JCECE Engineering JCECE Engineering Solved Paper-2015

  • question_answer
    An alloy of \[Cu,\,\,Ag,\,\,Au\] is found to have a simple cubic close packed lattice. If the \[Ag\] atoms occupy the face centres and \[Au\] is present at the body centre, the formula of the alloy will be

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

    B) \[CuA{{g}_{3}}Au\]

    C) \[CuAgCu\]

    D) \[C{{u}_{4}}A{{g}_{2}}Cu\]

    Correct Answer: B

    Solution :

    \[Cu\]atoms are at eight comers of the cube. Therefore, the number of Cu atoms in the unit cell                 \[=\frac{8}{8}=1\] \[Au\] atoms are at the face-centre of six faces. Therefore, its share in the unit cell\[=\frac{6}{2}=3\] At atoms are at the body centres, so the number of \[Au\] atom\[=1\] \[\therefore \]The formula of the alloy is\[CuA{{g}_{3}}Au\].


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