Question

Nuclei of a radioactive element X are being produced at a constant rate K and this element decays to a stable nucleus Y with a decay constant lambda and half-life T_(1//3). At the time t=0, there are N_(0) nuclei of the element X. The number N_(X) of nuclei of X at time t=T_(1//2) is .

Answer 1

Explanation:

Solve the following by both substitution and elimination methods.

$2x - \sqrt{2} y = 0$

and

$\frac{3x}{ \sqrt{2} } - y = 1$