The visible region of the hydrogen spectrum results from relaxation of electrons

Question

The visible region of the hydrogen spectrum results from relaxation of electrons from excited states to energy level 2. Use the Rydberg equation and your measured wavelengths to determine the energy transitions associated with each of your observed wavelengths for hydrogen. In other words, calculate the excited state energy level (n_2) for each of your observed wavelengths for hydrogen, n has integer values; so, calculate it first with appropriate significant digits, then round it to an integer.

Explanation / Answer

Rydberg's equation,

1/wavelength (l) = R(1/n1^2 - 1/n2^2)

with,

R = Rydberg's constant = 1.097 x 10^7 m-1

n1 = 2

n2 = 3,4,5,6.. (excited state)

with n1 = 2, this is Balmer series of spectrum for hydrogen atom.

Feeding the value of n1 and wavelength (l) we can gett he value of the excited state n2 from the above Rydberg's relation.

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