X-rays are a fascinating form of energy that we encounter in many areas, from medical imaging to security scans. Understanding their properties, especially how they interact with different fields, is crucial in physics.

X-ray Nature and Properties

First, let's understand what X-rays are. X-rays are a type of electromagnetic radiation, just like visible light, radio waves, microwaves, and gamma rays. This means they are composed of oscillating electric and magnetic fields propagating through space. Unlike electrons or protons, X-rays are not charged particles; instead, they are bundles of energy called photons, which have zero electric charge and zero rest mass.

X-ray Deflection in Electric Fields

An electric field exerts a force on charged particles. The force $\vec{F}$ experienced by a particle with charge $q$ in an electric field $\vec{E}$ is given by the Lorentz force equation:

$$ \vec{F} = q\vec{E} $$

• Since X-rays (photons) have no electric charge ($q=0$), an electric field cannot exert any force on them.
• Therefore, X-rays are not deflected by an electric field.

X-ray Deflection in Magnetic Fields

Similarly, a magnetic field exerts a force on moving charged particles. The force $\vec{F}$ on a charged particle moving with velocity $\vec{v}$ in a magnetic field $\vec{B}$ is given by:

$$ \vec{F} = q(\vec{v} \times \vec{B}) $$

• Again, because X-rays (photons) have no electric charge ($q=0$), a magnetic field cannot exert any force on them.
• Thus, X-rays are not deflected by a magnetic field.

X-ray Behavior in Electromagnetic Fields

While X-rays themselves are a form of electromagnetic radiation (meaning they consist of electric and magnetic fields that propagate together), the question asks if they can be deflected by an external "electromagnetic field". This term usually refers to a static combination of external electric and magnetic fields. As established, neither a static electric field nor a static magnetic field can deflect X-rays because they are uncharged particles.

• An external electromagnetic field, in the context of deflecting particles, would combine the effects of an external electric field and an external magnetic field. Since X-rays are not deflected by individual static electric or magnetic fields, they are also not deflected by their combination.

Conclusion on X-ray Deflection

Based on their fundamental nature as uncharged photons, X-rays do not interact with static electric fields or magnetic fields in a way that would cause them to be deflected. They travel in straight lines in such environments, provided there are no other interactions like absorption or scattering by matter.

Therefore, among the given options, X-rays can be deflected by none of the fields.