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NEET Sample Paper NEET Sample Test Paper-48

  • question_answer
    A metal crystallises, into two cubic phases, face centred (FCC) & body centred (BCC) whose unit cell lengths are \[3.5\overset{\operatorname{o}}{\mathop{A}}\, and 3.0\overset{\operatorname{o}}{\mathop{A}}\,\] respectively. Calculate ratio of their densities:

    A) 1:26                 

    B) 1:20   

    C) 1:10                 

    D) 1:15

    Correct Answer: A

    Solution :

    \[\frac{{{\rho }_{FCC}}}{{{\rho }_{BCC}}}=\frac{{{Z}_{FCC}}}{{{\left( {{a}^{3}} \right)}_{FCC}}}\times \frac{{{\left( {{a}^{3}} \right)}_{BCC}}}{{{Z}_{BCC}}}\] \[=\frac{4\times {{\left( 3.0 \right)}^{3}}}{2\times {{\left( 3.5 \right)}^{3}}}=\frac{1}{26}=1:26\]


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