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Orbital frequency - (Concept)

Time Period and Frequency of Revolution of an Electron in the nth 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

Exam Chapter
JEE MAIN Atomic Structure
Chemistry Part I Textbook for Class XI
Page No. : 53
Line : 5

Classical mechanics, based on Newton’s laws of motion, successfully describes the motion of all macroscopic objects such as a falling stone, orbiting planets etc., which have essentially a particle-like behaviour as shown in the previous section.


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