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NEET Chemistry NEET PYQ-The Solid State

  • question_answer
    A given metal crystallises out with a cubic structure having edge length of 361 pm. If there are four metal atoms in one unit cell, what is the radius of one atom?          [NEET 2015 ]

    A) 40 pm

    B) 127 pm

    C) 80 pm

    D) 108 pm

    Correct Answer: B

    Solution :

    [b] Give, edge length = 361 pm
    Four metal atoms in one unit cell
    i.e. effective number in unit cell (z) = 4 (given)
    \[\therefore \] It is a FCC Structure
    \[\therefore \] Face diagonal = 4r
    \[\sqrt{2}a=4r\Rightarrow r=\frac{\sqrt{2}+361}{4}=127pm\]


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