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Solid State & Group Theory - GATE Chemistry MCQ


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20 Questions MCQ Test GATE Chemistry Mock Test Series - Solid State & Group Theory

Solid State & Group Theory for GATE Chemistry 2024 is part of GATE Chemistry Mock Test Series preparation. The Solid State & Group Theory questions and answers have been prepared according to the GATE Chemistry exam syllabus.The Solid State & Group Theory MCQs are made for GATE Chemistry 2024 Exam. Find important definitions, questions, notes, meanings, examples, exercises, MCQs and online tests for Solid State & Group Theory below.
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Solid State & Group Theory - Question 1

Nickel forms a face centered cubic unit cell with a = 351.8 pm. The value of crystallographic radius of a nickel atom is

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Solid State & Group Theory - Question 2

The unit cell of an element of atomic mass 96 and density 10.3 g/cm–3 is a cube with edge length of 314 pm the structure of the crystal lattice is

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 The structure of solid should be bcc.

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*Answer can only contain numeric values
Solid State & Group Theory - Question 3

Lithium boron hydride crystallizes in an orthorhombic system with 4  molecules per unit cell. The unit cell dimensions are  If the molar mass is 21.76. The density of crystal is ______g/cm-3. (Round off to two decimal places).x1


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Solid State & Group Theory - Question 4

A metal crystallizes in simple cubic unit cell. The length of the edge of the unit cell 'a' is 6.22 The radius of each atom of the metal is ______() (Round of to two decimal places).


Detailed Solution for Solid State & Group Theory - Question 4

For simple cubic structure

Solid State & Group Theory - Question 5

In n-type semi conductors the correct statement is/are
(i) The fermi energy level lies in between donor band and valence band
(ii) The fermi energy level lies in donor band and conduction band
(iii) The fermi energy increases with increasing temperature
(iv) The fermi energy decreases with increasing temperature

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Solid State & Group Theory - Question 6

The diamond unit cell

can be representd as

Detailed Solution for Solid State & Group Theory - Question 6

Corners are represented by 0, 1.
Face centres (left, right, top, bottom) by (½)
Face centres front and back by 0, 1
Td Vd centres by 1/4 and 3/4.

Solid State & Group Theory - Question 7

In an ionic oxide, oxide ions are arranged in hcp array and positive ion occupy two thirds of octahedral void simplest formula of metal M is

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Solid State & Group Theory - Question 8

In case of Fullerene the correct relation between number of faces (F), number of vertices (V) and number of edges (E) is

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F + V = E + 2
Correct option is (d)

Solid State & Group Theory - Question 9

The point group of Admantane is

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Tetrahedral (Td)
Correct option is (d)

Solid State & Group Theory - Question 10

The point group of Bicyclo 1, 1, 1-pentane is

Detailed Solution for Solid State & Group Theory - Question 10

Point group = D3h

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Solid State & Group Theory - Question 11

The first order reflection of a beam of X-rays from a given crystal occur at 15o. The 3rd order reflection will occurs at angle of _____ degree. (Round off to two decimal places).


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Solid State & Group Theory - Question 12

A metal (atomic weight = 26.08), crystallizes in the cubic system with  Its density is 2.7g/cm-3. The radius of the atom of this metal will be _____ (Round off to two decimal places).


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Solid State & Group Theory - Question 13

The distance between the body-centered atom and one corner atom in sodium a =0.424 nm is ____nm. (Round off to two decimal places).


Detailed Solution for Solid State & Group Theory - Question 13

The atom at the center of the cube is supposed to touch the two nearest corner atoms. The longest diagonal at which all these three atoms lie will be length 4r.
Therefore, distance between center atom and the corner atom = 2r

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Solid State & Group Theory - Question 14

The ionic radii of Cs+ and Cl-1 ions are 1.69  and 1.81  respectively. The co-ordinate number of Cs+ is _____(answer should be an integer).


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As the radius ratio lies between 0.732 and 1.0 the co-ordinate number of Cs+ is 8.

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Solid State & Group Theory - Question 15

 

For primitive cubic crystal with a = 3 x 1010m, the smallest diffraction angle θ, for (110) plane for  is ______(Round off to two decimal places).


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Solid State & Group Theory - Question 16

The first order diffraction of X-rays from a ceratin set of crystal planes occurs at an angle of 11.8º from the planes, if the planes are 0.281 nm a part the wavelength of X-rays is

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Solid State & Group Theory - Question 17

Match the crystal system unit cells mentioned in column-I with their characteristic feature mentioned in column-II

Solid State & Group Theory - Question 18

The improper axis present in staggered ferrocene is

Detailed Solution for Solid State & Group Theory - Question 18

The point group of ferrocene is D5d. It has S2n improper axis called S10.

Solid State & Group Theory - Question 19

The Mulliken Notation for the following irreducible representation

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Solid State & Group Theory - Question 20

The number of classes in CH4 molecule is/are ________(answer should be an integer).


Detailed Solution for Solid State & Group Theory - Question 20

The number of classes in CH4 molecule is 5.

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