Q37
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
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
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
A.
Answer
B.
C.
D.
Answer: Option A
Solution
Answer: Option A
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