MSc PROGRAMMES

**Syllabus for MSc (Physics) Entrance Examination**

Paper will consists of 75 objective type questions. Each question will carry 1 mark and 1/4th mark will be deducted for wrong/blank answers.

**Syllabus:**

1. Mechanics and Waves

Newton's laws of motion and applications, variable mass systems, projectiles. Rotational dynamics-kinetic energy, angular momentum, theorems of moment of intertia. Conservative forces, frictional forces. Gravitaional potential and intensity due to spherical objects. Central forces, Kepler's problem, escape velocity and artificial satellites. Streamline motion, viscosity, Applications of Bernoulli's equation and Stokes' law. Special relativity, length contraction, time dilation, mass-energy relation. Simple harmonic motion, Lissajous figures. Damped oscillation, forced oscillation and resonance. Beats, Phase and group velocities. longitudinal waves in solids. Doppler effect, Ultrasonic and their applications.

2.Geometrical and Physical Optics.

Laws of reflection and refraction from Fermat's principle. Matrix method in paraxial optics- thin lens formula, nodal planes, system of two thin lenses. Chromatic and spherical aberrations. Huygens' principle-reflection and refraction of waves. Interference of light-Young's experiment, Newton's rings, interference by thin films, Michelson interferometer. Fraunhofer diffraction-single slit, double slit, diffraction grating, resolving power. Production and detection of linearly, circularly and elliptically polarised light. Double refraction, quarter-waves plates and half-wave plates. Optical activity and applications. Elements of fibre optics-attenuation; pulse dispersion in step index and parabolic index fibres; material dispersion. Lasers, characteristics of laser light-spatial and temporal coherence.

3. Heat and Thermodnamics

Thermal equilibrium and temperature. The zeroth law of thermodynamics. Heat and the first law of thermodynamics. Efficiency of Carnot engines. Entropy and the second law of thermodynamics. Kinetic theory and the equation of state of an ideal gas. Mean free path, distribution of molecular speeds and energies. Trasport phenomena. Andrew's experiements-van der Waals equation and applications. Joule-Kelvin effect and applications. Brownian motion. Thermodynamic potentials-Maxwell relations. Phase transitions. Kirchhoff's laws. Black-body radiation-Stefan-Boltzmann law, spectral radiancy, Wien displacement law, application to the cosmic microwave background radiation, Planck radiation law.

4. Electricity and Magnetism

Electric charge, Coulomb's law, electric field, Gauss' law. Electric potential, van de Graff accelerator. Capacitors, dielectrics and polarization. Ohm's law, Kirchhoff's first and second rules, resistors in series and parallel, applications to two-loop circuits. Magnietic field-Gauss'law for magnetism, atomic and nuclear magnetism, magnetic susceptibility, classification of magnetic materials. Cirulating charges, cyclotron, synchrotron. Hall effect. Biot-Savart law, Ampere's law, Faraday's law of induction., Lenz's law. Inductance. Alternating current circuits-RC, LR, single-loop LRC circuits, impedance, resonance, power in AC circuits.

Displacement current, Maxwell's equations.

5. Atomic and Nuclear Physics

Photoelectric effect, Einstein's photon theory. Bohr's theory of hydrogen atom. Stern-Gerlach experiment, quantisation of angular momentum, electron spin. Pauli exclusion principle and applications. Zeeman effect. X-ray spectrum. Compton effect, Compton wavelength. Wave nature of matter, de Broglie wavelength, wave-particle duality. Heisenberg's uncertainty relationships. Schroedinger's equation-eigenvalues and eigenfunctions of (i) particle in a box, (ii) simple harmonic oscillator and (iii) hydrogen atom. Natural and artificial radioactivity. Binding energy of nuclei, nuclear fission and fusion. Classification of elementary particles.

6. Solid State Physics

Crystal structure, x-ray diffraction, Bragg’s law, Bonding, covalent, ionic, metallic, Van der Walls bonding, Magnetism, Dia, Para and Ferromagnetism, Hysteresis. Thermal properties, lattice vibrations, Debye model.

Band structure, energy band, energy gap, metals, insulators and semiconductors.

7. Electronics

Diodes in half-waves and full-wave rectification, qualitative ideas of semiconductors, p type and n type semiconductors, junction diode, Zener diode, transistors, Field Effect transistor. Binary numbers, Logic gates and truth table.

Sample Questions:

1. The minimum value of angular momentum by coupling three angular momenta 1, 3/2 and 5/2 is

(a) -5 (b) 0.5 (c) 0 (d) 1

2. The mechanical equivalence of an LCR series circuit with voltage

source is a

(a) damped harmonic oscillator (b) forced harmonic oscillator

(c) free linear harmonic oscillator (d) damped and forced harmonic oscillator

Note: There will be negative marking for wrong answers. Penalty for wrong answers will be adopted as under :

The total marks to be awarded to a candidate in a paper after imposing the penalty will be calculated by the following formula (assuming that each question carries 1 mark).

For each correct answer to a question, one mark will be awarded. However, if the answer is wrong 1/4 mark will be deducted. For examples this will be computed as under.

Let R = number of correct answers

W = number of wrong answers

U = number of Unattempted questions

T = total number of questions

Then the total marks obtained is R-1/4W. Calculated to the second place of decimal, the examiner will also check that T = R + W + U = T

For details visit: http://www.thapar.edu/

**About Thapar University**

Thapar University, a premier engineering university, funded and approved by University Grant Commission (UGC) under the section 3 of UGC act, was known as Thapar Institute of Engineering and Technology before 2007.

The Thapar University is today recognized among the leading privately managed grant-in-aid engineering institutions of the country and the best of its kind in the north-western region of India. NAAC, an Autonomous Institution of UGC, has reaccredited Thapar University and award A Grade.

The TTC with its three institutions viz, TU, TP and TCIRD, is today a unique Campus in our country with extraordinary potential for development of indigenous technology and its engineering industries.

A Centre of Relevance and Excellence (CORE) has been set up at Thapar University by TIFAC Mission REACH of Department of Science & Technology, Govt. of India in its first phase of setting up eight CORES at various Institutes and Universities spread all over the country.

Science and Technology Entrepreneur’s Park (STEP) has been established jointly by Thapar University and DST, Govt. of India.

Thapar University has impressively grown in size and activities during the last five decades of its existence. Nearly 10,500 engineers have left its portals so far, distinguishing themselves as proud Thaparians in diverse fields in our country and aboard. As a fitting recognition of its pioneering role in promoting the growth and development both at National and International levels, Thapar University was granted full autonomy and the status of a Deemed University in 1985 UGC.

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