Mining Engineering > Gate 2022 > Vector Calculus
A velocity field in Cartesian coordinate system is expressed as
𝒗 = π‘₯πš€Μ‚+ 𝑦πš₯Μ‚+ 𝑝(𝑧)π‘˜, where 𝑝(0) = 0
If div 𝒗 = 0, 𝑝(𝑧) is
A
0
B
βˆ’2𝑧
C
2
D
2z

Correct : b

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