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Question: A metal X crystallizes in a face – centred cubic arrangement with the edge length 862 pm. What is th...

A metal X crystallizes in a face – centred cubic arrangement with the edge length 862 pm. What is the shortest separation of any two nuclei of the atoms?

A

406 pm

B

707 pm

C

862 pm

D

609.6pm609.6pm

Answer

609.6pm609.6pm

Explanation

Solution

For fcc arrangement, distance of nearest neighbour is

d=a2=8621.414=609.6d = \frac{a}{\sqrt{2}} = \frac{862}{1.414} = 609.6