The Meghalaya Public Service Commission is the State Public Service Commission is provided under Article 315 read with Article 316 of the Constitution of India. Here is a Detailed Syllabus for MCS & MPS Preliminary Exam Optional Paper - Physics.
MCS & MPS Prelims Syllabus
Optional Paper - Physics
Section – ‘A’
- Mechanics and Waves
- Dimensional analysis. Newton’s laws of motion and applications, variable mass systems, projectile
- Rotational dynamics‐kinetic energy, angular momentum, theorems of moment of intertia a calculations in simple cases. Conservative forces, frictional forces. Gravitational potential and intensity due to spherical objects. Central forces, Kepler’s problem, escape velocity and artificial satellite (including GPS).
- Streamline motion, viscosity, Poiseuille’s equation. Applications of Bernoul equation and Stoke’s law.
- Special relativity and Lorentz transformation‐length contraction, time dilation, mass‐energy relation.
- Simple harmonic motion, Lissajous figures. Damped oscillation, forced oscillation and resonance. Bea
- Phase and group velocities. Stationary waves, vibration of strings and air columns, longitudinal waves solids. Doppler effect. Ultrasonics and applications.
- Geometrical and Physical Optics.
- Laws of refection and refraction from Fermat’s principle. Matrix method in paraxial optics‐ thin lenses formula, nodal planes., system of two thin lenses. Chromatic and spherical aberrations. Simple optical instruments‐magnifier, eyepieces, telescopes and microscopes. Huygen’s 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. Fresnel diffraction‐half‐period zones and zone pla. Production and detection of linearly, circularly and elliptically polarised light. Double refraction quarter‐waves plates and half‐waves plates. Polarizing sheets. Optical activity and applications. Raylei scattering and applications.
- Elements of fibre optics‐attenuation; pulse dispersion in step index and parabolic index fibres; mater dispersion. Lasers, characteristics of laser light‐spatial and temporal coherence. Focussing of laser beam and applications.
- Heat and Thermodynamics
- Thermal equilibrium and temperature. The zeroth law of thermodynamics. Heat and the first law thermos dynamics. 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 experiment‐van der Waals equation and application of Joule‐Kelvin effect and applications. Brownian motion. Thermodynamic potentials‐Maxwell relation Phase transitions.
- Kirchhoff’s laws. Black‐body radiation‐Stefan‐Boltzman law, spectral radiancy, Will displacement law, application to the cosmic microwave background radiation, Planck radiation law.
- Electricity and Magnetism
- Electric charge, Coulomb’s law, electric field, Gauss’ law. Electric potential, van de Graff accelerate
- Capacitors, dielectrics and polarization. Ohm’s law, Kirchhoff’s first and second rules, resistors in series and parallel, applications to two‐loop circuits. Magne tic field‐Grauss’ law for magnetism, atomic and nuclear magnetism., magnetic susceptibility, classification of magnetic materials. Circulating charge cyclotron, synchrotron. Hall effect. Biot‐Savart law, Ampere’s law, Faraday’s law of induction, Lenz law. Inductance. Alternating current circuit‐RC, LR, single‐loop LRC circuits, impedance, resonance power in AC circuits. Displacement current, Maxwell’s equations (MKS units), electromagnetic wave energy transport and Poynting vector.
- Atomic and Nuclear Physics
- Photoelectric effect, Einstein’s photon theory. Bohr’s theory of hydrogen atom. Stern Gerlad experiment, quantisation of angular momentum, electron spin. Pauli exclusion principle and applications. Zeeman effect. X‐ray spectrum, Bragg’s law, Bohr’s theory of the Mosley plot. Compton effect, Compton wavelength. Wave nature of matter, de Broglic wavelength,wave‐particle dualit Heisenberg’s uncertainty relationships. Schroedinger’s equation‐eigenvalues and eigenfunctions of
(i) particle in a box,
(ii) simple harmonic oscillator and
(iii) hydrogen atom.
Potential step and barricade penetration. Natural and artificial radioactivity. Binding energy of nuclei, nuclear fission and fusion Classification of elementary particles and their interactions.
- Electronics
Diodes in half‐waves and full‐wave rectification, qualitative ideas of semiconductors, p type and n type semiconductors, junction diode, Zener diode, transistors, binary numbers, Logic gates and truth tables,
Elements of microprocessors and computers.
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