If the work done by a conservative force on a particle that moves from point A to point B in space is $100$ J $,$ then the work done by the same force when the particle moves from $B$ to $A$ is

$-100$ N if the path is the same as the path from $A$ to $B$

$100$ N if the path is the same as the path from $A$ to $B$

$100$ N irrespective of the path between $A$ to $B$

$-100$ N irrespective of the path between A to B