KVPY Sample Paper KVPY Stream-SX Model Paper-2

  • question_answer
    The element which has a \[{{k}_{\alpha }}\] x-rays line of wavelength 1.8 \[\overset{\text{o}}{\mathop{\text{A}}}\,\] is - \[(R=1.1\times {{10}^{7}}{{m}^{-1}},b=1\,and\,\sqrt{5/33}=0.39)\]

    A) \[Co,Z=\text{ }27~\]     

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

    C) \[Mn,\text{ }Z\text{ }=\text{ }25~\]       

    D) \[Ni,\text{ }Z\text{ }=\text{ }28\]

    Correct Answer: A

    Solution :

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


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