Engineering Physics (BT-201) - Important Questions

State and prove/explain Heisenberg's uncertainty principle in detail.

Derive the energy eigenvalues and wave functions for a particle in a one-dimensional box.

Derive both the time-dependent and time-independent Schrodinger wave equations.

Discuss the physical significance of wave function.

Derive the relation between phase velocity and group velocity.

Derive the time-dependent Schrodinger wave equation.

Discuss about the Free Particle Wave Function and Wave Packets.

Define the wave function, state its properties, and derive the energy and momentum operators.

Discuss the energy and momentum operators in quantum mechanics.

Explain Dual nature of light.

Derive the time-independent Schrodinger wave equation.

Explain the construction and working principle of the Mach-Zehnder interferometer with a suitable ray diagram.

Explain the construction and working of Michelson's interferometer with labelled diagram, including types of fringes formed.

Explain the formation of Newton's rings and derive the expression for the diameters of dark and bright fringes / wavelength of light.

Explain Rayleigh's criterion for limit of resolution / resolving power and its importance.

What is interference of light? Describe Young's double-slit experiment with labelled diagram and derive the expression for fringe width.

Explain superposition of waves and interference of light by division of amplitude.

Explain the Fraunhofer diffraction due to single slit with necessary analysis.

Explain Rayleigh's criterion of resolution and derive an expression for the resolving power of a grating.

Differentiate between division of amplitude and division of wavefront in interference.

Numerical problem on Newton's rings to calculate the wavelength of light from given ring diameters and radius of curvature.

Define superposition of waves.

Explain superposition of waves with constructive and destructive interference.

Explain the variation/shifting of Fermi level in N-type semiconductors with doping concentration and temperature.

Derive an expression for Hall coefficient and Hall voltage.

What is a Zener diode? Discuss its I-V characteristics.

What is a P-N junction diode? Explain its working and discuss its V-I (I-V) characteristics.

Write short notes on the following:

Draw and explain the V-I characteristic curve of a P-N junction diode and differentiate between Avalanche and Zener breakdown.

Explain Kronig Penney model for periodic potential. Write down the Schrodinger equation and discuss conclusion of this model.

Explain Hall effect and derive an expression for Hall coefficient and Hall angle.

Write short notes on "Density of State".

State and prove Bloch Theorem.

Explain the construction and working of solar cell with neat diagrams.

Explain the properties of LASER light

Explain the construction and working of He-Ne laser with diagram.

Explain the construction and working of CO2 laser with energy level diagram.

Explain the construction and working of Ruby laser with neat diagram.

Define Einstein coefficients and derive the relationship between Einstein A and B coefficients.

Derive the expression for the acceptance angle of an optical fiber and calculate the acceptance angle for given core and cladding refractive indices.

Explain the numerical aperture and acceptance angle of an optical fiber.

Explain the working principle of an optical fibre and how light propagates through it by total internal reflection, including definitions of numerical aperture, population inversion and V-number.

Distinguish between spontaneous and stimulated emission and list applications of laser.

Explain population inversion.

Write down the applications of LASER in engineering and medicine.

Explain the importance of total internal reflection in an optical fiber.

Derive the equation of continuity for current density from the principle of charge conservation, stating assumptions, and explain its significance.

Write a note on the different types of polarization in dielectric materials.

Explain Maxwell's equations in vacuum

Derive the electric field and electrostatic potential for a general charge distribution.

State and derive Stokes' theorem and Gauss's divergence theorem.

Define electric field intensity and derive the electric field intensity due to an infinite line charge.

Explain the electrostatic potential for a charge distribution.

Define gradient of a scalar field, divergence of a vector field.

State and prove Stokes' theorem.

State and explain Stoke's and Gauss theorem.

Derive Maxwell's equations in vacuum

Write short notes on any two :

Write short note on any two: a) Zener diode b) Newton's ring c) Intrinsic and Extrinsic semiconductor through Fermi level d) Solar cell

Write short notes on any two: a) Heisenberg's uncertainty principle b) Mach-Zehnder interferometer c) Solar cell d) V number

Write short notes on any two: a) Physical significance of wave function b) Young's double slit experiment c) Bloch's theorem d) Properties of Laser Light