Question

Match List-I with List-II

List-I	Crystal Structure	List-II	Property
A	FCC	III	Packing fraction \(=0.74\)
B	BCC	II	Packing fraction \(=0.68\)
C	Simple cubic	I	Packing fraction \(=0.52\)
D	HCP	IV	Ideal \(c/a = 1.633\)

 

• A. A-III, B-II, C-I, D-IV
• B. A-I, B-II, C-III, D-IV
• C. A-IV, B-III, C-II, D-I
• D. A-II, B-I, C-IV, D-III

Hint:

FCC and HCP are close packed structures with packing fraction \(0.74\).

Answer 1

The Correct Option is A

Concept:
Crystal structures have characteristic packing fractions and geometric ratios.

Step 1: FCC.
Face centered cubic structure has packing fraction: \[ 0.74 \] \[ A\rightarrow III \]

Step 2: BCC.
Body centered cubic structure has packing fraction: \[ 0.68 \] \[ B\rightarrow II \]

Step 3: Simple cubic.
Simple cubic structure has packing fraction: \[ 0.52 \] \[ C\rightarrow I \]

Step 4: HCP.
Ideal HCP structure has: \[ \frac{c}{a}=1.633 \] \[ D\rightarrow IV \] Therefore: \[ A-III,\ B-II,\ C-I,\ D-IV \] \[ \therefore \text{Correct Answer is (A)} \]