Question

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13. A metal crystallizes with a face-centred
cubic lattice. The edge of the unit cell is
408 pm. The diameter of the metal atom is
(AIPMT Prelim. 2012)
(a) 288 pm
(b) 408 pm
(c) 144 pm
(d) 204 pm
​

Answer 1

Answer:

for fcc a=2rt2r

in question a= 408 pm

408=2rt2r

408/2rt2=r

204/rt2=r

r= 144.28

diameter=2*r

diameter= 2*144.228

diameter=288.456

option a is correct.