Mechanical Engineering > GATE 2013 SET-4 > Vector Calculus
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.
∫∫S (1/4)(F.n)dA
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
∫∫S (1/4)(F.n)dA
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
Correct : a
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