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The correct relationship between unit cell edge length ' \(a\) ' and radius of sphere ' \(r\) ' for face-centred and bod…

Q1

The correct relationship between unit cell edge length ' \(a\) ' and radius of sphere ' \(r\) ' for face-centred and body centred cubic structures respectively are:

[JEE Main 2023, 10 Apr (Shift 2)]

a

\(
r=2 \sqrt{2} a \text { and } \sqrt{3} r=4 a
\)

b

\(
r =2 \sqrt{2} a \text { and } 4 r =\sqrt{3} a
\)

c

\(
2 \sqrt{2} r = a \text { and } 4 r =\sqrt{3} a
\)

d

\(
2 \sqrt{2} r = a \text { and } \sqrt{3} r =4 a
\)

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