Quantum Mechanics & Free Electron Theory

Year – 2024

1. State the Planck’s radiation law. (JNTUH–Jan 2024) 1M
2. Draw E–K diagram of free electron. (JNTUH–Jan 2024) 1M
3. Explain the concept of the Heisenberg’s uncertainty principle. Using it, prove that electron cannot stay in the nucleus of an atom. (JNTUH–Jan 2024) 5M
4. Describe the findings of photoelectric effect. (JNTUH–Jan 2024) 5M
5. How does the classical theory fail to explain the photoelectric effect? (JNTUH–Jan 2024) 5M
6. What do you mean by free and bound electrons? Discuss the postulates of free electron theory of metals. (JNTUH–Jan 2024) 5M
7. Explain Bloch’s theorem and show how it leads to energy band structure of solids. (JNTUH–Jan 2024) 5M
8. Discuss dual nature of particle in quantum mechanics. (CBIT–2024) 2M
9. Discuss photoelectric effect. (CBIT–2024) 10M
10. Apply Schrodinger’s time independent wave equation and discuss the behavior of a particle in 1D potential box. (CBIT–2024) 10M
11. Describe Davisson–Germer experiment and state its importance. (CBIT–2024) 10M
12. Derive Schrodinger’s time independent wave equation. (CBIT–2024) 10M

Year-2023

1. What is a blackbody? (JNTUH–March 2023) 1M
2. Differentiate between classical and quantum mechanics. (JNTUH–Sep 2023) 1M
3. If the momentum of a particle is increased to four times, find the change in de-Broglie wavelength. (JNTUH–Sep 2023) 1M
4. Derive the time independent Schrodinger wave equation. (JNTUH–Sep 2023) 10M
5. Explain Davisson–Germer experiment and how it proves wave nature of electrons. (JNTUH–Sep 2023) 10M
6. Explain Stefan–Boltzmann law. (JNTUH–March 2023) 5M
7. Discuss Born interpretation of wave function. (JNTUH–March 2023) 5M
8. List the assumptions of Drude and Lorentz free electron theory. (JNTUH–March 2023) 5M
9. Explain Fermi–Dirac distribution of electrons. (JNTUH–March 2023) 5M
10. Summarize de-Broglie hypothesis of matter waves. (CBIT–March 2023) 2M
11. Develop Schrodinger time dependent wave equation. (CBIT–March 2023) 10M
12. Explain the physical significance of wave function Ψ. (CBIT–March 2023) 10M
13. Derive the expression for energy of a particle in infinite potential well. (CBIT–March 2023) 10M
14. Explain Heisenberg uncertainty principle and mention its significance. (CBIT–March 2023) 10M