Question

СРОЧНО, МОГУ ПЕРЕВЕСТИ! У скільки разів зменшиться активність радіонукліда за час, який дорівнює трьом періодам напіврозпаду цього радіонукліда ?

Answer 1

Было x
стало x/2/2/2=x/(2^3)=x/8;
Уменьшился в 8 раз.

Answer 2

Calculation of Radioactive Decay

To calculate the decrease in activity of a radioactive nuclide over a given time period, we need to consider the concept of half-life. The half-life of a radioactive substance is the time it takes for half of the initial amount of the substance to decay.

Let's assume that the initial activity of the radioactive nuclide is represented by "A0". After one half-life, the activity will be reduced to half of its initial value, which is "A0/2". After two half-lives, the activity will be further reduced to "A0/2^2" or "A0/4". Similarly, after three half-lives, the activity will be "A0/2^3" or "A0/8".

Therefore, the activity of the radioactive nuclide will decrease by a factor of 8 (2^3) over a time period equal to three half-lives.

So, the activity of the radioactive nuclide will decrease by a factor of 8 over a time period equal to three half-lives.

Please note that this calculation assumes that the decay of the radioactive nuclide follows exponential decay and that there are no other factors affecting the decay process.