Find the ratio of energies of photons produced due to transition of an election of hydrogen atom from its(i) second permitted energy level to the first level, and (ii) the highest permitted energy level to the first permitted level.

Question

Find the ratio of energies of photons produced due to transition of an election of hydrogen atom from its(i) second permitted energy level to the first level, and (ii) the highest permitted energy level to the first permitted level. (A) 3: 4 (B) 4: 3 (C) 1: 4 (D) 4: 1

Tardigrade Admin · Accepted Answer

E n =(-13.6/ n 2) ev ⇒ ( E 2- E 1/ E ∞- E 1)=(13.6(1-(1/4))/13.6)=(3/4)

Q. Find the ratio of energies of photons produced due to transition of an election of hydrogen atom from its(i) second permitted energy level to the first level, and (ii) the highest permitted energy level to the first permitted level.

$3 : 4$

$4 : 3$

$1 : 4$

$4 : 1$

$E_{n} = \frac{- 13.6}{n ^{2}} e v$
$\Rightarrow \frac{E _{2} - E _{1}}{E _{\infty} - E _{1}} = \frac{13.6 ( 1 - \frac{1}{4} )}{13.6} = \frac{3}{4}$