Allied & ICAR Exam Bank • ALLIED_2690 MCQ • 1 Mark

Section 1: Engineering Mathematics

Vector Calculus

Subtopic: Stokes, Gauss and Green's theorems

Question Statement:

Gauss's Divergence Theorem relates:

Options:

  • (A) A surface integral over a closed surface to a volume integral
  • (B) A line integral to a surface integral
  • (C) A line integral to a volume integral
  • (D) Two different line integrals

Answer Key:

A

Step-by-Step Solution & Explanation

Divergence theorem states $\iint_{\partial V} \vec{F} \cdot d\vec{S} = \iiint_V (\nabla \cdot \vec{F}) dV$.
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