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

  • question_answer
    A crystal is made of particles A and B. A forms fcc packing and B occupies all the octahedral voids. If all the particles along the plane as shown in the figure are removed, then the formula of the crystal would be:

    A) \[AB\]

    B) \[{{A}_{5}}{{B}_{7}}\]

    C) \[{{A}_{7}}{{B}_{5}}\]

    D) none of these 

    Correct Answer: A

    Solution :

    [a] Effective number of (particles removed
    \[=4\times \frac{1}{8}+2\times \frac{1}{2}=\frac{3}{2}\]
    Effective number of B particles removed
    \[=2\times \frac{1}{4}+1=\frac{3}{2}\]
    Effective number of B particles present in a unit cell \[=4-\frac{3}{2}=\frac{5}{2}\]
    A          :           B         
    \[\frac{5}{2}\]   :           \[\frac{5}{2}\]   or         \[1:1\]


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