# Please tell me relationship between wavelength and atomic number ?

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Moseley's law.......

Before his untimely death in World War I, Henry Moseley made a discovery that shed light on the structure of atoms, and made a significant change in the periodic table. Moseley experimented with x-ray spectroscopy. An electron gun "fires" a stream of electrons at a metal and x-rays are emitted. The wavelengths of the x-rays were different for different metals. The wavelengths (λ) of the x-rays were directly proportional to the inverse of the square of the atomic number (Z).

..... λ = k / Z² ...... where k is a constant

Knowing that the wavelength and frequency (v) of electromagnetic energy are related by the speed of light (c), the equation can be rearranged.

..... c = λv

..... λ = c / v

..... c / v = k / Z²

..... Z² = kv / c

..... Z = k'√(v) ......... where k' = √(k/c)

This brings us to Moseley's law which states that the atomic number of the elements is proportional to the square root of the frequency of the x-rays.

• John3 years agoReport

Thank you so much, it really mean a lot 💟💟💟💟💟💟💟💟💟💟💟

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• Anonymous
3 years ago

No

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