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**1. 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 engery level to a lower energy level. What is the lower energy level?

Given

Wavelength = 434 nm

n1 = 5

n2 = ?

R = 1.097 x 10^7 m^-1 (which i am not sure what this means or how to apply it but anyways)

**2. Homework Equations**

1/wavelength = R [ 1/n2^2 - 1/n1^2]

**3. The Attempt at a Solution**

1/434 = (1.097 x 10^7 m^-1) [1/n2^2 - 1/5^2]

1/434 = (1.097 x 10^7 m^-1) [1/n2^2 - 1/25]

0.0023 = (1.097 x 10^7 m^-1) [1/n2^2 - 0.04]

0.0023 / (1.097 x 10^7 m^-1) = [1/n2^2 - 0.04]

((0.0023 / (1.097 x 10^7 m^-1)) +0.04 = 1/n2^2

AND now im totally lost because it doesnt make any sense.. plug those values into your calculator and i get the exaxt same number for n2 as i started with n1 jeez!! SOMEONE HELP!!