Question

Which among the following cannot be used as an alternative term for a “solenoidal vector field”?

(a) Incompressible vector field

(b) Divergence- free vector field

(c) Transverse vector field

(d) Continuous random field

This question was posed to me by my school principal while I was bunking the class.

This question is from Navier-Stokes Equations of Motion in section Fluid Dynamics of Fluid Mechanics

Answer 1

The correct option is (d) Continuous random field

To explain I would say: A random field comes under a stochastic process. It can take up values that are multidimensional vectors or points on some manifold. A random field is a list of random numbers whose indices are identified with a discrete set of points in space.