GATE PH Solid State Physics PYQs & Answers — Page 6

Questions 51–60 of 65. Imported answers require independent review unless marked reviewed.

A conventional type-I superconductor has a critical temperature of 4.7 K at zero magnetic field and a critical magnetic field of 0.3 Tesla at 0 K. The critical field in Tesla at 2 K (rounded off to three decimal places) is

You can attempt this question now. Sign in to view the answer key, explanations and discussion.Log in to check answer

A particle of mass

moves in a lattice along the

-axis in a periodic potential

with periodicity

. The corresponding Brillouin zone extends from

with the two

-points being equivalent. If a weak force

in the

-direction is applied to the particle, it starts a periodic motion with time period

. Using the equation of motion

for a particle moving in a band, where

is the crystal momentum of the particle, the period

is found to be (

is Planck constant)

Your answerChoose one option.

You can attempt this question now. Sign in to view the answer key, explanations and discussion.Log in to check answer

In a certain two-dimensional lattice, the energy dispersion of the electrons is

where

denotes the wave vector,

is the lattice constant and

is a constant in units of eV. In this lattice the effective mass tensor

of electrons calculated at the center of the Brillouin zone has the form

. The value of

(rounded off to three decimal places) is ______

You can attempt this question now. Sign in to view the answer key, explanations and discussion.Log in to check answer

For the given unit cells of a two dimensional square lattice, which option lists all the primitive cells?

Your answerChoose one option.

① and ②

①, ② and ③

①, ②, ③ and ④

①, ②, ③, ④ and ⑤

You can attempt this question now. Sign in to view the answer key, explanations and discussion.Log in to check answer

At low temperatures (

), the specific heat of common metals is described by (with

and

as constants)

Your answerChoose one option.

You can attempt this question now. Sign in to view the answer key, explanations and discussion.Log in to check answer

The high temperature magnetic susceptibility of solids having ions with magnetic moments can be described by

with

as absolute temperature and

as constant. The three behaviors i.e. paramagnetic, ferromagnetic and anti-ferromagnetic are described, respectively, by

Your answerChoose one option.

You can attempt this question now. Sign in to view the answer key, explanations and discussion.Log in to check answer

If X is the dimensionality of a free electron gas, the energy (E) dependence of density of states is given by

, where Y is ________.

You can attempt this question now. Sign in to view the answer key, explanations and discussion.Log in to check answer

The energy dispersion for electrons in one dimensional lattice with lattice parameter

is given by

, where

and

are constants. The effective mass of the electron near the bottom of the band is

Your answerChoose one option.

You can attempt this question now. Sign in to view the answer key, explanations and discussion.Log in to check answer

Amongst electrical resistivity (

), thermal conductivity (

), specific heat (

), Young’s modulus (Y), and magnetic susceptibility (

), which quantities show a sharp change at the superconducting transition temperature?

Your answerChoose one option.

You can attempt this question now. Sign in to view the answer key, explanations and discussion.Log in to check answer

The atomic mass and mass density of Sodium are 23 and 0.968 g cm

, respectively. The number density of valence electrons is ______

. (Up to two decimal places.) (Avogadro number,

You can attempt this question now. Sign in to view the answer key, explanations and discussion.Log in to check answer

GATE PH Solid State Physics PYQs

Question 25

Question 33

Question 55

Question 7

Question 12

Question 16

Question 24

Question 35

Question 36

Question 7