KVPY Sample Paper KVPY Stream-SX Model Paper-9

  • question_answer
    The element which has a \[{{k}_{\alpha }}\] x-rays line of wavelength \[18\,\,\overset{{}^\circ }{\mathop{A}}\,\] is \[(R={{1.110}^{7}}{{m}^{-1}},\,\,b=1\,\,\text{and}\,\,\sqrt{5/33}=0.39)\]

    A) \[Co,\,\,Z=27\]

    B) \[lron,\,\,Z=26\]

    C) \[Mn,\,\,Z=25\]

    D) \[Ni,\,\,Z=28\]

    Correct Answer: A

    Solution :

    \[\frac{1}{{{\lambda }_{\alpha }}}=\frac{3R}{4}{{(Z-1)}^{2}}\] \[\Rightarrow \]   \[(Z-1)=\sqrt{\frac{4}{3R{{\lambda }_{\alpha }}}}=\sqrt{\frac{4}{3\times 1.1\times {{10}^{7}}\times 1.8\times {{10}^{-10}}}}\] \[\Rightarrow \]   \[\frac{200}{3}\sqrt{\frac{5}{33}}=\frac{78}{3}=26.\]\[\Rightarrow \]\[Z=27\]


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