Question

A radioactive isotope is being produced at a constant rate A .The isotope has a half -life T initially there are no nuclei ,after a times t>>T, the number of nuclei become constant .The value of this constant is

• A. AT
• B. $\frac{A}{T}$
• C. AT 1n(2)
• D. $\frac{AT}{1n(2)}$

Answer 1

Answer: (D)

$\frac{AT}{1n(2)}$

Answer 2

A = N$\lambda$ $\therefore$ N = $\frac{A}{\lambda} = \frac{AT}{In2}$