• Attempt any five questions.
• All questions carry equal marks.
State and Prove uncertainty principle.
Discuss the energy and momentum operator.
Derive the time dependent Schrodinger wave equation.
Differentiate between division of amplitude and division of wavefront.
In Newton's Ring method, the diameter of nth and (n+14)th ring are 0.42 cm and 0.70 cm respectively. If the radius of curvature of plano convex lens is 100 cm, calculate the wavelength of light.
Explain Michelson's Interferometer experiment on the basis of labelled diagram and types of fringes.
Write short notes on "Density of State".
Explain the Fermi level shifting in semiconductors.
State and prove Bloch Theorem.
Explain population inversion.
Write the properties of LASER.
Discuss the working of He-Ne Laser with labelled diagram.
Explain the electrostatic potential for a charge distribution.
Define gradient of a scalar field, divergence of a vector field.
State and prove Stoke's Theorem.
Explain Dual nature of light.
Establish the relation between Vp and Vg.
Prove that for one dimensional motion of a particle in a box ψₙ = A sin(nπx/L).
Define superposition of waves.
Explain the Rayleigh's criteria for resolving power.
Discuss the Young's double slit experiment on the basis of labelled diagram, formula used and significance.
Write down the applications of LASER in engineering and medicine.
Write down the importance of total internal reflection in optical fiber.
Calculate the numerical aperture and acceptance angle for an optical fiber, given that the refractive indices of the core and the cladding are 1.45 and 1.41, respectively.
