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GATE Mechanical Engineering (ME) 2022 Shift 1 Solved Paper

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Question : 13

Total: 65

Given a function ϕ=‌

(x2+y2+z2) in three-dimensional Cartesian space, the value of the surface integral
∯_S n̂ . ∇ϕ dS
where S is the surface of a sphere of unit radius and n̂ is the outward unit normal vector on S, is

4π
3π
4π/3
0

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