1

### AIPMT 2014

If $a$ is the length of the side of a cube, the distance between the body centered atom and one corner atom in the cube will be
A
${2 \over {\sqrt 3 }}a$
B
${4 \over {\sqrt 3 }}a$
C
${{\sqrt 3 } \over 4}a$
D
${{\sqrt 3 } \over 2}a$

## Explanation

The distance between the body centered atom and one corner atom is ${{\sqrt 3 } \over 2}a$.
2

### NEET 2013

The number of carbon atoms per unit cell of diamond unit cell is
A
6
B
1
C
4
D
8

## Explanation

Total number of carbon atoms per unit cell

= $8 \times {1 \over 8} + 6 \times {1 \over 2} + 4$ = 8
3

### NEET 2013

A metal has a fcc lattice. The edge length of the unit cell is 404 pm. The density of the metal is 2.72 g cm$-$3. The molar mass of the metal is
(NA Avogadro's constant = 6.02 $\times$ 1023 mol$-$1)
A
27 g mol$-$1
B
20 g mol$-$1
C
40 g mol$-$1
D
30 g mol$-$1

## Explanation

for fcc Z = 4.

d = ${{ZM} \over {{N_A}{a^3}}}$

$\Rightarrow$ M = ${{d{N_A}{a^3}} \over Z}$

= ${{2.72 \times 6.023 \times {{10}^{23}} \times {{\left( {404 \times {{10}^{ - 10}}} \right)}^3}} \over 4}$

= 27 g mol–1
4

### AIPMT 2012 Prelims

The number of octahedral void(s) per atom present in a cubic close-packed structure is
A
1
B
3
C
2
D
4

## Explanation

Number of octahedral voids is same as number of atoms.