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 ratio of the \[{{\lambda }_{\min }}\]in a Coolidge tube to \[{{\lambda }_{deBroglie}}\] of the electrons striking the target depends on accelerating potential V as

    A) \[\frac{{{\lambda }_{\min }}}{{{\lambda }_{deBroglie}}}\propto \sqrt{V}\]

    B) \[\frac{{{\lambda }_{\min }}}{{{\lambda }_{deBroglie}}}\propto V\]

    C) \[\frac{{{\lambda }_{\min }}}{{{\lambda }_{deBroglie}}}\propto \frac{1}{\sqrt{V}}\]

    D) \[\frac{{{\lambda }_{\min }}}{{{\lambda }_{deBroglie}}}\propto \frac{1}{V}\]

    Correct Answer: C

    Solution :

    [c] \[{{\lambda }_{\min }}=\frac{hc}{eV}\] and \[{{\lambda }_{de-broglie}}=\frac{h}{p}=\frac{h}{\sqrt{2meV}}.\]


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