Question

multiple choice

An electron in a certain atom could move from the ground state (E=E_O) 10 points to the first excited state (E=E_1) inside an infinite well by absorbing photon with wavelength 1. If while in this excited state a photon the wavelength N2 is sent to the electron to be absorbed, to which energy state will the electron move? (Hint: energy of a photon is given by E=hf=hd where c is the speed of light) O E 2 O 03 The electron stays at 1.1 O Between E_2 and E_3

Answer 1

In a infinite well, the energy in nth State is given by, En = to’n’enui . Consiga 2 m 2 where, no n=1 ground stale 1st Excited state 66 cat ²2 2mL² and so on... - to Now, Eo=co E, = 40 : AE, (Energy diff. blw I ando)46-so =30 When photon of wavelength a is jumped to the 1st Excited state. : 36 h absorbed, election - for / pleton - Esença 66 Now to jump into next level lie and excited State] spanten Energy required a E₂-E, - 9 Co - 460 = 560 or to juntp to 3rd Excited state - Energy required= Ez-Ex = 16 co-460=120 since these Energy difference is not Equel to the of the photon Election will not absorb the photon herg

And will stay in the first Excited state, to get the Election to higher Energy level, we I need the photon's energy to exactly match the Energy difference between the levels. Ti Electron will stay at Eil