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Question: 

Use Fig. 30–11 and calculate the relative decay rates for $\alpha$ decay of ${^{218}_{84}\textrm{Po}}$ and ${^{214}_{84}\textrm{Po}}$.

Decay series beginning with uranium-238. Nuclei in the series are specified by a dot representing A and Z values. Half-lives are given in seconds (s), minutes (min), hours (h), days (d), or years (yr). Note that a horizontal arrow represents beta decay, whereas a diagonal line represents alpha decay. For the four nuclides shown that can decay by both alpha and beta decay, the more prominent decay (in these four cases, > 99.9%) is shown as a solid arrow and the less common decay as a dashed arrow.

Figure 30-11 Decay series beginning with $^{238}_{92}\textrm{U}$. Nuclei in the series are specified by a dot representing $A$ and $Z$ values. Half-lives are given in seconds (s), minutes (min), hours (h), days (d), or years (yr). Note that a horizontal arrow represents $\beta$ decay ($A$ does not change), whereas a diagonal line represents $\alpha$ decay ($A$ changes by 4, $Z$ changes by 2). For the four nuclides shown that can decay by both $\alpha$ and $\beta$ decay, the more prominent decay (in these four cases, >99.9%) is shown as a solid arrow and the less common decay (<0.1%) as a dashed arrow.

Source: Giancoli, Douglas C., Physics: Principles with Applications, 7th Edition, 2014.

Quick Answer: 

$8.6 \times 10^{-7} $

Giancoli 7th Edition, Chapter 30, Problem 56

(1:40)

Chapter 30, Problem 56 is solved.

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