The activity of aradioactive source falls to one sixteenth of originally value in 32 minutes. What is the hali- life

Answer 1

The half-life of the radioactive source is 8 minutes.

Explanation:
Half-life is the time taken for the activity (or amount) of a radioactive substance to reduce to half of its original value.

Given that the activity falls to one-sixteenth of its original value, it means the activity has reduced to 1/2^4 or 1/16th of its initial value after one-half life. (Each half-life reduces the activity to half of the previous value, so four half-lives will reduce it to 1/16th of the original value.)

We are told that this happens in 32 minutes, which is equivalent to four half-lives. Therefore, the time taken for one half-life is 32/4 = 8 minutes.