### M.sc 1st Year Physics Important Questions 2023

In this post master of physics 1st year physics important question set has been given for 2023.

You can prepare good physics notes by writing the answers to these questions.

For the preparation for your exam, you can study on the basis of the previous year question paper for msc physics.

Msc physics studies are tough.

If you are not afraid to solve the hardest physics question then it is easy too.

All these questions are taken from MSC 1st year physics question bank.

Many of these questions have been asked repeatedly in the exam.

There is a strong possibility of asking them again in the upcoming examination.

Let's solve this m.sc physics question paper.

__FAQ__

Question - **How many subjects are there in MSc physics?**

Answer - You will study this subject in M.Sc. By solving questions based on these, you can score good marks on the exam. Those subjects are - Mathematical Physics, Quantum Mechanics, Electrodynamics And Plasma Physics, Statistical Mechanics, Nuclear And Particle Physics, Atomic And Molecular Physics, Condensed Matter Physics, and Electronic devices. Questions related to these are given below.

Question - **What are the career opportunities master of science in physics for earning?**

Answer - After mastering this subject, you will get many opportunities. In which you can earn money by making your career. You can find these jobs in - teaching, research, subject matter expert, home tutoring, online teaching, and blogging. You can work as a scientist/officer in any R&D organization -BARC, ONGC, BHEL, ISRO. You can also be applicable for many other jobs like - Marine, Military, Laboratories, Navy, and Air force. so overall this subject is good from a career perspective.

#### M sc Physics Question Paper First Year

**Mathematical Physics Important Questions For M.sc**

- Where Jo is the Bessel's functions of Zero order.
- Find the solution of the harmonic oscillator by the Hamilton Jacobi Method.
- Find the equation of motion for a charged particle in an electromagnetic field using the Hamiltonian of the particle.
- Show that (a) row-equivalent matrices have the same rank, (b) the row space and the column space of a matrix have the same dimension equal to rank A.
- Obtain the expression for normal frequencies of a double pendulum.
- Write notes on the orthonormality of column and row vectors. Prove that eigenvectors of a symmetric matrix corresponding to different eigenvalues are orthogonal.
- State and prove (a) Parseval's theorem and (b) the Convolution theorem of Fourier-transforms.
- Starting with the series expansion, derive Rodrigues's formula for Legendre polynomials.
- Derive integral representation of Jn(x), the Bessel's function of the first kind of order n.

**Quantum Mechanics Important Questions For M.sc 1st Year**

- What is a Wave packet? Obtain expressions for the group velocity and the phase velocity of a de-Broglie wave. Show that the product of the phase velocity and the group velocity is equal to c2.
- State the postulates of Schrodinger's formulation of quantum mechanics.
- Set up a SchrÃ¶dinger equation for a one-dimensional harmonic oscillator and solve it to obtain its energy eigenvalues and eigenfunctions.
- What is the meaning of wave function? Explain stationary states.
- Discuss the scattering of particles by a spherically symmetric potential. Explain partial waves and phase shifts.
- Give a brief account of the quantum mechanical theory of the Stark effect for the splitting of energy of hydrogen atoms.
- State and explain Fermi's golden rule. What do you understand by adiabatic and sudden approximation?
- Give a brief account of the quantum mechanical theory of the Stark effect for the splitting of energy of hydrogen atoms.
- Describe time-independent perturbation theory to get a good approximation to the nondegenerate energy eigenvalues.
- State and explain Fermi's golden rule. What do you understand by adiabatic and sudden approximation?
- What are identical particles? Give the significance of identical particles in quantum mechanics.
- Discuss the symmetrization procedure for bosons and fermions.
- Write short notes on the following- (a) the Dual nature of the de-Broglie wave (b) the Dirac delta function (c) Operators in quantum mechanics (d) Bra & Ket notations.

