RAJASTHAN PMT Rajasthan - PMT Solved Paper-1996

  • question_answer
    If the density of silver is \[10.8g\text{ }c{{m}^{-8}}\]then which of the following volume of an atom of silver?

    A)  \[1.66\times {{10}^{-23}}c{{m}^{3}}\]

    B)                         \[1.66\times {{10}^{-20}}c{{m}^{3}}\]

    C)                         \[1.66\times {{10}^{-22}}c{{m}^{3}}\]

    D)                         \[1.66\times {{10}^{-18}}c{{m}^{3}}\]

    Correct Answer: A

    Solution :

    Because the number of atom in \[108g\] \[Ag=6.023\times {{10}^{23}}\] The number of atom in \[10.8g\] \[Ag=6.023\times {{10}^{22}}\] because, the value of \[10.8g\text{ }Ag=1c{{m}^{3}}\] \[\therefore \]the volume of \[6.023\times {{10}^{22}}\]atom\[=1c{{m}^{3}}\] \[\therefore \] the volume of 1 atom                                 \[=\frac{1}{6.023\times {{10}^{22}}}c{{m}^{3}}\]                                 \[=1.66\times {{10}^{-23}}c{{m}^{3}}\]


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