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Question: Copper crystallises in fcc with a unit cell length of 361 pm. What is the radius of copper atom ?...

Copper crystallises in fcc with a unit cell length of 361 pm. What is the radius of copper atom ?

A

127 pm

B

157 pm

C

181 pm

D

108 pm

Answer

127 pm

Explanation

Solution

In fcc unit cell 4r = 2a\sqrt { 2 } a [r = radius of Cu atom, a = edge length]

So r = 2a4\frac{\sqrt{2}a}{4}

r = 2×3614\frac{\sqrt{2} \times 361}{4}= 127 pm.