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QAIPMT-2008-Ch-2202: NEET 2008 Chemistry - Class 12 AIPMT-2008-Ch-2202 Solution: If a stands for the edge length of the cubic systems: simple…

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

Multiple Choice Options

  • A 12a:32a:22a\frac{1}{2}a:\frac{\sqrt{3}}{2}a:\frac{\sqrt{2}}{2}a
  • B 1a:3a:2a1a:\sqrt{3}a:\sqrt{2}a
  • C 12a:34a:122a\frac{1}{2}a:\frac{\sqrt{3}}{4}a:\frac{1}{2\sqrt{2}}a
  • D 12a:3a:12a\frac{1}{2}a:\sqrt{3}a:\frac{1}{\sqrt{2}}a

Step-by-Step Verified Solution

For Simple cubic : r + + r � = a 2 For Body centred : r + + r � = a 2 4 For Face centered: r + + r � = a 2 2 _ Ratio of radii of the three will be = 1 2 a : 3 4 a : 1 2 2 a

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