Is it possible that an object is in the state of accelerated motion due to external force acting on it, but no work is being done by the force. Explain it with as example.

Explanation

Yes, this is possible if the external force (F) and the diplacement of the object in a state of constant acceleration are perpendicular to each other.
Example. An object moves with uniform speed `(upsilon)` in a circular path of radius (r ), due to a force (called centripetal force, F) acting on it along its radius towards the centre. The object has a constant acceleration `(upsilon^2//r)` which also acts along the radius towards the centre. In this case, F and displacement (which is in the direction `upsilon`) are always perpendicular to each other as shown in fig. in short, centripetal force (due to which an object is in a state of constant acceleration towards the centre while moving in a circular path) does no work.