BVP Medical BVP Medical Solved Paper-2013

  • question_answer
    Density of Li atom is \[0.53g\,\,c{{m}^{-3}}\]. The edge length of \[Li\] is\[3.5\overset{\text{o}}{\mathop{\text{A}}}\,\]. Find out the number of  \[Li\]atoms in a unit cell \[({{N}_{A}}=6.023\times {{10}^{23}},\,M=6.94)\]

    A)  \[1\]                                    

    B)  \[2\]

    C)  \[3\]                                    

    D)  \[4\]

    Correct Answer: B

    Solution :

                    \[d=\frac{ZM}{{{a}^{3}}.{{N}_{0}}}\]  or  \[Z=\frac{d{{a}^{3}}\,{{N}_{0}}}{M}\]\[=\frac{0.53g\,c{{m}^{-3}}\times {{(3.5\times {{10}^{-8}}cm)}^{3}}\times 6.023\times {{10}^{3}}mo{{l}^{-1}}}{100\times 0.0832}\]\[=1.97=2\]


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