MGIMS WARDHA MGIMS WARDHA Solved Paper-2015

  • question_answer
    A compound\[CuCl\]has face-centred cubic structure. Its density is\[3.4\text{ }g\text{ }c{{m}^{-3}}\]. The length of unit cell is

    A)  \[8.734\overset{o}{\mathop{\text{A}}}\,\]                        

    B)  \[5.834\overset{o}{\mathop{\text{A}}}\,\]

    C)  \[5.783\overset{o}{\mathop{\text{A}}}\,\]                        

    D)  \[8.153\overset{o}{\mathop{\text{A}}}\,\]

    Correct Answer: C

    Solution :

                    Molecular mass of\[CuCl=99\] \[Z=4\]for face-centred cubic cell from the formula Density\[=\frac{Z\times M}{V\times {{N}_{A}}}=\frac{4\times 99}{{{a}^{3}}\times 6.023\times {{10}^{23}}}\] Or           \[3.4=\frac{4\times 9}{{{a}^{3}}\times 6.023\times {{10}^{23}}}\] Or           \[a=5.783\times {{10}^{-8}}cm=5.783\overset{o}{\mathop{\text{A}}}\,\]


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