Calculate the energy associated with the first orbit of `He^(+)`.What is the radius of this orbit ?
Hint `: E_(n) = - 2.18 xx10^(-18) ((Z^(2))/( n^(2))) J //`atom
`He^(+) ( Z=2)`
`r_(n) = ( 52.9(n^(2)))/(Z) ` pm

Explanation

To solve the problem of calculating the energy associated with the first orbit of \( \text{He}^+ \) and the radius of this orbit, we will follow these steps:

### Step 1: Identify the given values
- The atomic number \( Z \) of helium (\( \text{He} \)) is 2.
- For the first orbit, the principal quantum number \( n \) is 1.

### Step 2: Calculate the energy associated with the first orbit
The energy associated with the orbit is given by the formula:
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