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 the X-ray tube is operated at 1kV, then X- rays of minimum wavelength \[\text{6}\text{.22 }\overset{\text{o}}{\mathop{\text{A}}}\,\] are produced. If the tube is operated at 10 kV, then the minimum wavelength of x-rays will be

    A) \[\text{0}\text{.622 }\overset{\text{o}}{\mathop{\text{A}}}\,\]         

    B)        \[\text{6}\text{.22 }\overset{\text{o}}{\mathop{\text{A}}}\,\,\]

    C) \[\text{3}\text{.11 }\overset{\text{o}}{\mathop{\text{A}}}\,\,\]          

    D)        zero

    Correct Answer: A

    Solution :

    [a] \[\frac{{{\lambda }_{{{m}_{2}}}}}{{{\lambda }_{{{m}_{1}}}}}=\frac{{{V}_{1}}}{{{V}_{2}}}\Rightarrow {{\lambda }_{{{m}_{2}}}}=\frac{6.22\times {{10}^{3}}}{{{10}^{4}}}=0.622\overset{\text{o}}{\mathop{\text{A}}}\,\]


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