BCECE Medical BCECE Medical Solved Papers-2006

  • question_answer
    In hydrogen atom, the electron is moving round the nucleus with velocity \[2.18\times {{10}^{6}}\]m/s in an orbit of radius \[0.528\overset{\text{o}}{\mathop{\text{A}}}\,\]. The acceleration of the electron is :

    A)  \[9\times {{10}^{18}}m/{{s}^{2}}\]

    B)  \[9\times {{10}^{22}}m/{{s}^{2}}\]

    C)  \[9\times {{10}^{-22}}m/{{s}^{2}}\]

    D)  \[9\times {{10}^{22}}m/{{s}^{2}}\]

    Correct Answer: B

    Solution :

    Acceleration or electron moving round the nucleus is                 \[a=\frac{{{v}^{2}}}{r}=\frac{{{(2.18\times {{10}^{6}})}^{2}}}{0.528\times {{10}^{-10}}}\] Given, \[v=2.18\times {{10}^{6}}m/s,\,r=0.528\times {{10}^{-10}}m\] Substituting the values in the relation, we have                 \[a=\frac{{{(2.18\times {{10}^{6}})}^{2}}}{0.528\times {{10}^{-10}}}\] \[\approx 9\times {{10}^{22}}m/{{s}^{2}}\]


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