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The gamma-form of iron has fcc structure...

The `gamma`-form of iron has `fcc` structure (edge length `386 pm`) and `beta`-form has `bcc` structure (edge length `290 pm`). The ratio of density in `gamma`-form and `beta`-form is

A

`0.9788`

B

`1.02`

C

`1.57`

D

`0.6344`

Text Solution

Verified by Experts

The correct Answer is:
A

`Z_(eff)` for fcc `= 4` and forbcc `= 2//"unit cell"`
`(rho_(lambda))/(rho_(beta))=(rho_(fc c))/(rho_(fc c))=(Z_(eff(fc c))/(Z_(eff(bc c))))xx((a_(bc c))/(a_(fc c)))^(3)`
`= 4/2 xx ((290)/(386))^(3) = 0.9788`
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