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This mock test of Crystals MCQ Level – 2 for IIT JAM helps you for every IIT JAM entrance exam.
This contains 10 Multiple Choice Questions for IIT JAM Crystals MCQ Level – 2 (mcq) to study with solutions a complete question bank.
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QUESTION: 1

What is the second nearest neighbour distance in bcc crystal whose conventional unit cell parameter is a?

Solution:

In a bcc structure, for any atom at the corner of the lattice, nearest neighbour is at the centre of the lattice which is at a distance of The second nearest neighbour is at the adjacent corners of the lattice at a distance of 'a'.

The correct answer is: a

QUESTION: 2

The number of atoms per unit area of the plane [0 1 0] of a simple cubic crystal is :

Solution:

[0 1 0] is the miller indices of the plane, hence, the intercept will be the plane is in x-z plane passing through y = 1.

Now number of atoms in the plane for simple cubic lattice is =

⇒ Number of atoms per unit area of plane [0 1 0] of simple cubic lattice is,

(since, a = 2r).

The correct answer is:

QUESTION: 3

If a two - dimensional lattice has the basic vector hen the vectors of the reciprocal lattice are respectively;

Solution:

The vectors of reciprocal lattice are

The correct answer is:

QUESTION: 4

In crystallographic notations, the vector is the cubic cell shown is the figure is :

Solution:

Coordinates of pointis , hence, in crystal notation the plane is [2 2 1]

The correct answer is: [2 2 1]

QUESTION: 5

[3 2 6] are the miller indices of a plane, the intercept mode by the plane on the 3 crystallographic axes are:

Solution:

Miller indices are (3, 2, 6)

Hence, crystallographic axis are

The correct answer is: (2a, 3b, c)

QUESTION: 6

Consider the atomic packing factor (APF) of the following crystal structures :

P. Simple cubic

Q. Body centred cubic

R. Face centred cubic

S. Diamond T. Hexagonal close packed

Q. Which two of the above structure have equal APF?

Solution:

simple cubic → 52%, bcc → 68%, fcc → 74%, diamond → 34%, hcp 74%

The correct answer is: R and T

QUESTION: 7

If d be the space between parallel lattice planes and be reciprocal lattice vector, then which of the following relations are true?

Solution:

If is unit vector normal to the plane, then

If d is the interplanar. distance,

where is the translation vector along one of the unit axis.

Here the planes are perpendicular to this unit axis

The correct answer is:

QUESTION: 8

Volume of primitive cell of bcc structure having conventional lattice parameter a is :

Solution:

For bcc structure :

The correct answer is:

QUESTION: 9

For a NaCI crystal, the cell edge a = 0.563 nm. The smallest angle at which Bragg reflection can occur corresponds to a set of planes whose indices are :

Solution:

For θ to be small, is also small hence, is minimum and this minimum of

h =1, Ac = I = 0

The correct answer is: [1 0 0]

QUESTION: 10

For a simple cubic lattice d_{100} : d_{110 }: d_{111} is.

Solution:

The correct answer is:

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