NEET Sample Paper NEET Sample Test Paper-23

  • question_answer
    An\[\alpha -\]particle of energy 5 MeV is scattered through \[180{}^\circ \] by a fixed uranium nucleus. The distance of closest approach is of the order of

    A) \[1\,\overset{\text{o}}{\mathop{\text{A}}}\,\]                      

    B) \[{{10}^{-10\text{ }}}cm\]

    C) \[~{{10}^{-12}}\text{ }cm\]                      

    D) \[~{{10}^{-15}}\text{ }cm\]

    Correct Answer: C

    Solution :

    The distance of closet approach is given by \[{{r}_{0}}=\frac{1}{4\pi {{\varepsilon }_{0}}}.\frac{2Z{{e}^{2}}}{{{E}_{k}}}.\]Here, \[Z=92\]and \[{{E}_{k}}=5\,MeV\] Putting the values, we get\[{{r}_{0}}={{10}^{-12}}\,cm.\] Hence, the correction option is [c].


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