Nucleus: Practice Problem & Solution
Half life period of two elements are 40 minute and 20 minute respectively, then after 80 minute ratio of the remaining nuclei will be (Initially both have equal active nuclei): (1998)
Solution Explained:
To solve this problem, we apply the core principles of Nucleus. Understanding the underlying formula is key to arriving at the correct answer below:
For the first element, 80 mins is 2 half-lives ($80/40$), leaving $N_0 / 2^2 = N_0/4$. For the second, 80 mins is 4 half-lives ($80/20$), leaving $N_0 / 2^4 = N_0/16$. The ratio is $(N_0/4) / (N_0/16) = 16/4 = 4 : 1$.
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