Official PYQ · 2024Set 1 · Q15Vector AnalysisMSQ1 mark

GATE EC 2024 Set 1 Q15 — Vector Analysis

Let $\rho(x, y, z, t)$ and $u(x, y, z, t)$ represent density and velocity, respectively, at a point $(x, y, z)$ and time $t$ . Assume $\frac{\partial \rho}{\partial t}$ is continuous. Let $V$ be an arbitrary volume in space enclosed by the closed surface $S$ and $\hat{n}$ be the outward unit normal of $S$ Which of the following equations is/are equivalent to $\frac{\partial \rho}{\partial t}+\nabla \cdot(\rho u)=0$ ?

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Answer: A;C

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Published 10 Oct 2026

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