How Many Spectral Lines in the Balmer Series Exceed 400 nm?

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In the Balmer series, the spectral lines correspond to wavelengths greater than 400 nm, starting from n=3. The formula 1/lambda = R(1/2^2 - 1/n^2) can be used to calculate these wavelengths. Users can find that the wavelengths decrease as n increases, indicating fewer lines above 400 nm. It is suggested to calculate a few values of n to determine the number of spectral lines exceeding this wavelength. Ultimately, the series extends from n=2 to infinity, but only a limited number of calculations are necessary to answer the original question.
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Homework Statement



In the Balmer series, how many spectral lines have the wavelength greater than 400 nm?

Homework Equations



1/lambda= R(1/2^2-1/n^2)
lambda=wavelength
r=rhydberg constant 1.097x10^7
n= 3,4,5...
balmer series is visible light

The Attempt at a Solution



ok so i know the balmer series starts with 400 nanometers because its visible light, but i don't understand how to see how many spectral lines have wavelength greater.
 
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You could just look up the Balmer Series in a book or on the web and count them.
Or use the formula to calculate the wavelengths - put in n=3, calculate. Put in n=4, calculate. Pretty soon you will have all the wavelengths you need!
 
ok. but when i do the calculating up to what number do i go? because i thought it went from 2 on.
 
Yes, it does go on forever - 2 to infinity. But after calculating 2 or 3 wavelengths, you will see that you don't have to do very many of them the answer your question.
 
o ok i got it. wavelength decreases when you increase n
thanks appreciate your response
 

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