Q3 / 60 · JEE Advanced 2013 (Paper 1) · Chemistry

The arrangement of X^- ions around A⁺ ion in solid AX is given in the figure (not drawn to scale). If the radius of X^- is 250 pm, the radius of A⁺ is

Correct answer
A
104 pm
B
125 pm
C
183 pm
D
57 pm

Solution

A⁺ cation is filled in octahedral hole generated by X^- anion
i.e.,

\frac{r_{A^{+}}}{r_{X^{-}}} = 0.414

r_{A^{+}} = 0.414 \times 250 = 103.5 pm

\approx 104 pm

Hence, the correct answer is option: 'A'.

More Solid State Questions

Atom X occupies the fcc lattice sites as well as alternate tetrahedral voids of the same lattice. The packing efficiency (in % ) of the resu2022 (Paper 2)Crystal Structure of Solids
Match the specified conditions in solids listed in Column I with their properties in Column II. Indicate your answer by darkening the approp2007 (Paper 2)Crystal Structure of Solids
The density (in ) of the metal which forms a cubic close packed (ccp) lattice with an axial distance (edge length) equal to 400 pm is . Use:2025 (Paper 2)Cubic system
Atoms of metals x , y and z form face-centred cubic (fcc) unit cell of edge length L x , body-centred cubic (bcc) unit cell of edge length L2023 (Paper 2)Cubic system
For the given close packed structure of a salt made of cation X and anion Y shown below (ions of only one face are shown for clarity), the p2021 (Paper 1)Cubic system
The cubic unit cell structure of a compound containing cation M and anion X is shown below. When compared to the anion, the cation has small2020 (Paper 1)Cubic system