BHU PMT BHU PMT (Screening) Solved Paper-2007

  • question_answer
    The volume occupied by an atom is greater than the volume of the nucleus by factor of about

    A)  \[{{10}^{10}}\]                                 

    B)  \[{{10}^{15}}\]

    C)  \[{{10}^{1}}\]                                   

    D)  \[{{10}^{5}}\]

    Correct Answer: B

    Solution :

                     \[Radius\text{ }of\text{ }atom\approx {{10}^{-10}}m\] \[Radius\text{ }of\text{ }nucleus\approx {{10}^{-15}}m\] \[Required\text{ }ratio=\frac{volume\text{ }of\text{ }atom}{volume\text{ }of\text{ }nucleus}\]                 \[=\frac{\frac{4}{3}\pi r_{1}^{3}}{\frac{4}{3}\pi r_{2}^{3}}\]                 \[={{\left( \frac{{{10}^{-10}}}{{{10}^{-15}}} \right)}^{3}}={{10}^{15}}\]


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