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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. `108p m`B. `40p m`C. `127p m`D. `80p m`

Answer» Correct Answer - 3
Since there are four metal atoms in one unit cell the metal crystalline in `FC C` lattice.For `FC C` unit cell
`4r=sqrt(2)a`
`r=(sqrt(2))/(4)a=(sqrt(2))/(2.2)a=(sqrt(2)a)/(2sqrt(2)sqrt(2))`
`=(a)/(2sqrt(2))`
`=(361p m)/(2sqrt(2))`
`=127p m =(sqrt(2)=1.414)`


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