The work done by the force acting on an object is zero if the displacement of the object
- AOption (a)
is in the opposite direction of the direction of force
- BOption (b)
is in the same direction of the direction of force
- COption (c)
is in perpendicular direction of the direction of force
- DOption (d)
none of above
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Correct answer
is in perpendicular direction of the direction of force
Why this answer is correct
Calculation:
Work done by a force depends on the relative direction of force and displacement.
The relation for work done is W = F × d × cos(θ), where θ is the angle between force and displacement.
When the displacement is perpendicular to the direction of force, θ = 90°.
cos(90°) = 0
⇒ W = F × d × 0
⇒ W = 0
This shows that no work is done when force acts perpendicular to the displacement.
Therefore, the correct answer is Option 3.