The half life of radium is 3.82 days.In what time will the activity decay to 1/16 of its original value.
15.28 days
To find the time it takes for the activity of radium to decay to 1/16 of its original value, we can use the concept of half-life.
The half-life of radium is given as 3.82 days, which means that each time frame of 3.82 days, the activity will decrease to half of its previous value.
To find the time in which the activity decays to 1/16 of its original value, we need to determine the number of half-lives required to reach that point.
1/16 is equivalent to 2^(-4) since 2^4 = 16. This means that the activity needs to decrease four times by half.
Since each half-life is 3.82 days, we need to multiply the half-life by four to find the desired time.
4 * 3.82 days = 15.28 days
Therefore, it will take approximately 15.28 days for the activity of radium to decay to 1/16 of its original value.