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Elodia [21]
3 years ago
5

What is the half-life of a radioisotope

Physics
2 answers:
IceJOKER [234]3 years ago
4 0
The rate at which a radioactive isotope<span> decays is measured in </span>half-life. The termhalf-life<span> is defined as the time it takes for one-</span>half<span> of the atoms of a radioactive material to disintegrate. </span>Half-lives<span> for various </span>radioisotopes<span> can range from a few microseconds to billions of years.</span>
HACTEHA [7]3 years ago
4 0

Answer:

It is the time after which a given sample of radioactive substance will decay to half of the initial number present in the sample.

Explanation:

As we know that as per law of radioactivity the number of radioactive nuclei present in the sample is proportional to the rate of decay

so it is given by

\frac{dN}{dt} = -\lambda N

after solving above relation we will have

N = N_0e^{-\lambda t}

now here we know that as the number of nuclei is reduced to half of the initial number then we have

\frac{N_0}{2} = N_0e^{-\lambda t}

t = \frac{ln2}{\lambda}

so this time is known as half life where the denominator of the equation is known as decay constant.

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