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The unit cell of aluminium is a cube wi...

The unit cell of aluminium is a cube with an edge length of 405 pm. The density of aluminium is `2.70 g cm^(-3)` . What type of unit cell of aluminium is ?

A

bcc

B

fcc

C

sc

D

end centred

Text Solution

Verified by Experts

The correct Answer is:
B
`rho=(nM)/(N_(o)a^(3))`
`2.7=(n xx27)/(6.023xx10^(23)xx(405xx10^(-10))^(3))rArr n=4`
Since n = 4, the lattice is fcc.
Hence, (B) is the correct answer.
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