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A metal crystallizes into two cubic phases, face centred cubic (FCC) and body-centred cubic (BCC) whose unit cell lengths are 3.5 and 3.0 A0 respectively. The ratio of the densities of FCC and BCC is ___

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detailed solution

Correct option is A

Given, Metal Crystallizes
We need to find the ratio of the densities of FCC and BCC is, from the given option.

 Density (ρ)=Zeff ×Mwa3×NA fcc, Zeff =4 ρfcc=4×Mw3.5×10-83×NA  For bcc, Zeff =2 ρfcc=2×Mw3×10-83×NAρfccρbcc=4×(3)3(3.5)3×2=1.26

Therefore, the correct answer is 1.26

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detailed solution

Correct answer is 1.26

Given, Metal Crystallizes
We need to find the ratio of the densities of FCC and BCC is, from the given option.

 Density (ρ)=Zeff ×Mwa3×NA fcc, Zeff =4 ρfcc=4×Mw3.5×10-83×NA  For bcc, Zeff =2 ρfcc=2×Mw3×10-83×NAρfccρbcc=4×(3)3(3.5)3×2=1.26

Therefore, the correct answer is 1.26

Talk to our academic expert!

+91

Are you a Sri Chaitanya student?

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