Consider a radioactive decay where the parent nucleus (1) decays into a daughter nucleus (2) which in turn decays into another stable daughter nucleus (3). So essentially, we have decay decay daughter nucleus N₁ N₂ №3 (a) Set up and solve the differential equation for N3(t). (b) val@ate N₁ (t) + N₂(t) + N3 & interpret. (c) Eamie N₁ (t), №₂ (t), N3 (t) at Om@llt & interpret. (d) Find the limits of N₁ (t), N₂ (t), N3 (t) ast →∞ & interpret. parent nucleus daughter nucleus
Consider a radioactive decay where the parent nucleus (1) decays into a daughter nucleus (2) which in turn decays into another stable daughter nucleus (3). So essentially, we have decay decay daughter nucleus N₁ N₂ №3 (a) Set up and solve the differential equation for N3(t). (b) val@ate N₁ (t) + N₂(t) + N3 & interpret. (c) Eamie N₁ (t), №₂ (t), N3 (t) at Om@llt & interpret. (d) Find the limits of N₁ (t), N₂ (t), N3 (t) ast →∞ & interpret. parent nucleus daughter nucleus
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Transcribed Image Text:Consider a radioactive decay where the parent nucleus (1) decays into a daughter nucleus (2) which in
turn decays into another stable daughter nucleus (3). So essentially, we have
decay
decay
1
parent
nucleus
daughter
nucleus
daughter
nucleus
N₁
№₂
N3
(a) Oet up and solve the dif@rential eq@aton for N3(t).
(b) val@ate N₁(t) + N₂(t) + N3 & interpret.
(c) Gamie N₁ (t), N₂ (t), N3 (7) at ©m@llt & interpret.
(d) Find the limits of N₁ (t), N₂ (t), N₂ (t) ast →∞0 & interpret.
3
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