Metallurgical Engineering > GATE 2022 > Vector Calculus
Given that V is a closed volume in space bounded by the surface S with unit normal n⃗. If f⃗ is any non-zero vector and ∇⃗ is the gradient operator, then the volume integral ∫V(∇⃗⋅f⃗)dV is equal to the surface integral ∫S(n⃗⋅f⃗)dS by virtue of _______.
A
Stokes Curl theorem
B
Reynolds transport theorem
C
Buckingham Pi theorem
D
Gauss divergence theorem

Correct : d

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Gauss divergence theorem GATE Metallurgical Engineering 2022 divergence theorem Gauss theorem vector calculus GATE metallurgy divergence theorem applications Gauss theorem question

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