JEE Main & Advanced Sample Paper JEE Main - Mock Test - 35

  • question_answer
    An element (atom mass = 100 g/mol) having BCC structure has unit cell edge 400 pm. The density of the element is -

    A) \[2.144\text{ }g/c{{m}^{3}}\]    

    B)        \[5.188\text{ }g/c{{m}^{3}}\]

    C) \[7.289\text{ }g/c{{m}^{3}}\]     

    D)       \[10.376\text{ }g/c{{m}^{3}}\]

    Correct Answer: B

    Solution :

    [b] \[\rho =\frac{Z\times {{M}_{W}}}{{{N}_{A}}\times V}=\frac{2\times 100}{6\times {{10}^{23}}\times {{(400\times {{10}^{-10}})}^{3}}}\] \[=5.188g/c{{m}^{3}}\]


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