 Solution

ID: past-exam-of-the-mphil-in-nuclear-energy-course-of-the-university-of-cambridge/2021/paper-ne1/2/f/ii/solution

The precursor exponential from part (e) has inverse period

ρ λ / (β - ρ)

. Hence

T_{prompt jump} = \frac{β - ρ}{ρ λ} = 60.0 s .

This is approximately

0.96%

shorter than the exact dominant period, so it slightly overestimates growth for these stipulated constants. Neglecting the small

Λ

contribution is more accurate here than replacing the complete frequency dependence by its tangent at the origin.

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