Calculate the number of disintegrations in the first second, given N0=1010 atoms and T1/2=30 days. Also find the time it takes for the number of atoms to reduce to 104.

Here's how to solve the problem:

Given:

• Initial number of atoms, $N_0 = 10^{10}$ atoms
• Half-life, $T_{1/2} = 30 \text{ days}$
• Number of remaining atoms for parts ii and iii, $N_t = 10^4$ atoms

Part i: Calculate the number of disintegrations in the first second.
This refers to the initial activity ($A_0$), which is the number of disintegrations per second at the start.

Step 1: Convert the half-life to seconds.

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