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X-ray waves, which are a form of electromagnetic radiation, can travel significant distances through various materials, including air, solids, and liquids. The distance X-ray waves can travel depends on several factors, including the energy (or frequency) of the X-rays and the properties of the material they are passing through.

In general, X-rays have higher energy and shorter wavelengths compared to visible light. This characteristic allows them to penetrate through many substances that are opaque to visible light, such as human tissues and certain materials. The ability of X-rays to penetrate depends on the atomic structure and density of the material.

In terms of their penetration through matter, the higher the energy of the X-rays, the greater their ability to penetrate. However, as X-rays interact with matter, they undergo absorption, scattering, and attenuation processes, which cause their intensity to decrease as they travel through a substance.

For example, in the medical field, X-rays are commonly used for diagnostic imaging. X-rays can pass through soft tissues like muscles and organs, but they are absorbed to a greater extent by denser tissues like bones. This differential absorption allows X-ray images (radiographs) to be used to visualize internal structures within the body.

The distance X-rays can travel before being significantly attenuated or absorbed depends on the energy of the X-rays and the density and thickness of the material they are passing through. In some cases, highly energetic X-rays can travel several centimeters or even meters through certain materials, while in other cases, they may only penetrate a fraction of a millimeter.

It's important to note that X-rays should be used with caution and under proper supervision, as they can have harmful effects on living tissues with prolonged exposure or high doses. Medical and industrial applications of X-rays involve careful control of the exposure to ensure safety.

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