The wavelength of light for the least energetic photon emitted in the Lyman series of the hydrogen atom spectrum is
Least energy is the cue my friend.
Energy is hcλ
Least energy means hcλ should be less. hc is constant
So 1λ should be less
By Rydberg’s formula; 1λ=R(1n21−1n22)
For Lyman, n1=1
→1λ=R(11−1n22)
n2 can be from 2, …. ∞
To minimize 1λ what should be n2
2 right and not α
So Let’s find λ
1λ=R(34)λ=43R=43×1.09×107=1.22×10−7=122 nm