From the given data calculate the radius of the third orbit of a hydrogen atom.

Explanation

To calculate the radius of the third orbit of a hydrogen atom, we can use the formula derived from Bohr's model of the atom. The radius of the nth orbit (r_n) is given by the formula:

\[ r_n = \frac{n^2 h^2}{4 \pi^2 m e^2 k} \]

Where:
- \( n \) = principal quantum number (for the third orbit, \( n = 3 \))
- \( h \) = Planck's constant (\( 6.626 \times 10^{-34} \, \text{Js} \))
- \( m \) = mass of the electron (\( 9.109 \times 10^{-31} \, \text{kg} \))
...