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This mock test of Crystals NAT Level – 1 for IIT JAM helps you for every IIT JAM entrance exam.
This contains 10 Multiple Choice Questions for IIT JAM Crystals NAT Level – 1 (mcq) to study with solutions a complete question bank.
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*Answer can only contain numeric values

QUESTION: 1

A crystal belongs to a face cubic lattice with four atoms in the unit cell. The size of crystal is 1*cm* and its unit cell dimension is 1*nm*.Then the number of atoms in the crystal is in unit of 10^{21} is?

Solution:

Crystal size = 1 cm

Size of unit cell = 1 nm

For fee structure, number of atoms per unit cell = 4

Number of atoms = 4x10^{21}

The correct answer is: 4

*Answer can only contain numeric values

QUESTION: 2

Metallic monovalent sodium crystallizes in bcc structures. If the length of unit cell is 4 x 10^{-8} cm. The concentration of conduction electrons in metallic sodium is x * 10^{22 }cm^{-3} . Find x?

Solution:

Sodium has one conduction electron and bcc structure, for bcc structure, number of atoms in unit cell = 2.

Number of conduction electrons = 2x1 =2.

Concentration

The correct answer is: 3.125

*Answer can only contain numeric values

QUESTION: 3

Atomic radius of copper (fcc) is 1.28**Â** , then density of copper is (kg/m^{3} )

Solution:

The correct answer is: 8260

*Answer can only contain numeric values

QUESTION: 4

Nearest neighbour distance in **Na** crystal is 1 . 8 3 Density of electrons in **Na** crystal in m^{-3} is :

Solution:

**Na** has bcc structure.

Nearest neighbour distance

The correct answer is: 0.212

*Answer can only contain numeric values

QUESTION: 5

Molecular weight of KCI (fcc) is 74.6amu and its density is 1.99 x 10^{3} kg/m^{3} . The lattice constant of **KCI** in units of is :

Solution:

The correct answer is: 6.3

*Answer can only contain numeric values

QUESTION: 6

Smallest angle of diffraction for an X-ray beam of wavelength 0.71 is (in degrees).

Solution:

For [1 1 1] Plane, d=a/√(1^{2}+1^{2}+1^{2})=a/√3

2dsinθ=λ

For smallest angle,** **θ=sin^{-1}(λ/2d)

θ=sin^{-1}(λ/2d)

=sin^{-1}(λ/(2a/√3)=sin^{-1}(√3x0.71/2x6.3)

=> θ=5.6^{o}

So the correct answer is 5.6.

*Answer can only contain numeric values

QUESTION: 7

The value of lattice constant **a** for a fcc having in density 650 kg/m^{3} and atomic weight 60.2 in is :

Solution:

Lattice constant

a = 4.

The correct answer is: 4

*Answer can only contain numeric values

QUESTION: 8

If the angle between direction of X-ray (incident) and diffracted one is 16°, the angle of incidence in degrees will be :

Solution:

⇒ 2θ = 180°

⇒ θ = 82°

The correct answer is: 82

*Answer can only contain numeric values

QUESTION: 9

If 0.28nm is spacing between the nearest neighbouring ions in **NaCI **lattice, the unit cell parameter in is?

Solution:

r - 0.28 nm

⇒ 2r = 0.56 nm

= 5.6

The correct answer is: 5.6

*Answer can only contain numeric values

QUESTION: 10

If the miller indices for a plane is [1 1 1] and 2 be the lattice constant, then what is the area of the plane ?

Solution:

Area of the plane=a√h^{2}+k^{2}+l^{2}

=>2√(1^{2}+1^{2}+1^{2})=3.464

The current answer: 3.464

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