The ratio of energies of photons produced due to the transition of an electron of hydrogen atom from its

i. second permitted energy level to the first level and
ii. the highest permitted energy level to the first energy level is

3 : 4

The correct answer is Option (2) → 3 : 4

According to Bohr Model of hydrogen Atom -

$E_n=-\frac{13.6}{n^2}eV$

$E_n$ → Energy at level n.

$n$ → Principle Quantity Number

$ΔE_{2→1}=E_1-E_2$

$=(-13.6)-(-3.4)=10.2eV$

$ΔE_{∞→1}=E_1-E_∞$

$=(-13.6)-0=13.6eV$

Ratio of energies: $\frac{ΔE_{2→1}}{ΔE_{∞→1}}=\frac{10.2}{13.6}=0.75$