Allied & ICAR Exam Bank • ALLIED_0060 MCQ • 1 Mark

Section 1: Engineering Mathematics

Vector Calculus

Subtopic: Stokes, Gauss and Green's theorems

Question Statement:

Gauss's Divergence Theorem converts:

Options:

  • (A) A surface integral over a closed surface into a volume integral
  • (B) A line integral into a surface integral
  • (C) A volume integral into a line integral
  • (D) A scalar field into a vector field

Answer Key:

A

Step-by-Step Solution & Explanation

Gauss's divergence theorem transforms $\iint_S \vec{F} \cdot \hat{n} dS = \iiint_V (\nabla \cdot \vec{F}) dV$.
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