NEET Sample Paper NEET Sample Test Paper-35

  • question_answer
    Potassium has a bcc structure with nearest neighbour distance \[4.52\text{ }A{}^\circ \]. Its atomic weight is 39. Its density will be

    A)  \[454\text{ }kg\text{ }{{m}^{-3}}\]       

    B)  \[804\text{ }kg\text{ }{{m}^{-3}}\]

    C) \[852\text{ }kg\text{ }{{m}^{-3}}\]       

    D)  \[908k\,g{{m}^{-3}}\]

    Correct Answer: D

    Solution :

    For bcc,   \[d=\frac{\sqrt{3}}{2}a\] \[a=\frac{2d}{\sqrt{3}}=\frac{2\times 4.52}{1.732}\] \[=5.219{{A}^{o}}=522pm\] \[\rho =\frac{Z\times M}{{{a}^{2}}\times {{N}_{0}}\times {{10}^{-30}}}\] \[=\frac{2\times 39}{{{(522)}^{3}}\times 6.02\times {{10}^{23}}\times {{10}^{-30}}}\] \[=0.91\,g/c{{m}^{3}}=910\,kg{{m}^{-3}}\]


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