JEE Main & Advanced Sample Paper JEE Main Sample Paper-36

  • question_answer
    An element (atomic mass \[=100g/mol\]) having bcc structure has unit cell edge 400pm. The density (in \[g/c{{m}^{3}}\]) of the element is

    A)  \[10.376\]                    

    B)  \[5.19\]

    C)  \[7.289\]                      

    D)  \[2.144\]

    Correct Answer: B

    Solution :

     For bcc lattice, number of atoms per unit cell = 2 Now \[d=\frac{n\times M}{{{a}^{3}}\times {{N}_{0}}}=\frac{2\times 100}{{{(4\times {{10}^{-8}}cm)}^{3}}\times 6.02\times {{10}^{23}}}\]\[=200/38.528=5.19g/cc\]


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