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Chhattisgarh PMT Chhattisgarh PMT Solved Paper-2007

  • question_answer
    An X-ray tube operates on 30 kV. What is the minimum wave length emitted ? \[c=3\times {{10}^{8}}\text{m}{{\text{s}}^{\text{-1}}}\text{,}\]\[e=1.6\times {{10}^{-19}}C)\] \[e=1.6\times {{10}^{-19}}C)\]

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

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

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

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

    Correct Answer: B

    Solution :

    Minimum wavelength of X-rays is given by \[{{\lambda }_{\min }}=\frac{hc}{eV}\] \[=\frac{12375}{V}\overset{\text{o}}{\mathop{\text{A}}}\,\] \[=\frac{12375}{30\times {{10}^{3}}}=0.41\overset{\text{o}}{\mathop{\text{A}}}\,\]


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