1.

For a function given by F = 4x i + 7y j +z k, the divergence theorem evaluates to which of the values given, if the surface considered is a cone of radius 1/2π m and height 4π^2 m.(a) 1(b) 2(c) 3(d) 4This question was addressed to me by my school teacher while I was bunking the class.The question is from Gauss Divergence Theorem topic in portion Vector Calculus of Electromagnetic Theory

Answer»

Correct option is (b) 2

For explanation: Div (F) = 4 + 7 + 1 = 12. The divergence theorem gives ∫∫∫(12).DV, where dV is the volume of the cone πr^3h/3, where r = 1/2π m and h = 4π^2 m. On substituting the RADIUS and height in the triple INTEGRAL, we get 2 units.



Discussion

No Comment Found

Related InterviewSolutions