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AIPMT MAINS2009Chemistry-Solid State

AIPMT MAINS 2009 Chemistry Crystal Lattices MCQ Question

Type: MCQ-numerical-Medium

Copper crystallises in a face-centred cubic lattice with a unit cell length of 361 pm. What is the radius of copper atom in pm?

A

157

B

181

C

108

D

128

Correct Answer

Option D

Detailed Explanation

In a face-centred cubic lattice, the relation between the edge length (a) and the atomic radius (r) is a = 2√2r. Solving for r, we get r = a/(2√2) = 361/(2√2) ≈ 128 pm.

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