DUMET Medical DUMET Medical Solved Paper-2003

  • question_answer
    An X-ray tube operates on 30 kV. The minimum wavelength emitted is :\[(h=6.6\times {{10}^{-19}}\,j-s,c=3\times {{10}^{8}}m/s,\]\[e=1.6\times {{10}^{-19}}C)\]

    A)  \[6.6\,\overset{o}{\mathop{A}}\,\]           

    B)  \[1.2\,\overset{o}{\mathop{A}}\,\]

    C)  \[0.133\,\overset{o}{\mathop{A}}\,\]        

    D)  \[0.4\,\overset{o}{\mathop{A}}\,\]

    Correct Answer: D

    Solution :

     For an accelerating voltage V, the maximum X-ray photon energy is given by \[h{{v}_{\max }}=eV\] The minimum wavelength corresponding to this maximum energy is \[{{\lambda }_{\min }}=\frac{hc}{eV}\] where h is Plancks constant and c is speed of light. \[\therefore \]\[{{\lambda }_{\min }}=\frac{6.6\times {{10}^{-34}}\times 3\times {{10}^{8}}}{1.6\times {{10}^{-19}}\times 30\times {{10}^{3}}}=0.4\,\overset{o}{\mathop{A}}\,\]


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