OJEE Syllabus Lateral Entry Stream BSc Physics Paper-II

**B.Sc. Paper-II (B.Sc Physics)**

Mechanics : laws of motion, motion in a uniform field, components of velocity and acceleration in different coordinate systems. Motion under a central force, Kepler’s law, Gravitational law and field. Potential due to a spherical body, Gauss and Poisson equations for gravitational selfenergy. System of particles, center of mass, equation of motion, conservation of linear and angular momenta, conservation of energy, elastic and inelastic collisions. Rigid body motion, rotational motion, moment of inertia and their products.

Oscillations : Harmonic oscillations, kinetic and potential energy, examples of simple harmonic oscillations, spring and mass system, simple and compound pendulum, torsional pendulum. Superposition of two simple harmonic motions of the same frequency along the same line, interference, superposition of two mutually perpendicular simple harmonic vibrations of the same frequency, Lissajous figures, case of different frequencies.

Motion of charged particles in elastic and magnetic fields : E as an accelerating field, electron gun, case of discharge tube, linear accelerator, E as deflecting field-CRO, sensitivity, fast CRO.

Properties of Matter : Elasticity, small deformations, Hooke’s law, elastic constants for an isotropic solid, beams supported at both the ends, cantilever, torsion of a cylinder, bending moments and shearing forces. Bernoulli’s theorem, viscous fluids, streamline and turbulent flow. Poiseulle’s law. Capillary tube flow, Reynold’s number, Stokes law. Surface tension and surface energy, molecular interpretation of surface tension, pressure on a curved liquids surface, wetting.

Electrostatics : Coulomb’s law in vaccum expressed in vector forms, calculation of E for simple distributions of charge at rest, dipole and quadrupole fields Work done on a charge in an electrostatic field expressed as a line integral, conservative nature of the electrostatic field. Electric potential, ϕ ,E = - ∇ φ , torque on a dipole in a uniform electric field and its energy, flux of the electric field, Gauss’s law and its application for finding E for symmetric charge distributions, Gaussian pillbox, fields at the surface of a conductor. Screening of E field by a conductor, capacitors, electrostatic field energy, force per unit area of the surface of a conductor in an electric field.

Electric Currents : Steady current, Current density J, nonsteady currents and continuity equation, Kirchoff’s law and analysis of multiloop circuits, rise and decay of current in LR and CR circuits, decay constants, transients in LCR circuits, AC circuits, Complex numbers and their applications in solving AC circuit problems, complex impedance and reactance, series and parallel resonance, Q factor, power consumed by an AC circuit, power factor.

Magnetostatics : Force on a moving charge, Lorentz force equation and definition of B, force on a straight conductor carrying current in a uniform magnetic field, torque on a current loop, magnetic dipole moment, Biot and Savart’s law, calculation of H order in simple geometric situations, Ampere’s law ∇.B=0, ∇×B,= μ0.J field due to a magnetic dipole.

Time Varying Fields : Electromagnetic induction, Faraday’s law, electromotive force e=òE.dr, integral and differential forms of Faraday’s law, mutual and self inductance, transformers, energy in a static magnetic field, Maxwell’s displacement current, Maxwell’s equations, electromagnetic field energy density.

Electromagnetic Waves : The wave equation satisfied by E and B, plane electromagnetic waves in vacuum, poynting’s vector.

Kinetic theory of Matter : Real gas : vander Waals gas, equation of state, nature of Vander Waals forces, comparison with experimental P-V curves. The critical constants, gas and vapour, Joule expansion of ideal gas, and of a Vander Waals gas, Joule coefficient, estimates of J-T cooling.

Thermodynamics : Blackbody radiation: Pure temperature dependence, energy distribution in blackbody spectrum. Planck’s quantum postulates, Planck’s law, complete fit with experiment. Interpretation of behaviour of specific heats of gases at low temperature.

Kinetic Theory of Gases : Maxwellian distribution of speeds in an ideal gas: distribution of speeds and of velocities, distinction between mean, rms and most probable speed values.

Physical Optics : Interference of a light: The principle of superpositions, two-slit interference, coherence requirement for the sources, optical path retardation, lateral shift of fringes, Localized fringes: thin films, Michelson interferometer, Fresnel diffraction: Fresnel half-period zones, plates, straight edge, rectilinear propagation. Fraunhofer diffraction : Diffraction of a single slit, the intensity distribution, diffraction at a circular aperture and a circular disc. Diffraction gratings: Diffraction at N parallel slits, intensity distribution, plane diffraction grating, polarization of transverse waves, plane, circular and elliptically polarized light. Polarization by reflection and refraction. Double reflection and optical rotation: Refraction, in uniaxial crystals, its electromagnetic theory. Phase retardation plates, double image prism, rotation of plane of polarization, origin of optical rotation in liquids and in crystals.

Quantum Mechanics: Origin of the quantum theory: failure of classical physics to explain the phenomena such as blackbody spectrum, photoelectric effect, Ritz combination principle in spectra, stability of an atom, Planck’s radiation law, Einstein’s explanation of photoelectric effect, Bohr’s quantization of angular momentum and its applications to hydrogen atom, limitations of Bohr’s theory. Wave particle duality and uncertainty principle: de Broglie’s hypothesis for matter waves, the concept of wave and group velocities, evidence for diffraction and interference of particles, experimental demonstration of matter waves. Consequence of de Broglie’s concepts; quantization in hydrogen atom; energies of a particle in a box, wave packets, Heisenberg’s uncertainty relation for p and x, its extension to energy and time. Consequence of the uncertainty relation: gamma ray microscope, diffraction at a slit, particle in a box, position of electron in a Bohr orbit. Quantum Mechanics: Schrodinger’s equation. Postulatory is of quantum mechanics, operators, expectation values, transition probabilities, applications to particle in a one dimensional box, harmonic oscillator, reflection at a step potential, transmission across a potential barrier.

Week spectra : continuous X-ray spectrum and its dependence on voltage, Characteristics X-rays. Moseley’s law, Raman effect, Stokes and anti-Stocks lines, fission and fusion (concepts), energy production in stars by p-p and carbon cycles (concepts). Cyclotron.

Solid State Physics

X-ray diffraction, Bragg’s law,

Magnetism : Atomic magnetic moment, magnetic susceptibility, Dia-Para-, and Ferromagnetism, Ferromagnetic domains, Hysteresis.

Band Structure : Energy bands, energy gap, metals, insulators, semiconductors.

Solid State Devices

Semiconductors : Instrinsic semiconductors, electrons and holes, Fermi level. Temperature dependence of electron and hole concentrations. Doping: impurity states, n and p type semiconductors.

Semiconductor devices : p-n junction, majority and minority carriers, diode, Zener diode.

Electronics

Power supply : diode as a circuit element, load line concept, rectification, ripple factor, zener diode, voltage stabilization, IC voltage regulation, characteristics of a transistor in CB, CE and CC mode.

Field effect transistors : JFET volt-ampere curves, biasing JFET, RC coupled amplifier, gain frequency response, input and output impedance.

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