The half life of a radioactive element is 30 seconds. In what period of time would the activity of the sample be reduced to one - sixteenth of the original activity?
You can simplify the above working formula to the following form:
Now, we know that the formula for half-life (which can be obtained from the above equation itself) is given by:
So, here the half-life is
Now, using this value of
Therefore, the activity of the radioactive element becomes one-sixteenth of its original activity at