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AIPMT PRELIMS2012Chemistry-Solid State

AIPMT PRELIMS 2012 Chemistry Crystal Lattices MCQ Question

Type: MCQ-numerical-Medium

A metal crystallizes with a face-centered cubic lattice. The edge of the unit cell is 408 pm. The diameter of the metal atom is :

A

204 pm

B

288 pm

C

408 pm

D

144 pm

Correct Answer

Option B

Detailed Explanation

In a face-centered cubic lattice, the relation between the edge length (a) and the atomic radius (r) is a = 2√2r. Solving gives the diameter as 288 pm.

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