1.

Suppose that a material emits X-rays of wavelengths\[\,\lambda {{\kappa }_{\alpha }},\lambda {{\kappa }_{\beta }},{{\lambda }_{{{L}_{\alpha }}}}\], when it is excited by fast moving electrons; the wavelengths corresponding to \[{{K}_{\alpha }},{{K}_{\beta }},{{L}_{\alpha }}\]X- rays of the material respectively. Then we can write

A.  \[\,\lambda {{\kappa }_{\beta }}=\lambda {{\kappa }_{\alpha }}+{{\lambda }_{{{L}_{\alpha }}}}\]
B.  \[\sqrt{\,\lambda {{\kappa }_{\beta }}}=\sqrt{\lambda {{\kappa }_{\alpha }}}+\sqrt{{{\lambda }_{{{L}_{\alpha }}}}}\]
C.  \[\,\frac{1}{\lambda {{\kappa }_{\beta }}}=\frac{1}{\lambda {{\kappa }_{\alpha }}}+\frac{1}{{{\lambda }_{{{L}_{\alpha }}}}}\]
D.  \[\,\frac{1}{\sqrt{\lambda {{\kappa }_{\beta }}}}=\frac{1}{\sqrt{\lambda {{\kappa }_{\alpha }}}}+\frac{1}{\sqrt{{{\lambda }_{{{L}_{\alpha }}}}}}\]
Answer» D.  \[\,\frac{1}{\sqrt{\lambda {{\kappa }_{\beta }}}}=\frac{1}{\sqrt{\lambda {{\kappa }_{\alpha }}}}+\frac{1}{\sqrt{{{\lambda }_{{{L}_{\alpha }}}}}}\]


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