Description

Yashwantrao Chavan Maharashtra Open University (YCMOU)

Yashwantarao Chavan Maharashtra Open University, Nashik
Dnyangangotri, Near Gangapur Dam, Govardhan Nashik-422222

V153 M.Sc. (PHYSICS) (SEM-III)
PHY602 – Condensed Matter Physics
Home Assignments (Year 2024-25)

SEMESTER – 3
PHY 602: Condensed Matter Physics Marks: 20
HOME ASSIGNMENT-1
Q.1. Solve following Long Answer Question. 10 Marks
a) Describe the different types of bonding in crystals (ionic, covalent, metallic, van der Waals, and hydrogen bonding). Discuss the key characteristics of each bond type and how they influence the properties of materials, such as melting point, hardness, and electrical conductivity.
Q.2. Solve following Short Answer Questions. 10 Marks
a) Describe the shape of the Fermi surface in a free electron gas model. How does it change for real metals? 5 Marks
b) What is the difference between Type I and Type II superconductors? 5 Marks

HOME ASSIGNMENT-2
PHY 602: Condensed Matter Physics Marks: 10
Q.1. Solve following Multiple Choice Questions (MCQ).(Each-1 Mark) 10 Marks
1) The Brillouin zone is defined as:
A) The region in real space where atoms are located.
B) The Wigner-Seitz cell in reciprocal space.
C) The region around a lattice point in direct space.
D) The unit cell in direct space.
2) The Debye temperature of a material is:
A) The temperature at which it becomes superconducting.
B) The highest temperature below which quantum effects are significant for lattice vibrations.
C) The temperature at which all electrons are excited to the conduction band.
D) The temperature at which magnetic ordering occurs.
3) The Fermi energy of a metal is:
A) The highest energy state occupied by electrons at absolute zero.
B) The energy required to remove an electron from the metal surface.
C) The energy of the lowest unoccupied state.
D) The energy at which electron-phonon scattering is minimized.
4) Which of the following statements best describes a Type II superconductor?
A) It has a single critical magnetic field.
B) It expels the magnetic field entirely when in the superconducting state.
C) It allows partial penetration of the magnetic field through quantized vortices.
D) It loses superconductivity abruptly at a certain temperature.
5) The effective mass of an electron in a crystal can be:
A) Greater than, equal to, or less than the free electron mass.
B) Always greater than the free electron mass.
C) Equal to the free electron mass only in insulators.
D) Only relevant in the free electron model.
6) According to Bloch’s theorem, electrons in a periodic potential:
A) Are always localized.
B) Experience no scattering.
C) Have wavefunctions in the form of plane waves modulated by the periodic potential.
D) Have energies independent of momentum.
7) In the tight-binding model, electron energy bands in a crystal are formed by:
A) Free electron-like states.
B) Hybridized atomic orbitals due to overlap.
C) Purely electrostatic forces.
D) Magnetic dipole interactions.
8) The Hall effect can be used to measure:
A) Only the magnetic susceptibility of a material.
B) The type and density of charge carriers in a material.
C) The specific heat capacity of a material.
D) The Fermi energy of a metal.
9) The magnetic susceptibility of a paramagnetic material follows the Curie law, which states that susceptibility is:
A) Proportional to temperature.
B) Inversely proportional to temperature.
C) Independent of temperature.
D) Proportional to the square of temperature.
10) The energy gap in a semiconductor is defined as the energy difference between:
A) The highest energy state of the valence band and the lowest energy state of the conduction band.
B) Two different electron shells within an atom.
C) The highest occupied state at zero temperature and the conduction band minimum.
D) The Fermi level and the conduction band minimum.