BVP Medical BVP Medical Solved Paper-2013

  • question_answer
    If an electron is moving around a nucleus of charge 2e in a circular orbit of radius \[3.6\times {{10}^{15}}Hz\]then calculate the initial frequency of light emitted by the electron

    A)  \[4.2\times {{10}^{15}}Hz\]

    B)  \[4.2\text{ }J/{{g}^{o}}C\]

    C)  \[3\times {{10}^{9}}Hz\]

    D)  \[{{20}^{o}}C\]

    Correct Answer: C

    Solution :

                     We know that \[\frac{m{{v}^{2}}}{r}={{\left( \frac{2{{e}^{2}}}{4\pi {{\varepsilon }_{0}}mr} \right)}^{1/2}}\] Also frequency \[f=\frac{v}{2\pi r}={{\left( \frac{2{{e}^{2}}}{4\pi {{\varepsilon }_{0}}mv} \right)}^{1/2}}\frac{1}{2\pi r}\] \[f=\frac{(1.414)\,{{(9\times {{10}^{9}})}^{1/2}}1.6\times {{10}^{-19}}}{{{(9.1\times {{10}^{-31}})}^{1/2}}\times 2\pi {{({{10}^{-10}})}^{3/2}}}\] \[=3.6\times {{10}^{15}}Hz\]


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