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  • A conservative force can be written as in the form of -Option: 1 <img alt="\vec{\nabla} \cdot \vec{F}=0" src="https://entrancecorner.oncodecogs.com/g

A conservative force can be written as in the form of -

Option: 1

\vec{\nabla} \cdot \vec{F}=0


Option: 2

\vec{\nabla} \cdot \vec{F}=1


Option: 3

\vec{\nabla} \times \vec{F}=0


Option: 4

None


Answers (1)

best_answer

conservative force can be gradient of a scalar (Potential energy) 
     \vec{\nabla} \times \vec{F}=0............(1)
Mathematical identity.
curl grad. (scalar) =0
curl grad. (-scalar) =0
\vec{\nabla} \times \nabla \cdot u=0
comparing (1) \& (2) we get.
\vec{f}=-\nabla \cdot u

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