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Question

No work is done by a force on an object if
  1. The force is always perpendicular to its acceleration
  2. The force is always perpendicular to its velocity
  3. The object's center of mass is stationary but the point of application of the force moves on the object
  4. The object moves in such a way that the point of application of the force remains fixed

A
The force is always perpendicular to its velocity
B
The object moves in such a way that the point of application of the force remains fixed
C
The object's center of mass is stationary but the point of application of the force moves on the object
D
The force is always perpendicular to its acceleration
Solution
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W=F.ds
So, motion of both object and point of application of force on the object is necessary in order to keep ds non zero.
Also angle between force and displacement( velocity ) should not be 900 to keep dot product non zero.

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