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an x-ray technician will place a lead cloth over parts of your body when taking an x-ray to protect your cells from being damaged. why do x-rays have the potential to harm your body but radio waves do not?

Radio waves can harm people, but due to the wavelength of the X-Rays which are extremely dangerous to humans, and the wavelength of Radio waves (which are calm compared to the way X-Rays look) compared side by side, it would take extensive exposure to the Radio waves to cause disease, cancer, or even death.  Hope I helped!