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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?