5. When a particle of mass 9.1 X 10-28 g in a certain one-dimensional box goes from the n = 5 level to the n=2 level, it emits a photon of frequency 6.0 X 1014 s¹. Find the length of the box.

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5. When a particle of mass9.1×10−28 gin a certain one-dimensional box goes from then=5 level to then=2level, it emits a photon of frequency6.0×1014 s−1. Find the length of the box.

6. IfA=d2/dxx2andB^=x2, find (a)A^B^x3;(b)BA^x3

7. Evaluate[d/dx,d2/dx2]

8. Which of the following functions are eigenfunctions ofd2/dx2q(a)x2( b)sinx

5. When a particle of mass 9.1 X 10-28 g in a certain one-dimensional box goes from the n =
5 level to the n=2 level, it emits a photon of frequency 6.0 X 10¹4 s¹. Find the length of
the box.
6.
If A=d²/dx² and B= x², find (a) ABx³; (b) BAX³
7. Evaluate [d/dx, d²/dx²]
8. Which of the following functions are eigenfunctions of d²/dx²? (a) x² (b) sin x
Transcribed Image Text:5. When a particle of mass 9.1 X 10-28 g in a certain one-dimensional box goes from the n = 5 level to the n=2 level, it emits a photon of frequency 6.0 X 10¹4 s¹. Find the length of the box. 6. If A=d²/dx² and B= x², find (a) ABx³; (b) BAX³ 7. Evaluate [d/dx, d²/dx²] 8. Which of the following functions are eigenfunctions of d²/dx²? (a) x² (b) sin x
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