Question 44

The frequency of revolution of the electron in Bohr's orbit varies with , the principal quantum number as

Name: The frequency of revolution of the electron in Bohr's orbit varies with , the principal quantum number as
Uploaded: 2026-06-14T12:30:57.549866+05:30
Duration: 2 min 27 s
Description: The frequency of revolution of the electron in Bohr's orbit varies with , the principal quantum number as

Solution

$$f = \frac{1}{T} = \frac{v}{2\pi r}$$

$$v \propto \frac{Z}{n}$$

$$r \propto \frac{n^2}{Z}$$

$$f \propto \frac{\left(\frac{Z}{n}\right)}{\left(\frac{n^2}{Z}\right)}$$

$$f \propto \frac{Z^2}{n^3}$$

$$f \propto \frac{1}{n^3}$$

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The frequency of revolution of the electron in Bohr's orbit varies with , the principal quantum number as

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