MasteringPhysics: Homework 12 Google Chrome P https:// session. masteringphysics
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MasteringPhysics: Homework 12 Google Chrome P https:// session. masteringphysics.com /myct/itemView ?assignment ProblemID 59361577 C www.chegg.com Signed in as Mark Szkolnicki Help l Close PHY122 Physics for the Life Sciences ll Spring 2016 e Chegg Study ME Homework 12 Problem 28.37 Resources v previous l 21 of 24 l next home study science physics questions and a Problem 28.37 Question Part A What is the length of one- dimensional box What is the length of a one-dimensional box in which an electron in the n 1 state has the same energy as a photon with a wavelength of 800 nm photon with a wavelength of500 nm? Express your answer using three significant figures. Answer should be nm Comment Esa Best Answer 426 nmn martina 1985 answered this 9 m Submit My Answers Give U 4,206 answers Wavelength of the photon is Incorrect: Try Again: 5 attempts remaining Energy in one dimen Continue Provide Feedback 6.62. 0.38 10 0.38 n m Hide comments (2) Comments 5:57 PM I'm Cortana. Ask me anything 4/25/2016Explanation / Answer
Energy of photon, E = h*frequency = h*c/Wavelength
Energy of electron in a one -D box is , E = n^2*h^2/8mL^2
So, we have
h*c/Wavelength = n^2*h^2/8mL^2
L^2 =[ n^2*h^2/8m*h*c] * Wavelength
L^2 =( 6.6*10^-34/ 8*9.1*10^-31*3*10^8) * 800*10^-9 24
L = 4.916 /10 = 0.4916 nm