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A given metal crystalline out with a cu...

A given metal crystalline out with a cubic structure having edge length of `361` pm .if there are four metal atoms in one unit cell, what is the radius of metal atom?

A

127 pm

B

80 pm

C

108 pm

D

40 pm

Text Solution

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The correct Answer is:
A

In fcc unit cel (Z=4)
`4r=sqrt(2) a`
`r=(sqrt(2)a)/(4) = (1.414xx361)/(4)`
127.25 pm `~~` 127 pm
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