Haryana PMT Haryana PMT Solved Paper-2011

  • question_answer
    A compound \[CuCl\]has fee structure. Its density is \[3.4\text{ }ge{{m}^{-3}}\]. What is the length of unit cell?

    A)  \[4.521\overset{\text{o}}{\mathop{\text{A}}}\,~\]                       

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

    C)  \[5.213\overset{\text{o}}{\mathop{\text{A}}}\,~\]                       

    D)  \[4.976\overset{\text{o}}{\mathop{\text{A}}}\,~\]

    Correct Answer: B

    Solution :

                    Molecular mass of \[CuCl=99\] For fee structure, \[Z=4\]                                 \[d=\frac{Z\times M}{{{a}^{3}}\times {{N}_{0}}}\]                                 \[3.4=\frac{4\times 99}{{{a}^{3}}\times 6.023\times {{10}^{23}}}\]                                 \[{{a}^{3}}=\frac{4\times 99}{3.4\times 6.023\times {{10}^{23}}}\]                                 \[a=5.783\times {{10}^{-8}}cm=5.783\overset{\text{o}}{\mathop{\text{A}}}\,\]


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