Question

A radioactive nucleus has a decay constant $\lambda$ and its radioactive daughter nucleus has a decay constant 10$\lambda$. At time t = 0, N0 is the number of parent nuclei and there are no daughter nuclei present. N1(t) and N2(t) are the number of parent and daughter nuclei present at time t, respectively The ratio $\frac{N_2(t)}{N_1(t)}$ is

• A. $\frac{1}{9}[1-e^{-9\lambda t}]$
• B. $\frac{1}{10}[1-e^{-10\lambda t}]$
• C. $[1-e^{-10\lambda t}]$
• D. $[1-e^{-9\lambda t}]$

Answer 1

Answer: (A)

$\frac{1}{9}[1-e^{-9\lambda t}]$

Answer 2

The correct answer is (A) : $\frac{1}{9}[1-e^{-9\lambda t}]$