay with the positron here. But if I look up the mass of these of the mess of this calcium 40 is 39.962 591 It's so sloppy. And the potassium, because 39 point 96399 This is more It can't be Maur. So no, this one will not occur spontaneously. The daughters always have a little less. Remember that through the energy is released in the reaction. Let's look at this one. I looked up this and this is 1 43 0.910! 083 Um, this is 1 39.905 four x 434 and then the Alfa Particle. It was also 4.0 to 602 Some adding these two together and these two together are 1 43.9080 so that's less so. Yes, this could happen. This could be spontaneous

University of Virginia
Top Physics 103 Educators
Elyse G.

Cornell University

LB
Liev B.

Numerade Educator

Marshall S.

University of Washington

Zachary M.

Hope College