NEET Sample Paper NEET Sample Test Paper-79

  • question_answer
    Diamond has a FCC structure with two atoms per lattice point and a unit cell of edge length \[3.569\overset{{}^\circ }{\mathop{A}}\,\]. What will be the density of diamond?

    A)  \[3.506 gc{{m}^{-\,3}}\]         

    B)  \[3.0 gc{{m}^{-\,3}}\]

    C)  \[1.75 gc{{m}^{-\,3}}\]                       

    D)  \[1.5 gc{{m}^{-\,3}}\]

    Correct Answer: A

    Solution :

    We know that \[\rho =\frac{ZM}{N{{a}^{3}}}\] Given, \[\operatorname{Z}=8,\,\,M\,\,=12\] \[\operatorname{N} =6.023 \times 1{{0}^{23}}\] \[\operatorname{a}=\,\,3.569\,\,\times \,\,1{{0}^{-\,10}}\,m\] \[\rho =\frac{8\,\,\times \,\,12}{6.023\,\,\times \,\,{{10}^{23}}\,{{(3.569\,\,\times \,\,{{10}^{-10}})}^{3}}}\] \[=\,\,\,\,3.506 gc{{m}^{-}}^{3}\]


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