1
GATE ME 2025
MCQ (Single Correct Answer)
+1
-0.33
The divergence of the curl of a vector field is
2
GATE ME 2024
MCQ (Single Correct Answer)
+1
-0.33
The value of the surface integral
where S is the external surface of the sphere x2 + y2 + z2 = R2 is
3
GATE ME 2023
Numerical
+1
-0
A vector field
𝐁(𝑥, 𝑦, 𝑧) = 𝑥 𝑖̂ + 𝑦 ĵ − 2𝑧 k̂
is defined over a conical region having height ℎ = 2, base radius 𝑟 = 3 and axis along z, as shown in the figure. The base of the cone lies in the x-y plane and is centered at the origin.
If 𝒏 denotes the unit outward normal to the curved surface 𝑆 of the cone, the value of the integral
$\rm \int_SB.n\ dS$
equals _________ . (Answer in integer)
Your input ____
4
GATE ME 2022 Set 2
MCQ (Single Correct Answer)
+1
-0.33
Consider a cube of unit edge length and sides parallel to co-ordinate axes, with its centroid at the point (1, 2, 3). The surface integral $\int_A \vec{F}.d\vec{A}$ of a vector field $\vec{F}=3x\hat{i}+5y\hat{j}+6z\hat{k}$ over the entire surface A of the cube is ______.
Questions Asked from Marks 1
GATE ME Subjects
Engineering Mechanics
Machine Design
Strength of Materials
Heat Transfer
Production Engineering
Industrial Engineering
Turbo Machinery
Theory of Machines
Engineering Mathematics
Fluid Mechanics
Thermodynamics
General Aptitude