The energy change is greatest for a hydrogen atom when its state changes from

For–H–atoms
n = 5 ________ –0.54ev
n = 4 ________ –0.85ev
n = 3 ________ –1.51ev
n = 2 ________ –3.4ev
n = 1 ________ –13.6ev
According to options:–1) n = 2 to n = 1
1) $\therefore$ ($∆$E) = (-3.4) - (-13.6) = 10.2eV
2) $∆$E =  (-1.51) - (-3.4) = 1.89eV
3) $∆$E  = (-0.85) - (-1.51) = 0.66eV
4) $∆$E = (-0.54) - (-0.85) = 0.306eV
$\therefore$Energy change is highest in 1st option.