Calculate \omega_0 \Delta \omega and quality factor Q for LCR parallel resonant circuit given the values C = 0.4 \muF, L = 4 mH and R = 1 K\Omega.
cse-1994-subject-03-006
A harmonic e.m.f. is applied to a parallel resonant circuit containing resistance R, inductance L and capacitance C. Derive expressions for resonance, angular frequency \omega_0 and the band width \Delta \omega.
cse-1994-subject-03-005
Show that energy stored in a capacitor is \frac{1}{2} \frac{q^2}{C} while the energy stored in the inductor is \frac{1}{2} L i^2, where the symbols have their usual meaning.
cse-1994-subject-03-004
Using Laplace's equation obtain an expression for the potential between two coaxial cylinders.
cse-1994-subject-03-003
Obtain expressions for electrostatic scalar potential magnetostatic vector potential and electromagnetic potential. How are the first two related to the third? Explain the idea of retarded potential.
cse-1994-subject-03-002
Show that it is possible to arrive at Stefan-Boltzmann law with the aid of Carnot's cycle using black body radiation as the working substance.
cse-1994-subject-03-001
State and prove Poynting's theorem. Discuss the physical significance of each term in resulting equation.
cse-1994-subject-03-009
Show that the electromagnetic waves in free space are transverse in nature.
cse-1994-subject-03-008
Distinguish between phase velocity and group velocity. Calling group velocity C and phade velocity C in a medium of refractive index n, establish the relation C_g = C \left(1 + \frac{\lambda}{n} \frac{dn}{d\lambda}\right) where \lambda refers to the wavelength of the related light in vacuum
cse-1994-subject-02-002
Write a short note on Holography.
cse-1994-p1-q8-c
Briefly discuss the feasibility of a laser, emitting monochromatic Fermions, such as electrons.
cse-1994-subject-02-011
The light (\lambda = 6000\text{\AA}) from a laser of sectional diameter 1.0 cm and power 0.02 watt is loosed by a lens of focal length 10 cm. Determine the area at the image and intensity in it in watt/cm{}^2.
cse-1994-subject-02-010
Define mach number A plane files horizontally at an altitude of 2 km at twice the speed of the sound in air. At what distance from the plane will an observer on the ground first heat it coming?
cse-1994-subject-02-008
Describe how fresnel has accounted for the rotation of the plane of polarisation of light. Explain the action of a half-shade device.
cse-1994-subject-02-007
Discuss the theory of diffraction grating and find conditions for the absent spectra. Distinguish between resolving power and dispersive power of a grating.
cse-1994-subject-02-006
State Fourier's theorem. Discuss the conditions which a complex periodic curve must satisfy if it is to be analysed by this theorem. Show how the diffraction of waves at a single slit is related with a Fourier transform.
cse-1994-subject-02-005
Show that the interference fringes in uncoated thin films are distinct when seen in reflection, but very indistinct in transmission.
cse-1994-subject-02-004
Calculate the tension required to generate stationary waves with 4 loops in a string of length 1.0\text{ meter}, and mass 0.30\text{ g.} fixed to a tuning fork vibrating with frequency 200\text{ Hz}.
cse-1994-subject-02-003
A particle of mass 5g lies in a potential field given by U = (40x^2 + 80)\text{ erg/g}. Determine the frequency and time period of oscillations.
cse-1994-subject-02-001
Write a short note on Geostationary satellite.
cse-1994-p1-q8-f