An excited hydrogen atom returns to ground state. The wavelength of emitted photon is λ The principal quantum number of the excited state will be
1λR(λR−1)1/2
λR−1λR1/2
[λR(λR−1)]1/2
λRλR−11/2
we know that 1λ=R112−1n2 or 1n2=1−1λR=λR−1λR or n=λRλR−11/2