JEE Main & Advanced JEE Main Online Paper (Held on 9 April 2013)

  • question_answer
                    From the following, the quantity (constructed from the basic constants of nature), that has the dimensions, as well as correct order of magnitude, vis-a-vis typical atomic size, is:                   JEE Main Online Paper (Held On 09 April 2013)

    A)                 \[\frac{{{e}^{2}}}{4\pi {{\varepsilon }_{0}}\,m{{c}^{2}}}\]                                             

    B)                 \[\frac{4\pi {{\varepsilon }_{0}}\,{{b}^{2}}}{m{{e}^{2}}}\]                             

    C)                        \[\frac{m{{c}^{2}}}{4\pi {{\varepsilon }_{0}}\,{{b}^{2}}}\]                                             

    D)                 \[\frac{4\pi {{\varepsilon }_{0}}\,m{{c}^{2}}}{{{e}^{2}}}\]                

    Correct Answer: B

    Solution :

                    The typical atomic size given by \[\frac{4\pi {{\varepsilon }_{0}}{{h}^{2}}}{m{{e}^{2}}}\]                


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