MHT CET Chemistry question

Not in JEE Main or NEET syllabus

The metal crystallises with a face centred cubic lattice. The edge length of the unit cell is 408pm. The diameter of the metal atom is

Answer: (A)

Solution

In fcc the atoms touch along the face diagonal, so the diameter \dfrac{a}{\sqrt{2}}\dfrac{408}{1.414}$

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Question ID VK-043173