The formula to calculate the Bohr Radius (r) is:
\[ r = a_0 \times n^2 \]
Where:
The Bohr radius is the radius of the smallest orbit in the Bohr model of the hydrogen atom, where the electron orbits the nucleus. It is a fundamental physical constant and represents the most probable distance between the nucleus and the electron in a hydrogen atom in its ground state. The Bohr radius is a key concept in quantum mechanics and atomic physics.
Let's consider an example:
Using the formula to calculate the Bohr Radius:
\[ r = 5.29177210903 \times 10^{-11} \times 2^2 = 2.11670884361 \times 10^{-10} \text{ meters} \]
This means that the Bohr radius for this scenario is approximately \( 2.11670884361 \times 10^{-10} \) meters.