• Attempt any five questions.
• All questions carry equal marks.
Define phase velocity and group velocity.
Explain uncertainty principle.
Derive the time independent Schrödinger wave equation.
Define path difference and phase difference.
What should be the minimum number of lines in a grating which will just resolve in the second order, the lines whose wavelengths are 5890Å and 5896Å.
Derive the expression for intensity due to diffraction at a single slit.
Explain the Fermi level shifting in semiconductors.
Discuss the free electron theory of motors.
Draw the V-I characteristics of Zener diode.
Explain the properties of LASER.
Find the intensity of laser beam of 10 mW power and having diameter of 1.3 mW, assuming the intensity to be uniform across the beam.
Explain the working of Ruby laser with labelled diagram.
Define gradient of a scalar field and divergence of a vector field.
State and prove continuity equation.
State and explain Maxwell's equation in vacuum and non conducting medium.
Discuss the energy and momentum operator.
Explain the Dual nature of matter.
Prove that for one dimensional motion of a particle in a box ψₙ = A sin(nπx/L).
Differentiate between division of amplitude and division of wavefront.
In Newton's ring experiment the diameter of nth and (n+14)th rings 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 the Michelson's interferometer experiment on the basis of labelled diagram and types of fringes.
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 core and cladding are 1.45 and 1.41 respectively.
