NEET Sample Paper NEET Sample Test Paper-18

  • question_answer
    The wavelength \[\lambda \] of the \[{{K}_{\alpha }}\]X-ray line with an anticathode element of atomic number Z is nearly proportional to:

    A) \[{{Z}^{2}}\]                                   

    B) \[{{(Z-1)}^{2}}\]

    C)  \[\frac{1}{(z-1)}\]                 

    D) \[\frac{1}{{{(z-1)}^{2}}}\]  

    Correct Answer: D

    Solution :

    From Moseley's law\[\sqrt{v}=a(z-b)\] For \[{{K}_{\alpha }}\]line, \[b=1\]\[\therefore \]\[v={{a}^{2}}{{(z-1)}^{2}}\] or \[\frac{c}{\lambda }={{a}^{2}}{{(z-1)}^{2}}\] or \[\lambda =\frac{c}{{{a}^{2}}{{(z-1)}^{2}}}\]or \[\lambda \propto \frac{1}{{{(z-1)}^{2}}}\] Hence, the correction option is [d].


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