Calculate the radius of the third Bohr orbit of hydrogen atom and the energy of electron in that orbit.

Explanation

To calculate the radius of the third Bohr orbit of a hydrogen atom and the energy of the electron in that orbit, we will use the following formulas:

1. **Radius of the nth Bohr orbit**:
\[ r_n = n^2 \cdot r_1 \]
where \( r_1 \) is the radius of the first Bohr orbit, which is approximately \( 0.529 \, \text{Å} \) or \( 5.29 \times 10^{-11} \, \text{m} \).

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