Two ionic solids AB and CD crystallize in the same lattice-If rA-rB- and rC-rB- are 0-50 and 0-70 respectively- then the ratio of edge length of AB and CD is -

The correct option is C 0.88 The ratio of edge length of AB and CD is #160; =√(r_A^+r_B^ /r_C^+r_B^ )= √(0.5/0.7) = √(0.72) = 0.88 ...

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Byju's Answer

Standard XII

Physics

New Capacitance in Dielectric

Two ionic sol...

Question

Two ionic solids AB and CD crystallize in the same lattice.
If $\frac{r_{A^{+}}}{r_{B^{-}}}$ and $\frac{r_{C^{+}}}{r_{B^{-}}}$ are $0.50$ and $0.70$ respectively, then the ratio of edge length of AB and CD is :

0.68

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0.78

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0.88

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0.98

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Solution

The correct option is C $0.88$
The ratio of edge length of AB and CD is
$= \sqrt{\frac{\frac{r_{A^{+}}}{r_{B^{-}}}}{\frac{r_{C^{+}}}{r_{B^{-}}}}} = \sqrt{\frac{0.5}{0.7}} = \sqrt{0.72} = 0.88$

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Two ionic solids AB and CD crystallize in the same lattice.If rA+rB− and rC+rB− are 0.50 and 0.70 respectively, then the ratio of edge length of AB and CD is :

The correct option is C 0.88The ratio of edge length of AB and CD is=    ⎷rA+rB−rC+rB−=√0.50.7=√0.72=0.88

Two ionic solids AB and CD crystallize in the same lattice.
If $\frac{r_{A^{+}}}{r_{B^{-}}}$ and $\frac{r_{C^{+}}}{r_{B^{-}}}$ are $0.50$ and $0.70$ respectively, then the ratio of edge length of AB and CD is :

The correct option is C $0.88$
The ratio of edge length of AB and CD is
$= \sqrt{\frac{\frac{r_{A^{+}}}{r_{B^{-}}}}{\frac{r_{C^{+}}}{r_{B^{-}}}}} = \sqrt{\frac{0.5}{0.7}} = \sqrt{0.72} = 0.88$