**Electrodynamics And Plasma Physics Question Paper**

- Calculate the vector potential of a current loop.
- Establish electromagnetic field tensor.
- Explain advanced and retarded potential. Obtain an expression for angular distribution of power for uniformly moving point charge.
- Discuss the motion of a charged particle in oscillating electromagnetic fields.
- What is Plasma? Give the key difference between plasma and normal gas. Derive an expression for Debye length.
- Discuss the motion of a charged in an oscillating electromagnetic field.
- Give Saha's theory of thermal ionization and explain the determination of plasma ionization on its basis.
- Explain Saha's theory of thermal ionization to determine plasma ionization.
- Derive the zeroth, first, and second moments of Boltzmann's equation.
- Discuss Debye length, Debye shielding, and the plasma parameter in detail.
- What do you mean by Lienard and Weichert's potential? Obtain the expression for Lienard Weichart's potential for uniformly moving point charge.
- Derive an expression for plasma frequency from the mass conservation equation of continuity.
- While discussing the behavior of plasma particles in a static magnetic field, deduce and discuss Larmor frequency.
- Discuss Larmor's formula for a non-relativistic accelerated charge.
- Obtain an expression for the Alfven Speed. Explain the nature of the Alfven Wave and the requisite condition for its formation.
- Write Maxwell's equations in tensor form and show that they are covariant under its basis.
- Derive Boltzmann's equation. What is the Boltzmann-Vlasov equation?

**Statistical Mechanics Important Questions**

- Prove that the one-dimensional Ising model does not explain spontaneous magnetization.
- Derive the Virial equation of state and evaluate the Virial coefficients.
- How does the solution of the two-dimensional Ising model overcome these difficulties?
- Write notes on the following- (a) Gibbs' paradox (b) Bose-Einstein Condensation (c) Assumptions of statistical mechanics
- (d) Phase-space and density of states.
- State and prove Boltzmann's theorem of entropy. Obtain the expression for the entropy of a monoatomic gas.
- Derive Fermi-Dirac distribution law.
- State and explain the fundamental assumptions of statistical mechanics. Explain phase space and density of states.
- State and prove Liouville's theorem. How is it analogous to the equation of continuity of an incompressible fluid?
- What are Critical Indices? Explain the different kinds of Critical Indices.
- What is phase transition? Explain the first-order and the second-order phase transitions. Discuss Landau's theory of phase transition.
- Derive the virial equation of state and evaluate the virial coefficients.
- What do you mean by cluster expansion? Discuss the theory of cluster expansion.
- Explain ensembles, microcanonical and grand canonical ensembles. Derive the Sackur equation for a perfect gas.

**Nuclear And Particle Physics Imp Questions**

- What is majorana force? Explain why a neutron-proton pair forms a bound nucleus, while a bi-neutron and a di-proton pair do not. How this exchange force gives rise to saturation in binding energy?
- Account for the nature of force existing between a proton and a neutron in a deuteron in the ground state.
- Derive an expression for the partial wave expansion of a plane wave.
- Write the classification chart of elementary particles. Give in detail the electromagnetic interaction between elementary particles.
- Explain 'scattering length' and 'effective range'. Find a relation between these quantities on the basis of the effective range theory of neutron-proton scattering.
- Describe the basic ideas of Yukawa's meson exchange theory of the nuclear forces.
- Describe the compound nucleus theory of nuclear reactions. Give experimental evidence in support of this theory.
- Write a detailed note on the classification of elementary particles.
- Discuss the quark model in detail. How does this model explain baryons and mesons?
- Describe the compound nucleus theory of nuclear reactions. Give experimental evidence in support of this theory.
- Define the Q-value of a nuclear reaction. Establish the Q-equation of the nuclear reaction.
- Give the simple Breit-Winger one-level formula for the cross-section of neutron reaction in nuclei. Explain how the width of the resonance level can be obtained from this formula.
- What are electric and magnetic transitions in Gamma-ray emission? Explain multipolarity in the Gamma transition.
- What are stripping and pickup reactions? Obtain an expression for reaction amplitude using a Born approximation for the above reactions.
- Describe Wu's experiment and give its interpretation to explain the non-conservation of parity in the weak interaction.

