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Crystals MCQ Level – 1 - Physics MCQ


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10 Questions MCQ Test - Crystals MCQ Level – 1

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Crystals MCQ Level – 1 - Question 1

Which of the following has bcc structure?

Detailed Solution for Crystals MCQ Level – 1 - Question 1


CsCl shows a body centred cubic lattice with a coordination number 8 for each ion. 
 

Crystals MCQ Level – 1 - Question 2

If  is wave vector of incident X-ray and be the reciprocal lattice vector then condition for Bragg reflection is given by :

Detailed Solution for Crystals MCQ Level – 1 - Question 2

Correct Answer :- b

Explanation : Bragg reflection or diffraction occurs when light waves are incident on an ultrasonic wave with a comparable wavelength. The light is reflected in a specular fashion by the ultrasonic grating, and undergoes constructive interference in accordance with Bragg's law.

 Let  be the scattered wave vector, then from Ewald construction :

K' = K - G....(i)

Since, for elastic scattering, there will be no change in the magnitude of the vector i.e.

|K| = K' = 2pi/λ

Now squaring (i),

K2 = K2 + G2 - 2K . G

G2 = 2K . G

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Crystals MCQ Level – 1 - Question 3

Which of the following lattices has the least packing fraction?

Detailed Solution for Crystals MCQ Level – 1 - Question 3

packing fraction of simple cubic = 52% packing fraction of bee = 68%
packing fraction of fee = 74%
packing fraction of diamond = 34%
The correct answer is: diamond

Crystals MCQ Level – 1 - Question 4

The radii of Cs and Cl are r1 and r2 respectively. Which of the following gives the lattice constant of CsCI if it is crystalized in bcc structure :

Detailed Solution for Crystals MCQ Level – 1 - Question 4

For bcc structure ,


 The correct answer is: 

Crystals MCQ Level – 1 - Question 5

A reciprocal lattice is characterized by following primitive vectors

Detailed Solution for Crystals MCQ Level – 1 - Question 5


Hence, lattice is bcc with edge π
The correct answer is: bcc with cube edge π

Crystals MCQ Level – 1 - Question 6

What is the reciprocal lattice to simple cubic lattice?

Detailed Solution for Crystals MCQ Level – 1 - Question 6

Primitive translation Vectors of simple cubic lattice may be written as :

Then primitive translation vector of reciprocal lattice is



Hence, the reciprocal lattice is itself a simple cubic lattice with lattice constant 

The correct answer is: simple cubic

Crystals MCQ Level – 1 - Question 7

A body centred cubic lattice has edge a. Edge of its primitive cells will be :

Detailed Solution for Crystals MCQ Level – 1 - Question 7


from figure, AB = a

The correct answer is:

Crystals MCQ Level – 1 - Question 8

The primitive translation vectors of the fcc lattice are

The volume of the primitive cell of reciprocal lattice is : 

Detailed Solution for Crystals MCQ Level – 1 - Question 8

The correct option is D

The primitive translation vector of the reciprocal lattice to the above lattice be calculated as :

b1=(2π/a)(-i+j+k);

b2=(2π/a)(i-j+k);

b3=(2π/a)(i+j-k);

volume of the reciprocal lattice is:

=(2π/a)3[(-i+j+k) (i-j+k)]

=4(2π/a)3

The correct answer is, 4(2π/a)3

Crystals MCQ Level – 1 - Question 9

The positions of number of nearest neighbours in a unit cell of bcc structure is given by:

Detailed Solution for Crystals MCQ Level – 1 - Question 9


Nearest neighbour to an atom (say at origin) is the atom present is the centre of the
at point P and the position of P can be =

The correct answer is: = 

Crystals MCQ Level – 1 - Question 10

What is the second nearest neighbour distance in a face centered cubic whose conventional unit cell parameter is a?

Detailed Solution for Crystals MCQ Level – 1 - Question 10


Here AC is the nearest distance while AB or AD forms the nearest neighbour distance which is equal to ' a '.
The correct answer is: a

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