JEE Main & Advanced Physics Atomic Physics Question Bank Self Evaluation Test - Atoms

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

    A)  Co, Z=27

    B)  Iron, Z=26

    C)  Mn, Z=25

    D)  Ni, Z=28

    Correct Answer: A

    Solution :

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


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