**Atomic And Molecular Physics Important Questions**

- Discuss the stark effect. Show that splitting increases with the increase of principal quantum number.
- State and explain Pauli's exclusion principle and discuss how this principle is connected with the symmetry of the wave function.
- Discuss the hyperfine structure of Spectral lines. What light do this throw on the spin and magnetic moment of atomic nuclei?
- Explain the phenomena of anomalous Zeeman and Paschen-Back effects, and give their theoretical explanations separately.
- What are normal and anomalous Zeeman effects? How are they explained?
- Discuss the hyperfine structure of spectral lines. What light do this throw on the spin and magnetic moment of atomic nuclei?
- Describe the general feature of the spectra of alkali-like atoms. How are they explained?
- Write down the SchrÃ¶dinger equation of one electron atom and solve it by the method of separation of variables. Explain the physical meaning of all the quantum numbers that appear.
- Deduce an expression for the series spectra of a hydrogen-like atom, taking into account the finite mass of the nucleus. Calculate the energy required to remove the electron from a singly ionized helium atom.
- What is the Raman effect? Explain theoretically the observed characteristic of the Raman Spectrum of the diatomic molecules.
- Discuss the principal features of the electronic spectrum.
- Explain the important features of electronic spectra. How electronic spectra differ from atomic spectra.
- What do you mean by ESR? Explain the basic principles of the interaction of electrons spin and applied magnetic field.
- Describe the principal features of the rotational band spectrum of a diatomic molecule.
- Explain the calculation of frequency for ESR and VMR.
- Give the theory of a vibrational-rotational spectrum of a diatomic molecule.
- Describe the principal feature of the rotational bond spectrum of a diatomic molecule. Estimate the energy difference between the rotational levels J = 0 and J = 1 of the HCl molecule. Its M.I. is 2.66 × 10–47 kg.m².
- Discuss the Raman spectra of a diatomic molecule and point out the similarities and differences with infra-red Raman spectra.
- Write notes on the following- (a) Franc-Condon Principle (b) LS and JJ Coupling (c) Origin of P, Q, and R branches in Vibration-Rotation-Spectra (d) NMR spectroscopy.

**Condensed Matter Physics Questions**

- State and prove Bloch's theorem.
- What is the quantum hall effect? Give an account of the theory of this effect.
- In a study of crystal structures, define the following terms- (a) Crystalline, Polycrystalline, and Amorphous states of solids (b) Lattice, basis, and crystal structure.
- What is a superconductor? Explain how their properties differ from those of normal conductors.
- Explain the significance of the effective mass of the electron.
- What is Fermi Surface? What are its main characteristics? Discuss the effect of the electric field and magnetic field on the Fermi Surface.
- What are Miller indices? How the orientation of a plane is specified by Miller indices? Explain their importance.
- Give the qualitative description of the BCS theory. How does it account for the superconductivity state?
- Describe the tight-binding approximation for calculating the energy states of an electron in a solid. How can this method be compared with the nearby free electron model in the case of a metal?
- Describe the cellular method for studying the band structure of the solids. What are the problems encountered with this method?
- Derive the Laue equations for the diffraction of X-rays by a crystalline solid. Show that Bragg's equation is a special case of the Laue equations.
- Discuss the quantization of electron orbits in the magnetic field.
- State and prove Bloch's theorem. Explain the significance of the effective mass of the electron.
- How are Brillouin Zones constructed? Describe and sketch the first Brillouin Zones of bcc and fcc lattices. Mention their importance in crystal analysis.
- Explain the difference between Type I and Type II superconductors. Prove that the Meissner effect and the disappearance of resistivity in a superconductor are mutually consistent.
- What is the atomic scattering factor? Derive the general expression for the atomic scattering factor using spherical polar coordinates.
- Discuss the Kronig-Penny model for a linear lattice. How does it lead to the formation of bands in solids?
- Explain the Schottky and the Frenkel defects. Calculate the equilibrium concentration defects and indicate the order of their magnitude.

**Electronic Devises Important Questions For Msc Physics**

- Explain piezoelectricity and discuss the application of piezoelectric material in sensors and actuators.
- Describe the design and operating characteristics of the tunnel diode. What is meant by tunneling?
- Give the basic design of Change-Coupled-Device (CCD) and explain its working.
- Explain transmissive and reflective type LCDs.
- Describe the mechanism of current flow in a properly biased BJT. Define the various parameters of BJT.
- Describe the design of MOSFET and obtain an expression for drain current.
- State and explain (i) the Electrostrictive effect and (ii) the Magnetostrictive effect.
- How can an NMOS device be used to implement a memory device? Explain it.
- Describe the construction and the working of the Uni junction transistor. Discuss its characteristics. Explain the intrinsic stand-off ratio.
- What are Lyotropic Liquid Crystals? Discuss the generic progression of phases going from low to high amphiphile concentration.
- What is Raman-Nath diffraction? Give its theory. How can it be observed?
- What are ferromagnetic materials? Discuss their classification. Give the important properties of these materials.
- Explain large angle diffraction with special reference to co-directional and contra-directional.
- Explain acousto optic effect. Mention the areas of its applications.
- Give an account of the theoretical treatment of liquid crystals.
- What do you understand by electro-gyration? Explain it on the basis of the symmetry approach.
- What are mesogens? Give examples of mesogenic structures.
- What is Pockels' effect? What is a Pockels Cell? Explain the dynamics within the cell and discuss the applications of Pockels' Cells.

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