The work has not been done while holding a tray in the cafeteria. Option C is correct.
The work can be defined as the product of force and displacement. It can be given by the formula,
[tex]W = Fd[/tex]
Where,
[tex]W[/tex] - work
[tex]F[/tex] - Force
[tex]d[/tex] - displacement
While raising the barbel, picking up the box off the floor the person displaces the objects vertically, so the work has been done here.
While pushing the object across the floor, the person is displacing the object in the horizontal direction, so the work has been done here.
While holding a tray in the cafeteria, the person is not displacing the plate he is using the force but not displacing the object.
Therefore, the work has not done while holding a tray in the cafeteria.
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