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The volume of atom present in a face-cen...

The volume of atom present in a face-centred cubic unit cell of a metal (`r` is atomic radius ) is

A

`12/3 pir^3`

B

`16/3 pir^3`

C

`20/3 pir^3`

D

`24/3 pir^3`

Text Solution

Verified by Experts

The correct Answer is:
B
`a=2sqrt2r`
Volume of the cell =`a^3=(2sqrt2r)^3=16sqrt2r^3`
No. of spheres in fcc = `8xx1/8+6xx1/2=4`
Volume of 4 spheres = `4xx4/3pir^3=16/3pir^3`
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