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A solid has a b.c.c. structure. If the d...

A solid has a b.c.c. structure. If the distance of closest approach between the two atoms is 1.73Å. The edge length of the cell is:

A

200 pm

B

`(sqrt(3))/(sqrt(2))`pm

C

142.2 pm

D

`sqrt(2)` pm

Text Solution

Verified by Experts

The correct Answer is:
A
`r_("atom")=(sqrt(3))/(4)a`, also closest approach in bcc lattice is `1/2` of body diagonal.
i.e., `(sqrt(3))/(2)a=1.73Å` or `a=(1.73xx2)/(sqrt3)=1.996`Å=199.6 pm
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