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  • The value of the wave length  line of Silver (z=47). Given R= <img alt="109737 \mathrm{~

The value of the wave length k_\alpha- line of Silver (z=47). Given R= 109737 \mathrm{~cm}^{-1}

Option: 1

0.57 \AA


Option: 2

0.6 \AA


Option: 3

0.66 \AA


Option: 4

0.78 \AA


Answers (1)

best_answer

From Moseley's law the wavelength of  k_\alpha- line is given by -
\mathrm{\begin{aligned} \frac{1}{\lambda} & =R(z-1)^2\left(\frac{1}{1^2}-\frac{1}{2^2}\right) \\ & =\frac{3}{4} R(z-1)^2 \\ \frac{1}{\lambda} & =\frac{3}{4} \times 1.937 \mathrm{~cm}^{-1} \times(46)^2=1.74 \times 10^8 \mathrm{~cm}-1 \\ \lambda & =\frac{1}{1.74 \times 1.8} \mathrm{~cm}=\frac{108}{1.74 \times 10^8} A^{\circ}=0.57 A_{\mathrm{A}}^{\mathrm{Am}} . \end{aligned}}

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vishal kumar

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