Question

Question # 1: Find the unit of energy in the energy expression of a free particle in 1-D box: Question # 2: A proton in a box is in a state n = 5 falls to a state n = 4 and loose energy with a wavelength of 2000 nm, what is the length of the box? (answer: 4 x 10 m) Question # 3: a. Consider an electron confined to move in an atom in one dimension over a distance of 2X. Neglecting the potentials due to other electrons and nuclei for the moment, calculate the energy levels of the electron me = 9.11 x 10-31kg. b. Consider a cricket ball of mass 250g confined to move in a field of length 20m and ignore gravitation and all other potentials. Calculate the energy levels of the cricket ball. (Answer: (a) En = 1.506 x 10-18 m? J: (b) En = 0.549 x 10-69 n? J) Question # 4: Assume that an electron is confined to a 1D box 1.50 nm in length. Calculate the lowest three energy levels for this electron, and calculate the wavelength of light necessary to promote the electron from the ground state to the first excited state. (Answer: E1 = 2.68 x 10-20 J: E2 = 1.07 x 10-19 J; Ez = 2.41 x 10-19 J: 1 = 2.47 x 106m = ? nm)

Answer 1

In number im numb m wwel n m 2000 X 10.9 m a dx10-6 m g & mir " Energy ! 9h2 8m2 IN-6 & m12 ah 2x10rb - 3.0x108 4m 22 2006 Le 108 9 x 6.624 x 10334 x 10-6 4x 1.x 103 IXS:0X108 9 x 6.627 X 10.40 012 9.11 X 10-23 sub 8 10 18 = 12 Or; 1 8-39 X 10 m

This should he is 9 should be calculated answers did not like this. I'm not sure why match you can check again using the same way authon 3 n aiven; me 1= 2x10 10 m att 9:11 * 10-91 Kg :: no quant un no or, Enem?16.627 % 10-34) 889 11 810-31x UX 10-20 En n ² (6.627) ² x 10-68 2.91% 10-49 m2 x 15.09 x 10-19 n² * 1.509810-18 Ji b. aiven 1 L = 20 m m = 250 g = 0.25 kg or; En 8m 22 n?. (6.6 247² x 10-66 8x 0.25 * (20)2 5.49x 10-90 m² I 0.549x 10-69 m². J Or En = or En = a is not quant um object, Note : a cricket ball The sole purpose of this problem is for the students to realise the diff between Classical & quantum behaviour.

Question & 1.1. у 10-1 м - 1Б, 100 м 4 . 9. 4. 1x 10 - 1x 2131 10-10 .. \ 6-12 ), 10-14 8x411x 125 х 10-s : " : что-20 т . Е : 4 : 102x 10-15 - Е, с. 241 х 10-11 Energy required for promotion & & 2 & - (- 3 1 - 1 . 2-10-20 ) - 1 - 2 0 -20 - 1.x to: 1) з of AF 01. a be the wavelngth; AE he . 1ay 10:34, 3 охо". 2. b 2 х 10-20 2. 24. 110-4 m : 2 х 10° x 1 - 4 m - диао и т.

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