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A solid is made of two elements X and Y....

A solid is made of two elements X and Y. Atoms X are in fcc arrangement and Y atoms occupy all the octahedral sites and alternate tetrahedral sites. What is the formula of compound ?

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Atoms of X forming fcc lattice means they occurs 8 corners and 6 face centres hence number of atoms =4
Tetrahedral sites =8 Number of Y atoms =4
Octahedral sites =4 Number of Y atoms =4
`therefore` Total number of Y atoms =8
`therefore` X :Y
4:8 or 1:2 . Hence formula of compound is `XY_2`.
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AAKASH INSTITUTE-THE SOLID STATE -Assignment (SECTION - D) (ASSERTION-REASON TYPE QUESTION)
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  2. A : In NaCl structure, the interionic distance is a/2 (a = Unit cell e...

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  3. A : The co - ordination number of CaF(2) is 8 : 4. R : Ca^(2+) ion...

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  4. A : The number of spheres are equal to the number of octahedral voids ...

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  5. A : In Schottky defect, density of crystal decreases. R : Equal nu...

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  6. A : If a tetrad axis is passed through the unit cell of NaCl and all i...

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  7. A : A particle at the corner of CCP unit cell has (1)/(8)th of its con...

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  8. A : Glass belongs to the category of covalent network solid. R : U...

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  9. A : NaCl shows Schottky defect at room temperature. R : NaCl shows...

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  10. A : Fe(3)O(4) is ferrimagnetic at room temperature but becomes paramag...

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  11. A : In molecular solids the lattice points are occupied by the atoms o...

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  12. A : Silicon is insulator at 0 K but semiconductor at room temperature....

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  13. A : Amorphous solids are isotropic. R : Amorphous solids are not rig...

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  14. A : In NaCl coordination number of Cl^(-) ion is 6 but in CsCl coordin...

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  15. A : All crystals of same substance possess the same elements of symmet...

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  16. A : AgBr shows both Schottky and Frenkel defect. R : AgBr is a cry...

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  17. A : Number of carbon atoms per unit cell in diamond is 8. R : The ...

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  18. A : The coordination number of ionic compound depends upon radius rati...

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  19. A : Number of rectangular plane in a cubic crystal is 3. R : Recta...

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  20. A : ccp is more efficient than hcp. R : Packing fraction is differe...

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  21. A : Coordination number of both Na^(+) and Cl^(-) NaCl is 6. R : Se...

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