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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Infinity Learn · Accepted Answer

Given, Metal CrystallizesWe need to find the ratio of the densities of FCC and BCC is, from the given option. Density $$($$ρ$$)=Zeff$$ ×$$Mwa3$$×NA fcc, Zeff $$=4$$ ρ$$fcc=4$$×$$Mw3.5$$×$$10-83$$×NA  For bcc, Zeff $$=2$$ ρ$$fcc=2$$×$$Mw3$$×$$10-83$$×NAρfccρ$$bcc=4$$×$$(3)3(3.5)3$$×$$2=1.26Therefore$$, the correct answer is $$1.26$$

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 A⁰respectively. The ratio of the densities of FCC and BCC is ___

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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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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 A⁰respectively. The ratio of the densities of FCC and BCC is ___