In 8,450 seconds, the number of radioactive nuclei decreases to 1/16 of the number present initially. What is the half-life (in s) of the material

Explanation:

The general decay equation is given as , then;

where;

is the fraction of the radioactive substance present = 1/16

is the decay constant

t is the time taken for decay to occur = 8,450s

Before we can find the half life of the material, we need to get the decay constant first.

Substituting the given values into the formula above, we will have;

Half life f the material is expressed as

Hence, the half life of the material is approximately 2113 seconds

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