JEE Main & Advanced Physics Photo Electric Effect, X- Rays & Matter Waves Question Bank Self Evaluation Test - Dual Nature of Radiation and Matter

  • question_answer
    When X-rays of wavelength 0.5 A would be transmitted by an aluminum tube of thickness 7 mm, its intensity remains one-fourth. The absorption coefficient of aluminum for these X-rays is

    A) \[0.188m{{m}^{-1}}\]

    B) \[0.189m{{m}^{-1}}\]

    C) \[0.198m{{m}^{-1}}\]

    D) None of these

    Correct Answer: C

    Solution :

    [c] \[\frac{{{I}_{0}}}{I}=4,x=7mm\,(\text{given})\] \[\Rightarrow \mu =\frac{2.303{{\log }_{10}}\frac{{{I}_{0}}}{I}}{x}\] \[\mu =\frac{2.303{{\log }_{10}}\frac{{{I}_{0}}}{I}}{x}\] \[\mu =\frac{2.303{{\log }_{10}}4}{7}=\frac{2.303\times 0.6023}{7}\] \[\Rightarrow \mu =0.198m{{m}^{-1}}\]


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