Chhattisgarh PMT Chhattisgarh PMT Solved Paper-2007

  • question_answer
    The wavelength of the most energetic X-ray emitted when a metal target is bombarded by 100 ke V electrons is approximately.

    A) \[12\,\,\overset{\text{o}}{\mathop{\text{A}}}\,\]

    B) \[4\,\,\overset{\text{o}}{\mathop{\text{A}}}\,\]

    C) \[0.31\,\,\overset{\text{o}}{\mathop{\text{A}}}\,\]

    D) \[0.124\,\,\overset{\text{o}}{\mathop{\text{A}}}\,\]

    Correct Answer: D

    Solution :

    Wavelength of X-ray \[=\frac{12375}{V}\overset{\text{o}}{\mathop{\text{A}}}\,\] Energy of electron \[=100\text{ }keV=100\text{ }x\text{ }103\text{ }eV.\] \[\therefore \]Voltage with which electron is accelerated                 \[=100\times {{10}^{3}}V\] \[\therefore \] Wavelength of X-ray                 \[=\frac{12375}{100\times {{10}^{3}}}=0.12375\overset{\text{o}}{\mathop{\text{A}}}\,\]                 \[=0.124\overset{\text{o}}{\mathop{\text{A}}}\,\]


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