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NEET Sample Paper NEET Sample Test Paper-40

  • question_answer
    If 'a' stands for the edge length of the cubic  systems : simple cubic, body-centred and face- centred, then the ratio of radii of the spheres in these systems will be respectively

    A) \[\frac{1}{2}a:\sqrt{3}a:\frac{1}{\sqrt{2}}a\]

    B) \[\frac{1}{2}a:\frac{\sqrt{3}}{2}a:\frac{\sqrt{2}}{2}a\]

    C) \[\frac{1}{2}a:\sqrt{3}a:\sqrt{2}a\]

    D)  \[\frac{1}{2}a:\frac{\sqrt{3}}{4}a:\frac{1}{2\sqrt{2}}a\] 

    Correct Answer: D

    Solution :

     For simple cubic: \[r=\frac{a}{2}\] For bcc \[r=\frac{\sqrt{3}a}{4}\] For fcc \[r=\frac{a}{2\sqrt{2}}\] So, sc: bcc: fcc \[\frac{a}{2}:\frac{\sqrt{3}a}{4}:\frac{a}{2\sqrt{2}}\]


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