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Question: An element 'A' has face-centred cubic structure with edge length equal to 361 pm. The apparent radiu...

An element 'A' has face-centred cubic structure with edge length equal to 361 pm. The apparent radius of atom 'A' is -

A

127.6 pm

B

180.5 pm

C

160.5 pm

D

64 pm

Answer

127.6 pm

Explanation

Solution

a 2\sqrt{2} = 4r

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

= 1.414×3614\frac{1.414 \times 361}{4}

= 127.6 pm