Question

What is the frequency \( \nu \) of the electron in Bohr's first orbit of radius \( r \) of the hydrogen atom?

• A. \( \nu = \dfrac{e^2}{4\pi \varepsilon_0 h r} \)
• B. \( \nu = \dfrac{e^2}{2\pi \varepsilon_0 h r^2} \)
• C. \( \nu = \dfrac{e^2}{4\pi \varepsilon_0 h r^2} \)
• D. \( \nu = \dfrac{e^2}{2\pi \varepsilon_0 h r} \)

Hint:

In Bohr model problems, combine Coulomb force with quantization condition \( mvr = \frac{nh}{2\pi} \), and use \( \nu = \frac{v}{2\pi r} \) for frequency.

Answer 1

The Correct Option is A