1. In a nuclear experiment, beam.s of electrons and protons are moving with velocities c 10 and c 20 respectively. Calculate the de Broglie wavelengths of both the particles in metre is the speed of light . 3 x 10^8 m s .

Recall the Pauli matrix representation of two-state system of electron,sigma x» sigma sigma and show that they do not commute.

What does the uncertainty principle signify? Consider an electron in a box of size 10^-10 m. What will be its maximum uncertainty in momentum?

Consider a two-electron system in ground state with orbital quantum number zero 0). Use Pauli's exclusion principle to obtain orientations of the two electrons. (et Explain the phenomenon of Zeeman effect of atomic physics.

2. Obtain the solution of one-dimensional free particle Schrodinger equation. Show that corresponds to plane monochromatic (constant angular frequency) wave.

Consider a one-dimensional harmonic oscillator potential

m wo²x²

where m represents the mass of a particle, c.o0 is the classical frequency of the oscillator and x is the displacement from equilibrium position. Obtain the solution of the corresponding Sohrodiriger equation. Using the normalization condition on the solution, show that the ground-state wave function has the form

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3. Consider a hydrogen atom in Bohr atomic model. Outline its importance in the context of spatial quantization and the spin of the electron.

Outline the Stern-Gerlach experiment and discuss its importance in the context of quantum nature of atom.

4. Obtain the frequency Vr of the spectral line of rotation spectra of a diatomic molecule and discuss the characteristics of its spectrum.

Outline elementary theory of Nuclear Magnetic Resonance and discuss its applications.

5. In a nuclear fusion process, four hydrogen nuclei combine to form a helium nucleus. Obtain the process is responsible for energy of a star of mass 2 x 10^30 kg, each kilogram having 6 x 10^26 protons, what could be the magnitude of energy released in it?

Obtain the Q-values for the following four nuclear reactions

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What are the quantum numbers of d and s quarks and of the corresponding antiquarks obtain the quark contents of proton neutron positively charged pion and negatively charged omega minus particle.

Distinguish between a normal conductor, a superconductor and a semiconductor. How a p-type semiconductor differs from an n-type?

What are logic gates and truth tables? Obtain the truth table of a two-input OR gate.

6. Give an outline of meson theory of nuclear forces. Describe the physical basis of short-range nuclear repulsion between like nucleons proton-proton or neutron-neutron Consider the following two three-nucleon systems and Which one is more likely to form a bound state?

What is parity transformation? Discuss the experiment that confirms the violation of parity in beta decay.


7. What are leptons? How are they different from other baryons? Define their quantum numbers and identify 'the forbidden ones in the following scattering or decay processes, justifying your conclusions

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Describe the properties of field quanta of electro-weak and strong interactions of

Describe the phenomenon of Meissner effect and its importance in the study of superconductors.

8. Give an elementary outline of high-temperature superconductors and their experimental status.

Give schematic diagrams to distinguish between and transistors.

Describe the following laws of Boolean algebra with one application each to logic circuit

Commutative law of addition

Associative law of addition

Associative law of multiplication

Distributive law