Find the wavelength of the Balmer series spectral line corresponding to n = 12.

The wavelength of the Balmer series spectral line corresponding to n = 12 is 375 nm.

Explanation:

let λ be the wavelrngth of the spectral line.

let ni be the initial energy state, for Balmer series, ni = 4.

let nf be the final energy level, n = 12.

Balmer series states the following:

1/λ = R[1 / (ni) ^2 - 1 / (nf^2))

λ = 1/[R[1 / (ni) ^2 - 1 / (nf^2)) ]

= 1/[ (1.09737*10^7) * [1 / (4) ^2 - 1 / (12^2)) ]

= 375 nm

Therefore, the wavelength of the Balmer series spectral line corresponding to n = 12 is 375 nm.