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In the cubic lattice given below, the th...

In the cubic lattice given below, the three distances between the atoms `A-B, A-C`, and `A-G` are, respectively,

A

`a, sqrt2a, sqrt3a`

B

`a, sqrt3a, sqrt2a`

C

`(a)/(2), (a)/(sqrt2), (sqrt3a)/(2)`

D

`a, (sqrt3a)/(2), sqrt2a`

Text Solution

Verified by Experts

The correct Answer is:
A
i. Edge length `= AB = AD = BC = CD = a`
ii. AC `= sqrt((AB^(2)) + (BC)^(2)) = sqrt((a^(2)) + a^(2)) = sqrt(2)a`
iii. AG `= sqrt((AC^(2)) + (CG)^(2)) = sqrt(2a^(2) + a^(2)) = sqrt(3)a`
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CENGAGE CHEMISTRY ENGLISH-SOLID STATE-Exercises (Single Correct)
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  2. A metal crystallizes in bcc lattice. The percent fraction of edge leng...

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  3. In the cubic lattice given below, the three distances between the atom...

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  4. In body-centred cubic lattice given below, the three disntances AB, AC...

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  5. Two ionic solids AB and CB crystallize in the same lattice. If r(A^(o+...

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  6. A molecule A(2)B (Mw = 166.4) occupies triclinic lattice with a = 5 Å,...

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  7. Silicon dopped with group 13 and group 15 member element is, repective...

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  8. Na and Mg crystallize in bcc- and fcc-type crystals, respectively, the...

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  9. The electrical conductivity of semiconductor is

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  10. Pure silicon and germanium behave as

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  11. A solid has a structure in which W atoms are located at the corners of...

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  12. Which of the following is a ferroelectric compound?

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  13. The intermetallic compound LiAg crystallizes in cubic lattice in which...

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  14. The edge length of a face-centred cubic unit cell is 508 p m. If the r...

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  15. In the crystals of which of the following ionic compounds would you ex...

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  16. Schottky defect is observed in crystals when

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  17. How many kinds of space lattices are possible in a crystal?

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  18. Potassium crystallizes with a

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  19. A compound formed by elements A and B crystallizes in the cubic arrang...

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  20. The number of unit cells in 58.5 g of NaCl is nearly :

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