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Jeremy c. zodinliana Asked a Question
March 19, 2022 6:36 pm 30 pts
10. The energy eigenvalue for a particle trapped in cubical box of Sidean the ground state (,1, ) 1s 27-h 3 3ma 27r h (a) - 2ma b) 2ma ma 11. The momentum eigenvalue for a particle trapped in aubical box of side a n the ground state (1, 1, 1) 5 a)- (b ( (d 12. The energy eigenvalue fora particle trapped in cubical DOx Or Siae d n the state (4, 1, ) 5 22 h (a) 2a 2ma ma ma 13. The momentum eigenvalue for a particle trapped in aubical box of side a in the state (2, 2,1) is rh a)- 9th d) (D) 14. Two or more quantum states of particle are said to be degenerate if they have same energy eigernvalue and same eigenfunction erenteneygeaues an ere nnctions ut differe ieualses hut same eieenfunction d) di erent ene 15. In case of a cubical box, the degeneracy for the ground state is a) (D)2 16. In case of a cubical box, the degeneracy tor the first excited state is c) 3 (d) 4 17. Total number of energy levels (or degeneracy) for the nth state of hydrogen atom is a) n b) n (c) n+1 (d) n+1 18. If E, E, and E, are the components of kinetic energy along8 X, Y- and -axes respectively, then total Kinetic energy (E) s (a) E E, t, * (6) E =E+B +E ( E=(E+E,+Ę* (d) E=E;+E,+EĘ)* 19. t p Py and P are the components of linear momentum aong *, T- and eaxes respectively, then total momentum is (a) p=P.t+P, *Pz b) p=p+r +P () p=(p+ +P (d) p=(PÍ+P+P 20. Ih case of a cubical box, for the first excited state, there are three sets of quantum numbers re, there 2,1,1 (d) 1, 1, 1; 2, 2, 2; 3,3, 3 (a) 1, 1, 1; 1,1,2: 1,2,2 (b) 1.1,2: 1.21: (c) 1,2, 2; 2,1, 2; 2,2, 1
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