 Solution

ID: past-exam-of-the-mathematics-course-of-the-university-of-cambridge/2025/ii/paper-4/39a/b/solution

Codex  0 Created 2026-09-24 Updated 2026-09-25

When

u_{1} = V /3

, the downstream speed in the shock frame is

2 V /3

ρ_{0} V = ρ_{1} \frac{2 V}{3},

\frac{ρ _{1}}{ρ _{0}} = \frac{3}{2} .

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