JEE Main & Advanced Sample Paper JEE Main Sample Paper-21

  • question_answer
    In  a simple cubic lattice of anions, the side length of the unit cell is \[2.88\overset{\text{o}}{\mathop{A}}\,\] The diameter of the void in the body centre is

    A) \[1.934\overset{\text{o}}{\mathop{A}}\,\]

    B) \[0.461\overset{\text{o}}{\mathop{A}}\,\]

    C) \[2.108\overset{\text{o}}{\mathop{A}}\,\]

    D) \[4.988\overset{\text{o}}{\mathop{A}}\,\]

    Correct Answer: C

    Solution :

    for \[(bcc)\,={{r}^{+}}/{{r}^{-}}=0.732\,\] and \[a=\frac{2({{r}^{+}}+{{r}^{-}})}{\sqrt{3}}\] and diameter of cubical void \[(2{{r}^{+}})=a\,(\sqrt{3}-1)\,=2.888\,\times 0.732\,=2.108\,\overset{\text{o}}{\mathop{\text{A}}}\,\]


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