Dane Sabo
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21 lines
607 B
TeX
21 lines
607 B
TeX
\section*{Problem 2}
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We can use the startup rate equation assuming \(\dot \lambda_{eff}, S = 0\) to
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solve this problem:
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\[SUR = 26.06 [dpm-sec] \frac{\dot \rho + \lambda_{eff} \rho}{\beta - \rho}\]
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To get from \(10^{-6}\%\) to \(10^{1}\%\) power in 50 minutes, we can find that:
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\[SUR = \frac{1-(-6)}{50} \frac{\text{decades}}{\text{minutes}} = 0.14
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\text{DPM}\]
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We then plug in our values (assume \(\dot \rho = 0\) with a step change):
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\[0.14 = 26.06 [dpm-sec] \frac{0 + 0.1 \rho}{\beta - \rho}\]
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\[0.14 \beta - 0.14 \rho= 2.606 \rho\]
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\[\boxed{\rho = 0.0509\beta}\]
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Thus the correct answer is C.
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