Question:
If \( \text{div}~\vec{F} \) of any vector \( \vec{F} \) is zero, then it is
If \( \text{div}~\vec{F} \) of any vector \( \vec{F} \) is zero, then it is
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A zero divergence implies the field is solenoidal, commonly seen in incompressible fluids and magnetic fields.
Updated On: May 4, 2025
- Irrotational
- Solenoidal
- Invariant
- Harmonic
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The Correct Option is B
Solution and Explanation
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.
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