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Discussion :: GATE Mechanical

  1. The following surface integral is to be evaluated over a sphere for the given steady velocity vector field F = xi + yj + zk defined with respect to a Cartesian coordinate system having i, j and k as unit base vectors.

    where S is the sphere x2 + y2 + z2 = 1 and n is the outward unit normal vector to the sphere. The value of the surface integral is
    2. A.
    π
    B.
    2Ï€
    C.
    3Ï€/4
    D.
    4Ï€

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    Workspace

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    Answer : Option A

    Explanation :

    -NA-

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