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 short wavelength limit of continuous X-radiation emitted by an X-ray tube operating at 30 kV is 0.414 A. Calculate Planck's constant.

    A) \[\text{6}\text{.22 }\!\!\times\!\!\text{ 1}{{\text{0}}^{\text{-34}}}\text{erg-sec}\]

    B) \[\text{6}\text{.624 }\!\!\times\!\!\text{ 1}{{\text{0}}^{\text{-24}}}\text{erg-sec}\]

    C) \[\text{6}\text{.624 }\!\!\times\!\!\text{ 1}{{\text{0}}^{\text{-27}}}\text{J-sec}\]

    D) \[\text{6}\text{.624 }\!\!\times\!\!\text{ 1}{{\text{0}}^{\text{-34}}}\text{J-sec}\]

    Correct Answer: D

    Solution :

    [d] \[{{\lambda }_{\min }}=\frac{ch}{eV}\therefore h=\left( \frac{eV}{c} \right){{\lambda }_{\min }}\] \[h=\frac{1.6\times {{10}^{-19}}\times 30000\times 0.141\times {{10}^{-10}}}{3\times {{10}^{8}}}\] \[\Rightarrow h=6.624\times {{10}^{-34}}J-\sec \]


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