Yes, electromagnetic waves can penetrate a body with high temperature. The ability of electromagnetic waves to penetrate a material depends on the frequency of the waves and the properties of the material. Temperature, on its own, does not directly affect the penetration of electromagnetic waves.
When electromagnetic waves interact with matter, they can be absorbed, transmitted, or reflected depending on the properties of the material and the frequency of the waves. Some materials may absorb certain frequencies of electromagnetic waves more readily than others.
In the case of high temperatures, such as those found in hot objects or environments, the thermal energy primarily affects the behavior of the atoms or molecules in the material. However, it does not significantly alter the ability of electromagnetic waves to penetrate the material. The primary factors influencing wave penetration are the material's electrical conductivity, permittivity, and permeability.
For example, in the case of visible light, which consists of a range of electromagnetic waves with different frequencies, materials at high temperatures can still transmit or reflect light depending on their optical properties. Even in extremely hot environments, like those found in furnaces or the Sun, electromagnetic waves, including visible light, infrared, and even ultraviolet, can still propagate through the materials.
In summary, high temperatures alone do not prevent electromagnetic waves from penetrating a material. The interaction of waves with a material depends on its electrical and optical properties rather than its temperature.