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Characteristic Spectrum

The wavelengt...

Question

The wavelength of a certain line in the x-ray spectrum for tungsten (Z = 74) is $200 \circ A .$ What would be the wavelength of the same line for platinum (Z = 78)? The screening constant a is unity.

179.76 \circ A

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189.76 \circ A

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289.76 \circ A

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379.76 \circ A

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Solution

The correct option is A $179.76 \circ A$
Using Moseley’s law, we get
$\frac{λ_{2}}{λ_{1}} = \frac{(Z_{1} - a)^{2}}{(Z_{2} - a)^{2}}$
$λ_{2} = \frac{200 \times (74 - 1)^{2}}{(78 - 1)^{2}} = 179.76 A^{\circ}$

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The wavelength of a certain line in the x-ray spectrum for tungsten (Z = 74) is 200∘A. What would be the wavelength of the same line for platinum (Z = 78)? The screening constant a is unity.

The correct option is A 179.76∘AUsing Moseley’s law, we get λ2λ1=(Z1−a)2(Z2−a)2 λ2=200×(74−1)2(78−1)2=179.76A∘

The wavelength of a certain line in the x-ray spectrum for tungsten (Z = 74) is $200 \circ A .$ What would be the wavelength of the same line for platinum (Z = 78)? The screening constant a is unity.

The correct option is A $179.76 \circ A$
Using Moseley’s law, we get
$\frac{λ_{2}}{λ_{1}} = \frac{(Z_{1} - a)^{2}}{(Z_{2} - a)^{2}}$
$λ_{2} = \frac{200 \times (74 - 1)^{2}}{(78 - 1)^{2}} = 179.76 A^{\circ}$