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A metal with an atomic radius of 141.4...

A metal with an atomic radius of `141.4` pm crystallizes in the face centered cubic structure. The volume of the unit cell in pm is -

A

`2.74 xx 10^(7)`

B

`2.19 xx 10^(7)`

C

`6.40 xx 10^(7)`

D

`9.20 xx 10^(7)`

Text Solution

Verified by Experts

The correct Answer is:
C
`r = (a)/(2sqrt(2)) = 141.4` pm
`a = 2 xx sqrt(2) xx 141.4`
`:. V = a^(3) = (2 xx sqrt(2) xx 141.4)^(3)`
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