JEE Main & Advanced Sample Paper JEE Main Sample Paper-14

  • question_answer
    An alloy of Cu, Ag and Au is found to have copper constituting the ccp lattice. If Ag atom occupy the edge centre and Au atom is present at body centre, the formula of this alloy is

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

    B)  \[C{{u}_{4}}A{{g}_{2}}Au\]

    C)  \[Au\,Ag\,Cu\]                

    D)  \[C{{u}_{4}}A{{g}_{3}}Au\]

    Correct Answer: D

    Solution :

     Cu atoms forming ccp lattice \[\therefore \] No. of Cu atom \[=\frac{1}{8}\times 8\] (at corner) \[+\frac{1}{2}\,\times 6\] (at face) \[=1+3=4\] No. ofAg atom at edge of ccp \[=\frac{1}{4}\,\times 12=3\] No. of Au atom at centre of cop \[=1\times 1=1\] \[\therefore \] Formula of alloy \[C{{u}_{4}}A{{g}_{3}}Au\].


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