WB JEE Medical WB JEE Medical Solved Paper-2015

  • question_answer
    Suppose the mass of a single Ag-atom is \[m.\] Ag metal crystallises in fee lattice with unit cell of length q. The density of Ag metal in terms of a and \[m\] is

    A)  \[\frac{4m}{{{a}^{3}}}\]

    B)  \[\frac{2m}{{{a}^{3}}}\]

    C)  \[\frac{m}{{{a}^{3}}}\]

    D)  \[\frac{m}{4{{a}^{3}}}\]

    Correct Answer: B

    Solution :

     Given that. Mass of single Ag-atom \[=m\] Unit cell length \[=a\] Total atoms present per unit cell of fee lattice \[=4\] Therefore, mass of unit cell becomes \[4\,m.\] Volume of unit cell \[={{a}^{3}}\] \[\text{Density}\,(\rho )=\frac{\text{Mass}\,\text{of}\,\text{unit}\,\text{cell}}{\text{Volume}\,\text{of}\,\text{unit}\,\text{cell}}=\frac{4m}{{{a}^{3}}}\]


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