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

The Correct Option is A

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