What changes occur in the nuclear when a \beta- Particle is emitted? What is the role of the neutrinion \beta emission?

What is the relation between decay constant, half life and mean life of a radioactive element?

Write a short note on Nuclear fusion reactions.

How is binding energy of the nuclei determined?

Describe the characteristics of strong nuclear force.

What is nuclear fission? How is the nuclear fission of \text{U}_{92}^{235} brought about?

Write a short note on Pauli's exclusion principle and its application.

Raman effect differs from Rayleigh scattering Explain. Explain qualitatively how Raman lines originate. What is the difference between Raman scattering and compton scattering?

Derive an expression for the magnetic moment of an electron in an atom taking into account electron-spin. Explain anomalous Zeeman effect by considering the above magnetic moment.

Draw energy diagram for transverse Zeeman effect for D line of sodium 3^2P_{3/2} \rightarrow 3^2S_{1/2}

State the important characteristics of photoelectric effect and indicate how they are in conflict with classical ideas but are explained on the basis of quantum theory.

Using Schrodinger's equation show that a free particle in a box can have only discrete energy values.

Write a short note on Joule-Kelvin effect.

A shower of 6 \times 10^3 molecules, each travelling initially with same velocity, traverses a gas. Estimate the number of molecules which will travel unaffected even after traversing a distance equal to twice the mean-free path.

Define the thermodynamic energy functions. Using these functions establish the following relations:

(i) \left(\frac{\partial T}{\partial V}\right)_{\phi} = -\left(\frac{\partial P}{\partial V}\right)_V

(ii) \left(\frac{\partial P}{\partial T}\right)_V = \left(\frac{\partial \phi}{\partial V}\right)_T

(iii) \left(\frac{\partial T}{\partial P}\right)_{\phi} = \left(\frac{\partial V}{\partial \phi}\right)_P

(iv) \left(\frac{\partial \phi}{\partial P}\right)_T = -\left(\frac{\partial V}{\partial T}\right)_V

A and B are two huge blocks of same metal. The blocks are connected by a huge rod of the same material. The temperatures of A and B are 1500\text{ K} and 500\text{ K} respectively. The rate of heat conduction is 10^4\text{ J sec}^{-1}. Estimate the rate of entropy increase of the universe due to this process.

Write a short note on Equipartition of energy.

Calculate the temperature at which the average speed of \text{H}_2 molecules equals that of \text{O}_2 molecules at 350\text{ K}.

The total energy, U in oscillating L-C circuit is given by: U = U_B + U_E = \frac{1}{2} L i^2 + \frac{1}{2} \frac{q^2}{C} When the resistance of the circuit is zero From this show that it is an oscillatory circuit and find the time period.

State Biot-Savart's law. Derive an expression for the magnetic field at points along the axis of a circular coil.