Questions 11–20 of 65. Imported answers require independent review unless marked reviewed.

Topic practice 65 questionsPage 2 of 7

Question 34

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PHNAT1 markNeeds review
Consider a monatomic chain of length 30 cm. The phonon density of states is

s. Assuming the Debye model, the velocity of sound in m/s (rounded off to one decimal place) is _____

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Question 47

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Which of the following option(s) is/are correct for a Type I superconductor?
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Question 16

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Crystal structures of two metals A and B are two-dimensional square lattices with same lattice constant

. Electrons in metals behave as free electrons. The Fermi surfaces corresponding to A and B are shown by solid circles in figures.
Diagram for Physics question 16

The electron concentrations in A and B are

and

, respectively. The value of

is
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Question 27

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The temperature dependence of the electrical conductivity (

) of three intrinsic semiconductors A, B and C is shown in figure.
Diagram for Physics question 27

Let

,

and

be the bandgaps of A, B and C, respectively. Which one of the following relations is correct?
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Question 39

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The X-ray diffraction pattern of a monatomic cubic crystal with rigid spherical atoms of radius 1.56 Å shows several Bragg reflections of which the reflection appearing at the lowest

value is from (111) plane. If the wavelength of X-ray used is 0.78 Å, the Bragg angle (in

, rounded off to one decimal place) corresponding to this reflection and the crystal structure, respectively, are
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Question 52

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The temperature T dependence of magnetic susceptibility

(Column I) of certain magnetic materials (Column II) are given below.
Diagram for Physics question 52

Which of the following option is/are correct?
Column I: (1)

decreases from a maximum as

increases; (2)

decreases with increasing

; (3)

is constant; (4)

decreases from a large value as

increases.
Column II: (P) Diamagnetic; (Q) Paramagnetic; (R) Ferromagnetic; (S) Antiferromagnetic.
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Question 54

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Apart from the acoustic modes, 9 optical modes are identified from the measurements of phonon dispersions of a solid with chemical formula

, where

and

denote the atomic species, and

and

are integers. Which of the following combination of n and m is/are possible?
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Question 57

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PHMSQ2 marksNeeds review
A material behaves as a superconductor below a critical temperature

and as a normal conductor above

. A magnetic field

is applied when

. The material is then cooled below

in the presence of

. Which of the following figure represent the correct configuration of magnetic field lines?
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Question 16

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The Hall experiment is carried out with a non-magnetic semiconductor. The current

is along the

-axis and the magnetic field

is along the

-axis. Which one of the following is the CORRECT representation of the variation of the magnitude of the Hall resistivity

as a function of the magnetic field?
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Question 18

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A compound consists of three ions X, Y and Z. The Z ions are arranged in an FCC arrangement. The X ions occupy

of the tetrahedral voids and the Y ions occupy

of the octahedral voids. Which one of the following is the CORRECT chemical formula of the compound?
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