CMC Medical CMC-Medical Ludhiana Solved Paper-2012

  • question_answer
    Cu have the fee unit cell and length is 362 pm, what will be density to copper?

    A)  \[6.29g\text{/}c{{m}^{3}}\]       

    B)  \[2.23\text{ }g\text{/}c{{m}^{3}}\]

    C)  \[4.45g\text{/}c{{m}^{3}}\]       

    D)  \[8.92\text{ }g\text{/}c{{m}^{3}}\]

    Correct Answer: B

    Solution :

                    Density of copper \[=\frac{Z\times M}{{{a}^{3}}\times {{N}_{0}}\times {{10}^{-30}}}g\,c{{m}^{-3}}\] Here,     \[a=362\,pm,\]\[{{N}_{0}}=6.09\times {{10}^{23}}\] \[Z=12\]in fcc, \[M=63.546\] Density \[=\frac{12\times 63.546}{{{(362)}^{3}}\times 6.09\times {{10}^{23}}\times {{10}^{-30}}}\] \[=2.23\,g\,c{{m}^{3}}\]


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