GATE EE 2022 Set 1 — Question 52

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MCQ+2 / -0.67EasyGradient, Divergence & CurlVector CalculusEngineering MathematicsLine, Surface & Volume Integrals

Engineering Mathematics → Vector Calculus → Gradient, Divergence & Curl

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Question

Let E(x,y,z)=2x2i^+5yj^+3zk^\vec{E}(x, y, z) = 2x^2 \hat{i} + 5y \hat{j} + 3z \hat{k}. The value of V(E)dV\iiint_V (\nabla \cdot \vec{E}) dV, where VV is the volume enclosed by the unit cube defined by 0x1,0y1, and 0z10 \leq x \leq 1, 0 \leq y \leq 1, \text{ and } 0 \leq z \leq 1, is
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