Calculate the radius of the first Bohr orbit in the hydrogen atom. Hence calculate the radius of the second orbit.

Explanation

To calculate the radius of the first and second Bohr orbits in a hydrogen atom, we will use the formula for the radius of the nth orbit:

\[ r_n = r_0 n^2 \]

where \( r_0 \) is the radius of the first orbit and \( n \) is the principal quantum number (1 for the first orbit, 2 for the second orbit).

### Step 1: Calculate \( r_0 \)

...