In an experiment on two radioactive isotopes of an element (which do not decay into each other), their number of atoms ratio at a given instant was found to be `3`. The rapidly decaying isotope has large mass and an activity of `1.0muCi` initially. The half-lives of the two isotopes are known to be `12` hours and `16` hours. what would be the activity of each isotope and their number of atoms ration after two days?

Explanation

To solve the problem, we will follow these steps:

### Step 1: Understand the given data
We have two isotopes, A and B, with the following characteristics:
- The initial activity of isotope A, \( A_{A0} = 1 \, \mu Ci \)
- The half-life of isotope A, \( T_{1/2A} = 12 \, hours \)
- The half-life of isotope B, \( T_{1/2B} = 16 \, hours \)
- The initial ratio of the number of atoms of A to B, \( \frac{N_{A0}}{N_{B0}} = 3 \)
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