A vertical wire carries a current in upward direction. An electron beam sent horizontally towards the wire will be deflected (gravity free space).A. Towards rightB. Towards leftC. UpwardsD. Downwards

When a current-carrying wire is placed in a magnetic field, it experiences a force perpendicular to both the direction of the current and the magnetic field. This force is given by the right-hand rule, where if you point your right thumb in the direction of the current and your fingers in the direction of the magnetic field, the force will be in the direction perpendicular to both.

In this scenario, the vertical wire carries a current in an upward direction. When an electron beam is sent horizontally towards the wire, the electrons in the beam will experience a force due to the interaction between their motion and the magnetic field produced by the current in the wire.

Using the right-hand rule, if you point your right thumb in the direction of the current (upward) and your fingers in the direction of the incoming electron beam (horizontal), the force on the electrons will be directed downwards. Therefore, the electron beam will be deflected downwards.

So, the correct option is:
D. Downwards