VMMC VMMC Medical Solved Paper-2007

  • question_answer
    Copper has face-centered cubic \[(fcc)\] lattice with interatomic spacing equal to 2.54 \[\overset{0}{\mathop{A}}\,\]. The value of lattice constant for this lattice is

    A) 1.27\[\overset{0}{\mathop{A}}\,\]         

    B)        5.08 \[\overset{0}{\mathop{A}}\,\]        

    C) 2.54\[\overset{0}{\mathop{A}}\,\]         

    D)        3.59 \[\overset{0}{\mathop{A}}\,\]

    Correct Answer: D

    Solution :

    Interatomic spacing for a fcc lattice \[r={{\left[ {{\left( \frac{a}{2} \right)}^{2}}+{{\left( \frac{a}{2} \right)}^{2}}+{{(0)}^{2}} \right]}^{1/2}}=\frac{a}{\sqrt{2}}\] a being lattice constant. \[\therefore \]  \[a=\sqrt{2}r=\sqrt{2}\times 2.54=3.59\overset{\text{o}}{\mathop{\text{A}}}\,\]


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