An electron is trapped in an infinite square well 20 wide. Find the wavelengths

Question

An electron is trapped in an infinite square well 20 wide. Find the wavelengths of the photons emitted in these transitions:

Part A: n=2, n=1 Lamda = ........................................ mm Part B: n=20, n=19 Lamda = ........................................ µm Part C: n=100, n=1 Lamda = ........................................ nm thanks heaps will rate lifesaver Part A: n=2, n=1 Lamda = ........................................ mm Part B: n=20, n=19 Lamda = ........................................ µm Part C: n=100, n=1 Lamda = ........................................ nm thanks heaps will rate lifesaver Lamda = ........................................ µm Part C: n=100, n=1 Lamda = ........................................ nm thanks heaps will rate lifesaver

Explanation / Answer

the energy of the electron in an infinite squarewell width L is E = (nh)^2/8mL^2 ---------------------(1) here h = plank's constant    m = mass of the electron L = 20 ( you have not specified unit like nm, mm..) we know that E = hc/?, ? ? = hc/E -----------------(2) -------------------------------------- for n=1 E1 = h^2/8mL^2 for n = 2 E2 = 4 h^2/8mL^2 ?E = E2-E1     = 3 h^2/8mL^2 therefore ? = hc/?E substetude these values we get the answer. ------------------------------------- all the above same like that...

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