Match the type of packing given in Column I with the items given in Column II.

$\begin{matrix} C o l u m n l & C o l u m n l l (A) & S q u a r e c l o s e p a c k i n g i n t w o d i m e n s i o n s & (i) & T r i a n g u l a r v o i d s (B) & H e x a g o n a l c l o s e p a c k i n g i n t w o d i m e n s i o n s & (i i) & P a t t e r n o f s p h e r e s i s r e p e a t e d i n e v e r y f o u r t h l a y e r (C) & H e x a g o n a l c l o s e p a c k i n g i n t h r e e d i m e n s i o n s & (i i i) & C o o r d i n a t i o n n u m b e r 4 (D) & C u b i c c l o s e p a c k i n g i n t h r e e d i m e n s i o n s & (i v) & P a t t e r n o f a s p h e r e s i s r e p e a t e d i n a l t e r n a t e l a y e r s \end{matrix}$

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Solution

Option (A)

In square close packing in two dimensions, each sphere has a coordination number of $4$ .

Hence, (A) → (iii)

Option (B)

In hexagonal close packing in two dimensions, each sphere has a coordination number of $6$ and triangular voids are created.

Hence, (B) → (i)

Option (C)
In hexagonal close packing in three dimensions, there is the repetition of the pattern of the spheres in alternate layers to form an $A B A B$ .. type pattern.

Hence, (C) → (iv)
Option (D)

Cubic close packing in three dimensions has the repetition of the pattern of spheres in every fourth layer. Thus, it frms an $A B C A B C$ … kind of pattern.

Hence, (D) → (ii)

$\begin{matrix} C o l u m n l & C o l u m n l l (A) & S q u a r e c l o s e p a c k i n g i n t w o d i m e n s i o n s & (i) & C o o r d i n a t i o n n u m b e r 4 (B) & H e x a g o n a l c l o s e p a c k i n g i n t w o d i m e n s i o n s & (i i) & T r i a n g u l a r v o i d s (C) & H e x a g o n a l c l o s e p a c k i n g i n t h r e e d i m e n s i o n s & (i i i) & P a t t e r n o f s p h e r e s i s r e p e a t e d i n a l t e r n a t e l a y e r (D) & C u b i c c l o s e p a c k i n g i n t h r e e d i m e n s i o n s & (i v) & P a t t e r n o f a s p h e r e s i s r e p e a t e d i n e v e r y f o u r t h l a y e r s \end{matrix}$

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Similar questions

Match the types of packing given in Column I with the items given in Column II.

$\begin{matrix} C o l u m n I & C o l u m n I I A . S q u a r e c l o s e p a c k i n g i n t w o & 1. T r i a n g u l a r v o i d s d i m e n s i o n s B . H e x a g o n a l c l o s e p a c k i n g i n t w o & 2. P a t t e r n o f s p h e r e s i s r e p e a t e d d i m e n s i o n s & i n e v e r y f o u r t h l a y e r C . H e x a g o n a l c l o s e p a c k i n g i n & 3. C o o r d i n a t i o n n u m b e r = 4 t h r e e d i m e n s i o n s D . C u b i c c l o s e p a c k i n g i n t h r e e & 4. P a t t e r n o f s p h e r e i s r e p e a t e d i n d i m e n s i o n s & a l t e r n a t e l a y e r s \end{matrix}$

Which of the following statement is not true about the hexagonal close packing ?

(a) The coordination number is 12

(b) It has 74% packing efficiency

(d) In this arrangement spheres of the fourth layer are exactly aligned with those of the first layer

Q. Match the types of packing given in column I with the items given in column II.

	Column I		Column II
(i)	Square close packing in two dimension	(p)	Triangular voids
(ii)	Hexagonal close packing in two dimensions	(q)	Pattern of spheres is repeated in every fourth layer
(iii)	Hexagonal close packing in three dimension	(r)	Coordination number=4
(iv)	Cubic close packing in three dimension	(s)	Pattern of spheres is repeated in alternate layers

Q. Assertion: In hexagonal close packing, voids are between three touching spheres whose centres lie at the corners of an equilateral triangle.
Reason: In hexagonal close packing, voids are called square voids.

In the first layer of 2- dimensional packing ,what is the basic repeating unit in the close packing?

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