The emission spectrum of hydrogen contains a few lines. The energy ($\Delta E$) of one of the lines is $0.4578 \times 10^{-18}J$. The $n_1$ and $n_2$ belonging to this line are respectively
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{Hydrogen Spectral Series:}
$n_1=1$: Lyman (UV)
$n_1=2$: Balmer (Visible)
$n_1=3$: Paschen (IR)
Calculations are faster if you memorize $1/2^2 = 0.25$, $1/3^2 \approx 0.11$, $1/4^2 \approx 0.06$, $1/5^2 = 0.04$.