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MCQ (Previous Year Questions) -Solid State (Level 2) - JEE MCQ


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10 Questions MCQ Test - MCQ (Previous Year Questions) -Solid State (Level 2)

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MCQ (Previous Year Questions) -Solid State (Level 2) - Question 1

In hexagonal systems of crystals, a frequently encountered arrangement of atoms is described as a hexagonal prism. Here, the top and bottom of the cell are regular hexagons and three atoms are sandwiched in between them. A space-filling model of this structure, called hexagonal close-packed (HCP), is constituted of a sphere on a flat surface surrounded in the same plane by six identical spheres as closely as possible. Three spheres are then placed over the first layer so that they touch each other and represent the second layer. Each one of these three spheres touches three spheres of the bottom layer. Finally, the second layer is covered with a third layer that is identical to the bottom layer in relative position. Assume radius of every sphere to be 'r'.

The number of atoms in this HCP unit cells is                                                      [JEE 2008]

Detailed Solution for MCQ (Previous Year Questions) -Solid State (Level 2) - Question 1
1/6×12 + 1/2×2 + 3 =6 
12 corner atoms, 2 face center atoms, 3middle atoms.
MCQ (Previous Year Questions) -Solid State (Level 2) - Question 2

In hexagonal systems of crystals, a frequently encountered arrangement of atoms is described as a hexagonal prism. Here, the top and bottom of the cell are regular hexagons and three atoms are sandwiched in between them. A space-filling model of this structure, called hexagonal close-packed (HCP), is constituted of a sphere on a flat surface surrounded in the same plane by six identical spheres as closely as possible. Three spheres are then placed over the first layer so that they touch each other and represent the second layer. Each one of these three spheres touches three spheres of the bottom layer. Finally, the second layer is covered with a third layer that is identical to the bottom layer in relative position. Assume radius of every sphere to be 'r'.

 The volume of this HCP unit cell is                                                                                [JEE 2008]

Detailed Solution for MCQ (Previous Year Questions) -Solid State (Level 2) - Question 2
Height of unit cell = 4r√2/3
Base area = 6 x √3/4 (2r)2
Volume = height x base area
=24√2r^3
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MCQ (Previous Year Questions) -Solid State (Level 2) - Question 3

In hexagonal systems of crystals, a frequently encountered arrangement of atoms is described as a hexagonal prism. Here, the top and bottom of the cell are regular hexagons and three atoms are sandwiched in between them. A space-filling model of this structure, called hexagonal close-packed (HCP), is constituted of a sphere on a flat surface surrounded in the same plane by six identical spheres as closely as possible. Three spheres are then placed over the first layer so that they touch each other and represent the second layer. Each one of these three spheres touches three spheres of the bottom layer. Finally, the second layer is covered with a third layer that is identical to the bottom layer in relative position. Assume radius of every sphere to be 'r'.

The empty space in this HCP unit cell is                                                                                         [JEE 2008]

Detailed Solution for MCQ (Previous Year Questions) -Solid State (Level 2) - Question 3
Packing fraction = 74%
Empty space = 26%
MCQ (Previous Year Questions) -Solid State (Level 2) - Question 4

Which of the following FCC structure contains cations in alternate tetrahedral voids ?                                  [JEE 2005]

Detailed Solution for MCQ (Previous Year Questions) -Solid State (Level 2) - Question 4
In ZnS, Anions (S^−2) are placed in fcc manner and cations (Zn^+2) are placed in alternate tetrahedral voids.
MCQ (Previous Year Questions) -Solid State (Level 2) - Question 5

A substance AxBy crystallises in a FCC lattice in which atoms "A" occupy each corner of the cube and atoms "B" occupy the centres of each face of the cube. Identify the correct composition of the substance AxBy.                                                                              [JEE - 2002]

MCQ (Previous Year Questions) -Solid State (Level 2) - Question 6

 In a solid "AB" having NaCl structure "A" atoms occupy the corners of the cubic unit cell. If all the face-centred atoms along one of the axes are removed, then the resultant stoichiometry of the solid is                            [JEE - 2000]                                                            

MCQ (Previous Year Questions) -Solid State (Level 2) - Question 7

The coordination number of a metal crystallising in a hcp structure is                                            [JEE - 2000]

Detailed Solution for MCQ (Previous Year Questions) -Solid State (Level 2) - Question 7
In three dimensional hexagonal close packing of crystals, the two dimensional hcp layers are arranged in ABAB... pattern as shown below. The atoms in A layers are exactly above (or below) one type of the trigonal voids in B layer.

The central atom in B layer is immediately surrounded by 12 atoms i.e., 6 in layer B and 3 each in two A layers.

MCQ (Previous Year Questions) -Solid State (Level 2) - Question 8

The packing efficiency of the -dimensional square unit cell shown below is                            [JEE - 2010]

                                                           

MCQ (Previous Year Questions) -Solid State (Level 2) - Question 9

A compound MpXq has cubic close packing (ccp) arrangement of X. Its unit cell structure is shown below. The empirical formula of the compound is [JEE - 2012]

                                     

Detailed Solution for MCQ (Previous Year Questions) -Solid State (Level 2) - Question 9
Since the given is ccp then x will ocuupy all corners ,edge centres,face centres and m will occupy edge cente, body centre and x value is 6 and m value 3 finally we get mx2.
MCQ (Previous Year Questions) -Solid State (Level 2) - Question 10

The arrangement of X_ ioins around A+ ion in solid AX is given in the figure (not drawn to scale). If the radius of X_is 250 pm, the radius of A+ is                                          

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