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NEET 2014
Exam
NEET
Year
2014
Subject
Chemistry
Chapter
Solid State

NEET 2014 · Chemistry · Solid State

If a the length of the side of a cube, the distance between the...

If aa the length of the side of a cube, the distance between the body centered atom one corner atom in the cube will beIf a the length of the side of a cube, the distance between the body centered atom one corner atom in the cube will be

Options

  1. A23a\dfrac{2}{\sqrt{3}}a
  2. B43a\dfrac{4}{\sqrt{3}}a
  3. C34a\dfrac{\sqrt{3}}{4}a
  4. D32a\dfrac{\sqrt{3}}{2}a

Correct answer

D. 32a\dfrac{\sqrt{3}}{2}a

Step-by-step solution

In a regular cube let the edge length be aa.

Then the face diagonal will be 2a\sqrt{2}a

Body diagonal is 3a\sqrt{3}a.

The distance between the center of the cube and the corner is the half distance of the body diagonal i.e 3a2\dfrac{\sqrt{3}a}{2}.

If a the length of the side of a cube, the distance between the body centered atom one corner atom in the cube will be

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