Quantum Mechanics Questions and Answers | Notes

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Quantum Mechanics Questions and Answers in PDF

1. What do you understand by matter waves? Or Discuss the concept of de-Broglie matter waves.
2. Define group velocity and particle velocity regarding a group wave. Or Define particle velocity, group velocity, and phase velocity.
3. Derive the mathematical expression for group and phase velocity.
4. Show that the phase velocity of matter waves exceeds the velocity of light.
5. Give the relation between group velocity and particle velocity. Or Shoe that the group velocity of matter waves equals particle velocity. Or Establish a relation between particle and group velocities.
6. Show that for non-relativistic free particles the phase velocity is half of the group velocity.
7. Show that group velocity is less than the phase velocity in a dispersive medium.
8. Explain the Heisenberg uncertainty principle with an example. Or Prove that electrons do not exist inside the nucleus using the uncertainty principle.
9. Explain the Heisenberg uncertainty principle with an example. Or Derive Heisenberg principle from the hypothetical gamma-ray microscope.
10. Explain the diffraction of electrons by a single slit to illustrate the Heisenberg uncertainty principle.
11. Explain the Heisenberg uncertainty principle and give an elementary proof for it.
12. What do you understand by a wave function, discuss its physical significance?
13. What is meant by operators? Get an operator for the energy “E” and momentum “P”.
14. Derive Schrödinger’s time-independent wave equation.
15. Derive Schrödinger’s time-dependent wave equation.
16. Get energy level for a particle trapped in an infinitely deep square potential well.

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Unit 1 - Quantum Mechanics Questions and Answers