If a is the edge length of unit cell of sodium chloride, the distance between the two nearest $N a^{+}$ ions is

$\sqrt{2} a$

$\sqrt{3} a$

$\frac{a}{\sqrt{2}}$

Video Solution

Text Solution

Verified by Experts

The correct Answer is:D

The distannce betweent wo nearest $N a^{+}$ in sodium chloride unit cell is half of the face diagonal of the cube.
$\frac{\sqrt{2 a}}{2} = \frac{a}{\sqrt{2}}$

Updated on:21/07/2023

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Knowledge Check

Question 1 - Select One
If a is the edge length of unit cell of sodium chloride, the distance between the nearest $N a^{+} and C l^{-}$ ions is
Aa
B $\sqrt{2} a$
C $\frac{a}{2}$
D $\sqrt{3} a$
Question 1 - Select One
If the edge-length of the unit cell of sodium chloride is 600 pm, and the ionic radius of $C I^{-}$ ion is 190 pm, then the ionic radius of $N a^{+}$ ion is
A310 pm
B110 pm
C220 pm
DNone of the above
Question 1 - Select One
If the edge-length of the unit cell of sodium chloride is 600 pm, and the ionic radius of $C I^{-}$ ion is 190 pm, then the ionic radius of $N a^{+}$ ion is
A310 pm
B110 pm
C220 pm
DNone
Question 1 - Select One
If the distance between $N a^{+}$ and $C l^{-}$ ions in NaCl crystals is 265 pm, then edge length of the unit cell will be ?
A265 pm
B530 pm
C795 pm
D132.5 pm
Question 1 - Select One
In a F.C.C arrangement edge length of unit cell is $a$ , which of the following is correct distance between two nearest tetrahedral voids?
A $\sqrt{2} a$
B $\frac{a}{\sqrt{2}}$
C $a$
D $\frac{a}{2}$
Question 1 - Select One
A metal crystallize in a body centered cubic lattice (bcc) with the edge of the unit cell $5.2 Å$ . The distance between the two nearest neighour is
A $10.4 Å$
B $4.5 Å$
C $5.2 Å$
D $9.0 Å$
Question 1 - Select One
The edge length of face centred cubic unit cell is 508 pm. The nearest distance between two atoms is :
A360 pm
B288 pm
C618 pm
D398 pm
Question 1 - Select One
AB crystal has CsCl type structure. If edge length of unit cell is 100 pm then nearest distance between cation and anion is :-
A50 pm
B100 pm
C173.2 pm
D86.6 pm
Question 1 - Select One
How many formula units are there in the unit cell of sodium chloride ?
A2
B4
C6
D8

If a is the edge length of unit cell of sodium chloride, the distance between the two nearest $N a^{+}$ ions is

The correct Answer is:D

The distannce betweent wo nearest $N a^{+}$ in sodium chloride unit cell is half of the face diagonal of the cube.
$\frac{\sqrt{2 a}}{2} = \frac{a}{\sqrt{2}}$

Related Playlists

Knowledge Check

If a is the edge length of unit cell of sodium chloride, the distance between the nearest $N a^{+} and C l^{-}$ ions is

If the edge-length of the unit cell of sodium chloride is 600 pm, and the ionic radius of $C I^{-}$ ion is 190 pm, then the ionic radius of $N a^{+}$ ion is

If the edge-length of the unit cell of sodium chloride is 600 pm, and the ionic radius of $C I^{-}$ ion is 190 pm, then the ionic radius of $N a^{+}$ ion is

If the distance between $N a^{+}$ and $C l^{-}$ ions in NaCl crystals is 265 pm, then edge length of the unit cell will be ?

In a F.C.C arrangement edge length of unit cell is $a$ , which of the following is correct distance between two nearest tetrahedral voids?

A metal crystallize in a body centered cubic lattice (bcc) with the edge of the unit cell $5.2 Å$ . The distance between the two nearest neighour is

The edge length of face centred cubic unit cell is 508 pm. The nearest distance between two atoms is :

AB crystal has CsCl type structure. If edge length of unit cell is 100 pm then nearest distance between cation and anion is :-

How many formula units are there in the unit cell of sodium chloride ?

Similar Questions

MARVEL PUBLICATION-SOLID STATE-TEST YOUR GRASP

If a is the edge length of unit cell of sodium chloride, the distance between the two nearest Na+ ions is

The correct Answer is:D

The distannce betweent wo nearest Na+ in sodium chloride unit cell is half of the face diagonal of the cube. √2a2=a√2

Related Playlists

Knowledge Check

If a is the edge length of unit cell of sodium chloride, the distance between the nearest Na+andCl− ions is

If the edge-length of the unit cell of sodium chloride is 600 pm, and the ionic radius of CI− ion is 190 pm, then the ionic radius of Na+ ion is

If the edge-length of the unit cell of sodium chloride is 600 pm, and the ionic radius of CI− ion is 190 pm, then the ionic radius of Na+ ion is

If the distance between Na+ and Cl− ions in NaCl crystals is 265 pm, then edge length of the unit cell will be ?

In a F.C.C arrangement edge length of unit cell is a, which of the following is correct distance between two nearest tetrahedral voids?

A metal crystallize in a body centered cubic lattice (bcc) with the edge of the unit cell 5.2Å. The distance between the two nearest neighour is

The edge length of face centred cubic unit cell is 508 pm. The nearest distance between two atoms is :

AB crystal has CsCl type structure. If edge length of unit cell is 100 pm then nearest distance between cation and anion is :-

How many formula units are there in the unit cell of sodium chloride ?

Similar Questions

MARVEL PUBLICATION-SOLID STATE-TEST YOUR GRASP

If a is the edge length of unit cell of sodium chloride, the distance between the two nearest $N a^{+}$ ions is

The distannce betweent wo nearest $N a^{+}$ in sodium chloride unit cell is half of the face diagonal of the cube.
$\frac{\sqrt{2 a}}{2} = \frac{a}{\sqrt{2}}$

If a is the edge length of unit cell of sodium chloride, the distance between the nearest $N a^{+} and C l^{-}$ ions is

If the edge-length of the unit cell of sodium chloride is 600 pm, and the ionic radius of $C I^{-}$ ion is 190 pm, then the ionic radius of $N a^{+}$ ion is

If the edge-length of the unit cell of sodium chloride is 600 pm, and the ionic radius of $C I^{-}$ ion is 190 pm, then the ionic radius of $N a^{+}$ ion is

If the distance between $N a^{+}$ and $C l^{-}$ ions in NaCl crystals is 265 pm, then edge length of the unit cell will be ?

In a F.C.C arrangement edge length of unit cell is $a$ , which of the following is correct distance between two nearest tetrahedral voids?

A metal crystallize in a body centered cubic lattice (bcc) with the edge of the unit cell $5.2 Å$ . The distance between the two nearest neighour is