GATE_AE_2027_MOCK_04_Q37
GATE 2027 Aerospace Engineering All-India Master Mock 04 (Aerospace Structures, Thin-Walled Beams & Aeroelasticity)
MCQ · 2 Marks
Engineering Mathematics • Calculus • Line, Surface and Volume Integrals (Green's/Stokes' theorems)
According to the Divergence Theorem, the surface integral of a vector field F over a closed surface S equals the volume integral of:
(A) div(F) throughout volume V
(B) curl(F) throughout volume V
(C) grad(F) over the boundary
(D) The magnitude |F|^2
Answer Key:
A
Step-by-Step Verified Solution
### Solution: Divergence Theorem: \oiint_S F . n dS = \iiint_V ( abla . F) dV. Correct: A.