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

  • question_answer
    The shortest wavelength of X-ray emitted from an X-ray tube operated at \[2\times {{10}^{6}}volt\]is of the order of

    A) \[{{10}^{-5}}\overset{\text{o}}{\mathop{\text{A}}}\,\]

    B) \[1.852\overset{\text{o}}{\mathop{\text{A}}}\,\]

    C) \[0.5\overset{\text{o}}{\mathop{\text{A}}}\,\]

    D) \[0.7\overset{\text{o}}{\mathop{\text{A}}}\,\]

    Correct Answer: B

    Solution :

    [b] \[E=eV=2\times {{10}^{6}}\times 1.6\times {{10}^{-19}}J\] \[\Rightarrow \lambda =\frac{hc}{E}=\frac{6.6\times {{10}^{-34}}\times 3\times {{10}^{8}}}{3.2\times {{10}^{-13}}}={{10}^{-2}}\overset{\text{o}}{\mathop{\text{A}}}\,\]


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