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The half-life of a radioactive isotope is the length of time for one half of a given sample to decay into another isotope (usually of a different element). It is a logarithmic process. After 1 half-life, there is half of the sample remaining; after 2 half-life's there is one quarter of the sample remaining; after 3, one eighth, etc. Each isotope has a different half-life, ranging from femtoseconds to billions of years.

The equation for nuclear half-life is

AT = A0 2(-T/H)

Where A0 is the original activity of the sample, AT is the activity of the sample after some time T, and H is the half-life in units of T.

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On the other side of the coin, is biological half-life, which is an approximation of how long it takes for one half of an ingested material (not necessarily radioactive) to leave the body. It is not necessarily logarithmic. It depends on various things, such as the metabolic rate in the liver, the excretion rate in the kidneys, the respiration rate in the lungs, the waste elimination rate in the intestines, etc.

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9y ago
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9y ago

Free neutrons within a rest frame have a half-life of 881 seconds, as best we can determine.

The mean lifetime is almost 15 minutes, ~611 seconds. There is a set relationship between mean lifetime and half-life (look at the shape/type of distribution). Multiply by ln(2) to get 881. The means of decay of a free neutron (not in a nucleus) is a beta decay.

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13y ago

the half-life is the time it takes for half a given quantity radioctive material to decay into more stable elements.

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14y ago

How can you get half a neutron?

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14y ago

It is a bit over two days. 2.117 days.

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Q: What is meant by the half-life of a radioactive source?
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