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KVPY Sample Paper KVPY Stream-SX Model Paper-16

  • question_answer
    At \[100{}^\circ C,\] copper (Cu) has FCC unit cell structure with cell edge length \[x\overset{o}{\mathop{A}}\,.\] What is the approximate density of Cu \[(in\,g\,C{{m}^{-\,\,3}})\] at this temperature? [Atomic mass of\[Cu=63.55u\]]

    A)  \[\frac{205}{{{x}^{3}}}\]

    B) \[\frac{105}{{{x}^{3}}}\]

    C) \[\frac{211}{{{x}^{3}}}\]       

    D) \[\frac{422}{{{x}^{3}}}\]

    Correct Answer: D

    Solution :

    \[d=\frac{ZM}{{{N}_{a}}{{a}^{3}}}\] \[=\frac{4\times 63.55}{6.023\times {{10}^{23}}\times {{(x\times {{10}^{-8}})}^{3}}}\] \[=\frac{422}{{{x}^{3}}}\text{gm/c}{{\text{m}}^{3}}.\]


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