Question

If \( \text{div}~\vec{F} \) of any vector \( \vec{F} \) is zero, then it is

• A. Irrotational
• B. Solenoidal
• C. Invariant
• D. Harmonic

Hint:

A zero divergence implies the field is solenoidal, commonly seen in incompressible fluids and magnetic fields.

Answer 1

The Correct Option is B

A vector field \( \vec{F} \) is said to be solenoidal if its divergence is zero: \[ \text{div}~\vec{F} = \nabla \cdot \vec{F} = 0 \] This indicates there is no net flux out of any closed surface — a key property of incompressible fluid flow or magnetic fields.