Write a short note on Thermal ionization.
What is an adiabatic demagnetisation cycle? Discuss the cycle in terms of M, H indicator diagram.
Derive expressions for the Maxwellian distribution of
(i) One component of velocities
(ii) one component of momenta, in the molecules of an ideal gas.
Show that done in a reversible expansion of an ideal gas from volume V_1 to V_2 is greater than the corresponding work done in an irreversible expansion against a constant pressure P_2.
Write a short note on Equipartition of energy.
Calculate the Joule-Thomson coefficient for nitrogen gas at 293 K and 100 atm. pressure taking C_p = 8.21\text{ cal deg}^{-1}\text{ mole}^{-1} a = 1.39\text{ liter}^2\text{ atm-mole}^{-2} and b = 3.92 \times 10^{-2}\text{ liter mole}^{-1}
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.
State and prove Poynting's theorem. Discuss the physical significance of each term in resulting equation.
Show that the electromagnetic waves in free space are transverse in nature.
If the avenge distance between the sun and earth is 1.5 \times 10^{11} m, find the avenge solar energy flux and the earth (solar constant) given the power radiated by the sun = 3.8 \times 10^{26} watt.
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.
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.
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.
Using Laplace's equation obtain an expression for the potential between two coaxial cylinders.
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.
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}.
Write a short note on Holography.
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.
Briefly discuss the feasibility of a laser, emitting monochromatic Fermions, such as electrons.
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