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That depends on the kind of radiation you're talking about. There are two basic "flavors" of radiation - particulate radiation and electromagnetic (EM) radiation. Electromagnetic radiation, particularly the high energy kind, is best stopped by materials containing elements with large nuclei and having a high density. Lead is in common usage as an X-ray shield because it has "fat" nuclei and the atoms are pretty close together. As only atomic nuclei are generally effective is scattering high energy EM radiation, anything with elements with large nuclei and high density will be more effective in dealing with something like an X-ray or gamma ray. As regards particulate radiation, a sheet of aluminum foil will stop alpha and beta radiation without difficulty. There will be little if any difference between the ability of fat or muscle to stop an alpha or beta particle. Consider what has been provided, then review the chemistry of fat and of muscle. Decide which tissue has elements that have heavier nuclei and which are more dense. Don't forget to include things like blood and other fluids. (Blood's red cells have an iron atom in the middle.)

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Q: Does fat produce more scatter radiation than lean muscle?
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