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  5. The Solid State / ठोस प्रावस्था

JEE Main & Advanced Chemistry The Solid State / ठोस प्रावस्था Sample Paper Topic Test - Solid State

  • question_answer
    A metal crystallizes into two cubic phases, face centred cubic (fee) and body centred cubic (bcc) whose unit cell lengths are 3.5 and \[3.0\,\overset{o}{\mathop{A}}\,\] respectively. Calculate the ratio of the densities of fee and bee.

    A) 1.67

    B) 1.26

    C) 6.23

    D) 1.04

    Correct Answer: B

    Solution :

    [b] FCC has 4 atoms in a unit cell
    BCC has 2 atoms in a unit cell
    \[d=\frac{z\times M}{{{N}_{0}}\times {{a}^{3}}}\]
    \[\frac{{{d}_{FCC}}}{{{d}_{BCC}}}=\frac{4}{2}\frac{{{(3.0)}^{3}}}{{{(3.5)}^{3}}}=1.26\]


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