NEET Physics Semiconducting Devices NEET PYQ-Semiconducting Devices

  • question_answer
    Sodium has body centred packing. If the distance between two nearest atoms is \[3.7\overset{o}{\mathop{A}}\,\] then the lattice parameter is:                                                                                                          [AIPMT 1999]

    A)  \[3.3\,\overset{o}{\mathop{A}}\,\]

    B)                   \[3.9\,\overset{o}{\mathop{A}}\,\]

    C)  \[4.3\,\overset{o}{\mathop{A}}\,\]

    D)                   \[4.8\,\overset{o}{\mathop{A}}\,\]

    Correct Answer: C

    Solution :

    The distance between any two nearest neighbours (atoms) in body centered lattice is \[\frac{\sqrt{3}}{2}a,\] where a is lattice parameter.
    We have given
    \[\frac{\sqrt{3}}{2}a=3.7\]
    \[\therefore \]      \[a=\frac{3.7\times 2}{\sqrt{3}}=\frac{3.7\times 2}{1.773}=4.3\,\overset{o}{\mathop{A}}\,\]


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