Subjective / Written Questions (25)
1. Critically analyse Mathematical methods, deriving the central result and stating the assumptions under which it holds. / Mathematical methods का critical analysis कीजिए, central result derive करते हुए validity की assumptions बताइए।
2. Compare Lagrangian and Hamiltonian mechanics with a closely related concept and explain the decisive mathematical/experimental distinction. / Lagrangian and Hamiltonian mechanics की closely related concept से तुलना करके निर्णायक mathematical/experimental distinction समझाइए।
3. Formulate a difficult postgraduate problem based on Maxwell equations and outline the rigorous reasoning required to solve it. / Maxwell equations पर आधारित कठिन postgraduate problem formulate करके उसे solve करने की rigorous reasoning बताइए।
4. Evaluate the limitations of standard treatments of Quantum mechanics I and explain when an alternative approach is justified. / Quantum mechanics I के standard treatment की limitations तथा alternative approach की आवश्यकता का मूल्यांकन कीजिए।
5. Explain the deeper theoretical significance of Vector and tensor methods and connect it with another major idea in the semester. / Vector and tensor methods के deeper theoretical significance को समझाते हुए उसे semester की दूसरी प्रमुख idea से जोड़िए।
6. Critically analyse Quantum mechanics II, deriving the central result and stating the assumptions under which it holds. / Quantum mechanics II का critical analysis कीजिए, central result derive करते हुए validity की assumptions बताइए।
7. Compare Gibbs ensembles with a closely related concept and explain the decisive mathematical/experimental distinction. / Gibbs ensembles की closely related concept से तुलना करके निर्णायक mathematical/experimental distinction समझाइए।
8. Formulate a difficult postgraduate problem based on Bose-Einstein statistics and outline the rigorous reasoning required to solve it. / Bose-Einstein statistics पर आधारित कठिन postgraduate problem formulate करके उसे solve करने की rigorous reasoning बताइए।
9. Evaluate the limitations of standard treatments of Fermi-Dirac statistics and explain when an alternative approach is justified. / Fermi-Dirac statistics के standard treatment की limitations तथा alternative approach की आवश्यकता का मूल्यांकन कीजिए।
10. Explain the deeper theoretical significance of Fluctuation-dissipation theorem and connect it with another major idea in the semester. / Fluctuation-dissipation theorem के deeper theoretical significance को समझाते हुए उसे semester की दूसरी प्रमुख idea से जोड़िए।
11. Critically analyse Fokker-Planck equation, deriving the central result and stating the assumptions under which it holds. / Fokker-Planck equation का critical analysis कीजिए, central result derive करते हुए validity की assumptions बताइए।
12. Compare Semiconductor diodes with a closely related concept and explain the decisive mathematical/experimental distinction. / Semiconductor diodes की closely related concept से तुलना करके निर्णायक mathematical/experimental distinction समझाइए।
13. Formulate a difficult postgraduate problem based on Transistors and FETs and outline the rigorous reasoning required to solve it. / Transistors and FETs पर आधारित कठिन postgraduate problem formulate करके उसे solve करने की rigorous reasoning बताइए।
14. Evaluate the limitations of standard treatments of Feedback amplifiers and explain when an alternative approach is justified. / Feedback amplifiers के standard treatment की limitations तथा alternative approach की आवश्यकता का मूल्यांकन कीजिए।
15. Explain the deeper theoretical significance of Atomic fine structure and connect it with another major idea in the semester. / Atomic fine structure के deeper theoretical significance को समझाते हुए उसे semester की दूसरी प्रमुख idea से जोड़िए।
16. Critically analyse LS and JJ coupling, deriving the central result and stating the assumptions under which it holds. / LS and JJ coupling का critical analysis कीजिए, central result derive करते हुए validity की assumptions बताइए।
17. Compare Zeeman and Stark effects with a closely related concept and explain the decisive mathematical/experimental distinction. / Zeeman and Stark effects की closely related concept से तुलना करके निर्णायक mathematical/experimental distinction समझाइए।
18. Formulate a difficult postgraduate problem based on ESR and NMR and outline the rigorous reasoning required to solve it. / ESR and NMR पर आधारित कठिन postgraduate problem formulate करके उसे solve करने की rigorous reasoning बताइए।
19. Evaluate the limitations of standard treatments of Rotational-vibrational spectra and explain when an alternative approach is justified. / Rotational-vibrational spectra के standard treatment की limitations तथा alternative approach की आवश्यकता का मूल्यांकन कीजिए।
20. Explain the deeper theoretical significance of Raman spectroscopy and connect it with another major idea in the semester. / Raman spectroscopy के deeper theoretical significance को समझाते हुए उसे semester की दूसरी प्रमुख idea से जोड़िए।
21. Critically analyse Molecular electronic spectra, deriving the central result and stating the assumptions under which it holds. / Molecular electronic spectra का critical analysis कीजिए, central result derive करते हुए validity की assumptions बताइए।
22. Compare Franck-Condon principle with a closely related concept and explain the decisive mathematical/experimental distinction. / Franck-Condon principle की closely related concept से तुलना करके निर्णायक mathematical/experimental distinction समझाइए।
23. Formulate a difficult postgraduate problem based on Quantum perturbation methods and outline the rigorous reasoning required to solve it. / Quantum perturbation methods पर आधारित कठिन postgraduate problem formulate करके उसे solve करने की rigorous reasoning बताइए।
24. Evaluate the limitations of standard treatments of X-ray spectra and explain when an alternative approach is justified. / X-ray spectra के standard treatment की limitations तथा alternative approach की आवश्यकता का मूल्यांकन कीजिए।
25. Explain the deeper theoretical significance of Selection rules and connect it with another major idea in the semester. / Selection rules के deeper theoretical significance को समझाते हुए उसे semester की दूसरी प्रमुख idea से जोड़िए।