JEE Main · 2020 · 05 Sep 2020 · Shift 2 · Solid State

WhatsApp Email

An element crystallises in a face-centred cubic (fcc) unit cell with cell edge a. The distance between the centres of two nearest octahedral voids in the crystal lattice is:

(A) $\frac{a}{2}$
(B) $2 a$
(C)a
(D) $\frac{a}{2}$ ✓ Correct

Answer: (D)

Solution

In a face-centred cubic lattice the octahedral voids lie at the body centre and at the midpoints of the edges. The nearest pair

-

the body-centre void and an adjacent edge-centre void, equivalently two neighbouring edge-centre voids

-

are separated by half of a face diagonal, which is

\frac{2 a}{2} = \frac{a}{2}

JEE Main · 2020 · 05 Sep 2020 · Shift 2 · Single correct option

Practise more: all JEE Main PYQs on Solid State →

More JEE Main questions on Solid State

Which of the following material is not a semiconductor.
JEE Main 2024View solution →
The values of conductivity of some materials at $298.15 K^{- 1} Sm^{- 1}$ are $2.1 \times 1 0^{3}$ , $1.0 \times 1 0^{- 16}$ , $1.2 \times 10$ , $3.91$ , $1.5 \times 1 0^{- 2}$ , $1 \times 1 0^{- 7}$ , $1.0 \times 1 0^{3}$ . The number of conductors among the ma …
JEE Main 2024View solution →
A compound is formed by two elements X and Y. The element Y forms cubic close packed arrangement and those of element X occupy one third of the tetrahedral voids. What is the formula of the compound?
JEE Main 2023View solution →
Number of crystal systems from the following where body centred unit cell can be found, is.....

Cubic, tetragonal, orthorhombic, hexagonal, rhombohedral, monoclinic, triclinic.
JEE Main 2023View solution →
The correct relationship between unit cell edge length 'a' and radius of sphere 'r' for face-centred and body centred cubic structures respectively are:
JEE Main 2023View solution →
An atomic substance A of molar mass $12 g mol^{- 1}$ has a cubic crystal structure with edge length of 300 pm . The no. of atoms present in one unit cell of A is ____. (Nearest integer)

Given the density of A is $3.0 g mL^{- 1}$ and …
JEE Main 2023View solution →