Question

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

Answer 1

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

Step-by-step 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.