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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` |
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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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