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Q.

Sodium metal crystallizes in a body centred cubic lattice with a unit cell edge of 4.29 A. The radius of sodium atom is approximately

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a

1.86 

b

3.22 

c

5.72 

d

0.93 

answer is A.

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Detailed Solution

In a body centred cubic lattice, atoms touch each other along the body diagonal of the cube. Hence

4r=3a or r=(3/4) a=(3/4)(4.29 )=1.86 

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Sodium metal crystallizes in a body centred cubic lattice with a unit cell edge of 4.29 A. The radius of sodium atom is approximately