Find the area enclosed by the circular path of an electron in first orbit of hydrogen atom.

Explanation

To find the area enclosed by the circular path of an electron in the first orbit of a hydrogen atom, we can follow these steps:

### Step 1: Determine the radius of the first orbit
According to Bohr's model of the atom, the radius of the nth orbit is given by the formula:
\[ r_n = a_0 \cdot n^2 \]
where \( a_0 \) is the Bohr radius, approximately \( 0.53 \) angstroms or \( 0.53 \times 10^{-10} \) meters. For the first orbit, \( n = 1 \):
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