Two radioactive nuclides A and B have half-lives 50 min and 10 min respectively . A fresh sample contains the nuclides of B to be eight times that of A. How much time should elapse so that the mumber of nuclides of A becomes double of B ?

Explanation

To solve the problem step by step, we need to analyze the given information and apply the concepts of radioactive decay.

### Step 1: Define the initial conditions
Let:
- \( n_0^A \) = initial number of nuclides of A
- \( n_0^B \) = initial number of nuclides of B

According to the problem, the initial amount of B is eight times that of A:
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