1
JEE Advanced 2023 Paper 2 Online
MCQ (More than One Correct Answer)
+4
-2
Atoms of metals $\mathrm{x}, \mathrm{y}$, and $\mathrm{z}$ form face-centred cubic (fcc) unit cell of edge length $\mathrm{L}_{\mathrm{x}}$, body-centred cubic (bcc) unit cell of edge length $\mathrm{L}_y$, and simple cubic unit cell of edge length $\mathrm{L}_z$, respectively.

If $\mathrm{r}_{\mathrm{z}}=\frac{\sqrt{3}}{2} r_{\mathrm{y}} ; \mathrm{r}_{\mathrm{y}}=\frac{8}{\sqrt{3}} \mathrm{r}_{\mathrm{x}} ; M_{\mathrm{z}}=\frac{3}{2} M_{\mathrm{y}}$ and $M_{\mathrm{z}}=3 M_{\mathrm{x}}$, then the correct statement(s) is(are) :

[Given: $M_x, M_y$, and $M_z$ are molar masses of metals $x, y$, and $z$, respectively.
$\mathrm{r}_{\mathrm{x}}, \mathrm{r}_{\mathrm{y}}$, and $\mathrm{r}_{\mathrm{z}}$ are atomic radii of metals $\mathrm{x}, \mathrm{y}$, and $\mathrm{z}$, respectively.]
A
Packing efficiency of unit cell of $x>$ Packing efficiency of unit cell of $y>$ Packing efficiency of unit cell of $z$
B
$\mathrm{L}_{\mathrm{y}}>\mathrm{L}_{\mathrm{z}}$
C
$\mathrm{L}_{\mathrm{x}}>\mathrm{L}_{\mathrm{y}}$
D
Density of $x>$ Density of $y$
2
JEE Advanced 2020 Paper 1 Offline
MCQ (More than One Correct Answer)
+4
-2
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 smaller ionic radius. Choose the correct statement(s).

A
The empirical formula of the compound is MX.
B
The cation M and anion X have different coordination geometries.
C
The ratio of M$$-$$X bond length of the cubic unit cell edge length is 0.866.
D
The ratio of the ionic radii of cation M to anion X is 0.414.
3
JEE Advanced 2016 Paper 2 Offline
MCQ (More than One Correct Answer)
+4
-2
The CORRECT statement(s) for cubic close packed (ccp) three dimensional structure is (are) :
A
The number of the nearest neighbours of an atom present in the topmost layer is 12
B
The efficiency of an atom packing is 74%
C
The number of octahedral and tetrahedral voids per atom are 1 and 2, respectively
D
The unit cell edge length is $$2 \sqrt 2$$ times the radius of the atom
4
JEE Advanced 2015 Paper 1 Offline
MCQ (More than One Correct Answer)
+4
-2
If the unit cell of a mineral has cubic close packed (ccp) array of oxygen atoms with m fraction of octahedral holes occupied by aluminium ions and n fraction of tetrahedral holes occupied by magnesium ions, m and n, respectively, are
A
1/2, 1/8
B
1, 1/4
C
1/2, 1/2
D
1/4, 1/8
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