12) A photon with wavelength is absorbed byan electron confined to a box. As a r
ID: 1679585 • Letter: 1
Question
12) A photon with wavelength is absorbed byan electron confined to a box. As a result, the electron moves fromstate n = 1 to n = 7. (a) Find the length of the box. Express yourresult using h, m, c, and lambda to represent Planck's constant,the electron's mass, the speed of light, and ,respectively.(b) What is the wavelength of the photonemitted in the transition of that electron from the staten = 7 to the state n =2? Express your result using the same variables specified in theprevious part.
(a) Find the length of the box. Express yourresult using h, m, c, and lambda to represent Planck's constant,the electron's mass, the speed of light, and ,respectively.
(b) What is the wavelength of the photonemitted in the transition of that electron from the staten = 7 to the state n =2? Express your result using the same variables specified in theprevious part.
Explanation / Answer
Energy of the electron can be expressed :. E=(nh)^2/(8ml^2). where n be the state of the electron. energy is conserved. so K+E(1)=E(7). so K=48h^2/(8ml^2)=6h^2/ml^2. K :energy of the proton so, K=hc/. so hc/=6h^2/ml^2. so =(hcml^2)/(6h^2). =(mcl^2)/(6h) ------------------ we have that. hc/=E(7)-E(1). and hc/'=E(7)-E(2). hc/=48*E(1). and hc/'=45E(1). so '=48/45
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