VIT Engineering VIT Engineering Solved Paper-2015

  • question_answer
    An alloy of copper, silver and gold is found to have copper atom constituting the ccp lattice. If silver atom occupy the edge centres and gold atom is present at body centred, the alloy has a formula

    A) \[\text{C}{{\text{u}}_{\text{4}}}\text{A}{{\text{g}}_{\text{2}}}\text{Au}\]          

    B) \[\text{C}{{\text{u}}_{\text{4}}}\text{A}{{\text{g}}_{4}}\text{Au}\]

    C) \[\text{C}{{\text{u}}_{\text{4}}}\text{A}{{\text{g}}_{3}}\text{Au}\]                       

    D) \[\text{CuAgAu}\]

    Correct Answer: C

    Solution :

    Number of Cu atoms in the unit cell (fcc/ccp)                             \[=5\sqrt{3}\times {{10}^{-4}}=865\times {{10}^{-4}}wb\] Ag atoms occupying the edge centred \[{{\text{X}}_{\text{L}}}\text{=}{{\text{X}}_{\text{C}}}\] Au atoms presents at the body centred = 1 Hence, the formula is \[\text{ }\!\!\omega\!\!\text{ =}\frac{\text{1}}{\sqrt{\text{LC}}}\]


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