If our eyes could see a slightly wider region of the electromagnetic spectrum, we would see a fifth line in the Balmer series emission spectrum. Calculate the wavelength λ associated with the fifth line.
Express your answer with the appropriate units.

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Use the rydberg equation 

1/wavelength = 109677[ 1/n one square - 1/n two square ] 109677 is in cm inverse 

for balmer series n one = 2 and for the fifth line n two = 7 

putting them in the equation we get 

= 397 nm 

lies in the violet region of light
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