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Mitchtwitchita
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Homework Statement
The hydrogen spectrum contains a blue line with a wavelength of 434 nm. Photons of blue light are emitted when hydrogen's electron drops from the fifth energy level to a lower energy level. What is the lower energy level?
Homework Equations
1/lambda = R[1/m e2 - 1/n e2]
The Attempt at a Solution
1/4.34 x 10 e-7 m = 1.097 x 10 e7 m e-1 [1/m e2 - 1/5 e2]
1/4.34 x 10 e-7 m [1/m e2 - 1/25] = 1/1.097 x 10 e7 m
1/[1/m e2 - 1/25] = 4.34 x 10 e-7m/1.097 x 10 e7
1/m e2 - 1/25 = 1.097 x 10 e7/4.34 x 10 e-7 + 1/25
n e2 = 4.34 x 10 e-7/1.097 x 10 e7 + 25/1
=3.96 x 10 e-14 + 25
=25
n = 5
Grrrrr! I keep getting n = 5 and I don't know what I'm doing wrong. Can anybody please help me?