Question

A vector field which has a vanishing divergence is called as ____________

(a) Solenoidal field

(b) Rotational field

(c) Hemispheroidal field

(d) Irrotational field

I have been asked this question during a job interview.

I would like to ask this question from Divergence and Curl of a Vector Field in division Vector Differential Calculus of Engineering Mathematics

Answer 1

Correct choice is (a) Solenoidal field

Explanation: By the definition: A vector field whose divergence comes out to be zero or

Vanishes is called as a Solenoidal Vector Field.

i.e.

If \(∇. \vec{f} = 0 ↔ \vec{f} \) is a Solenoidal Vector field.