NEET AIPMT SOLVED PAPER 1999

  • question_answer
                    Sodium has body centred packing. If the distance between two nearest atoms is \[\text{3}\text{.7}\overset{\text{o}}{\mathop{\text{A}}}\,\] then the lattice parameter is:        

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

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

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

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

    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                 \[\frac{\sqrt{3}}{2}a=3.7\]                 \[\therefore \]  \[a=\frac{3.7\times 2}{\sqrt{3}}=\frac{3.7\times 2}{1.773}=4.3\,\overset{\text{o}}{\mathop{\text{A}}}\,\]


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