Calculate the radius of `2^(nd)` excited state of `Li^(+2)`

Explanation

To calculate the radius of the second excited state of the lithium ion \( Li^{2+} \), we will follow these steps:

### Step 1: Identify the values needed for the formula
- The atomic number \( Z \) of lithium is 3.
- The principal quantum number \( n \) for the second excited state is 3 (since the ground state is \( n=1 \), the first excited state is \( n=2 \), and the second excited state is \( n=3 \)).

### Step 2: Use the formula for the radius of the nth orbit
The formula for the radius of the nth orbit in a hydrogen-like atom is given by:
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