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

A solid has a `b.c.c.` structure . If the distance of closest approach between the two atoms is `1.73 Å`. 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 = 1.73 Å`
`therefore a = (1.73xx2)/(sqrt(3))=1.996 A = 199.6` pm
Hence (A) is correct.
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