Frequency, Time Period and Angular Frequency - Practice Questions & MCQ

Time Period and Frequency of Revolution of an Electron in the n^th Bohr orbit

Although the precise equations for time period and frequency of revolution are not required but still it is a good idea to look at the variations of these with the atomic number (Z) and the orbit number (n).

We know that Time period (T) is the time required for one complete revolution and that Frequency ($\nu$) is inverse of the time period

$\therefore T=\frac{\text { distance }}{\text { time }}=\frac{2 \pi r}{v}$

$\because r \propto \frac{\mathrm{n}^2}{\mathrm{Z}}$ and $\mathrm{v} \propto \frac{\mathrm{Z}}{\mathrm{n}}$

$\therefore T \propto\left(\frac{n^2}{Z} \times \frac{n}{Z}\right) \propto\left(\frac{n^3}{Z^2}\right)$

$\therefore \nu=\left(\frac{1}{T}\right) \propto\left(\frac{Z^2}{n^3}\right)$

It is important that you remember all the above formula and relations