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Two ionic solids AB and CB crystallize i...

Two ionic solids AB and CB crystallize in rock salt structure. If `r_(A^(o+))//r_(B^(Θ)) and r_(C^(o+))//r_(B^(Θ))` are 0.50 and 0.70, respectively, the ratio of unit cell edge length of AB and CB is

A

0.68

B

0.78

C

0.88

D

0.98

Text Solution

Verified by Experts

The correct Answer is:
C
`(r_(A)^(o+))/(r_(B^(Θ)))=0.50 and (r_(C^(o+)))/(r_(B^(Θ)))=0.70implies(r_(A^(o+))+r_(B^(Θ)))/(r_(B^(Θ)))=1+0.5=1.5`
Similarly, `(r_(C^(o+))+r_(B^(Θ)))/(r_(B^(Θ)))=1.70" "therefore(r_(A^(o+))+r_(B^(Θ)))/(r_(C^(o+))+r_(B^(Θ)))=(1.5)/(1.7)=0.88`
Also, `a_(AB-2(r_(A^(o+))+r_(B^(Θ))))` and `a_(CB=2(r_(C^(o+))+r_(B^(Θ))))` `therefore(a_(AB))/(a_(CB))=(1.5)/(1.7)=0.88`
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