JEE Main & Advanced JEE Main Paper (Held On 09-Jan-2019 Evening)

  • question_answer
    At\[100{}^\circ C\], copper (Cu) has FCC unit cell structure with cell edge length of x \[\overset{o}{\mathop{A}}\,\]. What is the approximate density of Cu (in\[g\text{ }c{{m}^{-}}^{3}\]) at this temperature? [Atomic Mass of \[Cu\,\,=\,\,63.55\,u\]] [JEE Main Online Paper (Held On 09-Jan-2019 Evening]

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

    B) \[\frac{205}{{{x}^{3}}}\]

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

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

    Correct Answer: A

    Solution :

    \[d\,\,=\,\,\frac{Z\,\times \,M}{{{N}_{A}}\,\times \,{{a}^{3}}}\] For fee unit cell \[Z\,\,=\,\,4\] \[d\,\,=\,\,\,\frac{4\,\,\times \,\,63.55}{6.023\,\,\times \,\,{{10}^{23}}\,\,\times \,\,{{(X\times {{10}^{-8}})}^{3}}}~\] \[\therefore \,\,\,\,d\,\,\cong \,\,\,\frac{422}{{{x}^{3}}}~\]          


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