1.

The following surface integral is to be evaluated over a sphere for the given steady velocity vector field F = x + yĵ + zk defined with respect to a Cartesian coordinate system having i, j and k as unit base vectors.
∬s ( F.n )dA
where S is the sphere, x2 + y2 + z3 = 1 and n is the outward unit normal vector to the sphere. The value of the surface integral is

A.
B. 2
C. 3 /4
D. 4
Answer» B. 2


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