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

  • Option 1)

    \frac{2a}{\sqrt{3}}

  • Option 2)

    \frac{4a}{\sqrt{3}}

  • Option 3)

    \frac{\sqrt {3}a}2

  • Option 4)

    \frac{\sqrt {3}a}4

 

Answers (1)

best_answer

length\: of\: body\: diagonal=a\sqrt{3}

distance\: between\: a\: corner\: and\: body\: centre=\frac{a\sqrt{3}}{2}

 

Relation between radius of constituent particle, R and edge length, a for body centered cubic unit cell -

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Option 1)

\frac{2a}{\sqrt{3}}

This is incorrect

Option 2)

\frac{4a}{\sqrt{3}}

This is incorrect

Option 3)

\frac{\sqrt {3}a}2

This is correct

Option 4)

\frac{\sqrt {3}a}4

This is incorrect

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