Calculate the velocities of the electron in the first and the tenth orbits of the hydrogen atom

Explanation

To calculate the velocities of the electron in the first and the tenth orbits of the hydrogen atom, we can use the formula for the velocity of an electron in a given orbit:

\[ v_n = \frac{2.18 \times 10^6 \, \text{m/s} \cdot Z}{n} \]

where:
- \( v_n \) is the velocity of the electron in the nth orbit,
- \( Z \) is the atomic number (for hydrogen, \( Z = 1 \)),
- \( n \) is the principal quantum number (orbit number).
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