PYQ Bank

Derive an expression for magnetic susceptibility below Neel's temperature for a ferromagnetic substance.

Draw a circuit using AND, OR and NOT gate to realize the following truth table: \begin{array}{|c|c|c|c|} \hline \multicolumn{3}{|c|}{\text{INPUTS}} & \text{OUTPUT} \\ \hline A & B & C & Y \\ \hline 0 & 0 & 0 & 0 \\ 0 & 0 & 1 & 1 \\ 0 & 1 & 0 & 1 \\ 1 & 0 & 0 & 1 \\ 0 & 1 & 1 & 0 \\ 1 & 0 & 1 & 0 \\ 1 & 1 & 0 & 0 \\ 1 & 1 & 1 & 1 \\ \hline \end{array}

Explain parity violation in b decay.

Describe and experiment that confirms the existence of neutrino.

What is helicity of a neutrino? How is it measured?

Whet are the conservation jaws of elementary particles? How are these applied to Leptons and Baryons?

Establish the necessary equation for the liquid drop model of a nucleus. How does it explain fission?

Give the theory of vibration-rotation spectra of diatomic molecules. Explain the nature of P, Q, R branches.

Describe briefly how it is possible to determine the elements present at the surface of a given star.

Discuss the gross and fine structure of electronic band spectra of a diatomic molecule.

Find the energy Ligenvalues of a one dimensional harmonic oscillator whose Hamiltonian is given by H = \frac{P^2}{2m} + \frac{1}{2} k x^2

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 Thermal ionization.

A 10 ohm resistor carrying 3 ampere current is cooled by running water so as to keep the temperature at 300 K. Discuss the change in entropy per second (i) of the resistor (ii) of the universe.

Establish the following relation using Carnot's principle. \frac{dp}{dT} = \frac{JL}{T(V_2 - V_1)} The symbols have usual meanings.

What is an adiabatic demagnetisation cycle? Discuss the cycle in terms of M, H indicator diagram.

Write a short note on Equipartition of energy.

Derive expressions for the Maxwellian distribution of

(i) One component of velocities

(ii) one component of momenta, in the molecules of an ideal gas.

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}

Show that the electromagnetic waves in free space are transverse in nature.