If the radius of first Bohr orbit of H atom is r, then find de Broglie wavelength of electron in 3 rd orbit

Options

A. `2pi r`
B. `(2pi r)/(3)`
C. `(3pi r)/(3)`
D. `6 pir`

Explanation

To find the de Broglie wavelength of the electron in the third orbit of a hydrogen atom, we can follow these steps:

### Step 1: Understand the Bohr Model
The radius of the nth orbit in a hydrogen atom is given by the formula:
\[ r_n = \frac{n^2}{Z} \cdot r_1 \]
where:
- \( r_n \) is the radius of the nth orbit,
- \( Z \) is the atomic number (for hydrogen, \( Z = 1 \)),
...