NEET Sample Paper NEET Sample Test Paper-16

  • question_answer \[{{K}_{\alpha }}\]wavelength emitted by an atom of atomic number Z = 11 is \[\lambda .\]Find the atomic number for an atom that emits \[{{K}_{\alpha }}\]radiation with wavelength \[4\lambda .\]

    A) Z = 6             

    B) Z = 4  

    C)       Z = 11            

    D)       Z = 44                       

    Correct Answer: A

    Solution :

    For \[{{K}_{a}}X-Ray\frac{1}{\lambda }\propto {{(Z-1)}^{2}}\] \[\Rightarrow \]\[\frac{{{\lambda }_{1}}}{{{\lambda }_{2}}}={{\left( \frac{{{Z}_{1}}-1}{Z-1} \right)}^{2}}\Rightarrow \frac{\lambda }{4\lambda }={{\left( \frac{{{Z}_{2}}-1}{{{Z}_{1}}-1} \right)}^{2}}\] \[\therefore \]    \[{{Z}_{2}}=6\] Hence, the correction option is (a).

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