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Test: Cubic system - JEE MCQ


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10 Questions MCQ Test - Test: Cubic system

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Test: Cubic system - Question 1

The number of atoms in 100 g of an fcc crystal with density, d = 10 g/cm3 and cell edge equal to 100pm, is equal to

Detailed Solution for Test: Cubic system - Question 1

Test: Cubic system - Question 2

In the solid state, has the same structure as that of sodium chloride. The number of oxygens surrounding each magnesium in is

Detailed Solution for Test: Cubic system - Question 2
Since has a rock salt structure. In this structure each cation is surrounded by six anions and vice versa
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Test: Cubic system - Question 3

A mineral having the formula crystallizes in ccp lattice with atoms occupying the lattice points. Pick out the correct statement of the following

Detailed Solution for Test: Cubic system - Question 3
Number of A cations per unit cell = 4 Number of B anions per unit cell must be
Number of tetrahedral voids per unit cell
Test: Cubic system - Question 4

A metal has bcc structure and the edge length of its unit cell is 3.04A. The volume of the unit cell in cm3 will be

Detailed Solution for Test: Cubic system - Question 4

Volume of unit cell = a3 = (3.04 × 10−8 cm)= 2.81 × 10−23 cm3

Test: Cubic system - Question 5
Which of the following statement is correct for fcc lattice?
Detailed Solution for Test: Cubic system - Question 5
(a) There are equal number of octahedral and tetrahedral voids in a unit cell for fcc lattice is incorrect statement. The number of octahedral and tetrahedral void in unit cell for fcc lattice is 4 and 8 respectively.
(b) The tetrahedral voids are present at the edge centers is incorrect as they are present on each body diagonal, i.e. diagonal of cubic unit cell.
(c) Octahedral voids are present at the body center and edge centers. Statement is correct.
(d) Its packing efficiency (PE) is higher than hcp lattice PE is incorrect.
The packing efficiency of hcp is and that of fcc is also . It is higher in comparison to packing efficiency of simple cube and bcc which have values 52.4 and respectively.
Test: Cubic system - Question 6

In a face centered cubic lattice atoms A are at the corner points and atoms B at the face centered points. If atom B is missing from one of the face centered points, the formula of the ionic compound is:

Detailed Solution for Test: Cubic system - Question 6

Number of atoms Number of atoms
(Since atom B is missing from one of the face centered point)
∴ Formula of ionic compound = AB5/2 = A2 B5

Test: Cubic system - Question 7

When molten zinc is converted into solid state, it acquires hcp structure. The number of nearest neighbours of will be

Detailed Solution for Test: Cubic system - Question 7

hcp is a closed packed arrangement in which the unit cell is hexagonal and coordination number is 12.

Test: Cubic system - Question 8

(at. ) crystallizes in the cubic system with a cell edge of . Its density is per Calculate the radius in of the atom.

Detailed Solution for Test: Cubic system - Question 8

,

Hence it is face centred cubic unit lattice.
Again

Test: Cubic system - Question 9
Edge length of a cube is . Its body diagonal would be
Detailed Solution for Test: Cubic system - Question 9
Body diagonal (d) of a cubic crystal of edge length is given by,
putting , we get
Test: Cubic system - Question 10
The intermetallic compound LiAg crystallizes in a cubic lattice in which both lithium and silver atoms have coordination number of eight. To what crystal class does the unit cell belong?
Detailed Solution for Test: Cubic system - Question 10
A body-centred cubic system consists of all eight corners plus one atom at the centre of cube.
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