Find the ratio of energies of photons produced due to the transition of an electron of a 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 the transition of an electron of a 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: 2 (B) 2: 3 (C) 1: 4 (D) 3: 4

Tardigrade Admin · Accepted Answer

The change in energy for transition second permitted energy level to the first level

= E_{2} - E_{1}

The energy of the photon produced

= \frac{- 13.6 e V}{2 ^{2}} - \frac{- 13.6 e V}{1 ^{2}} = - 3.4 + 13.6 = 10.2 e V

(b)The highest permitted energy level to the first permitted level

= E_{\infty} - E_{1}

= 0 - (- 13.6) = 13.6 e V

∴

The ratio of energies of photon

= \frac{10.2}{13.6} = \frac{3}{4}

= 3 : 4

Q. Find the ratio of energies of photons produced due to the transition of an electron of a 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.

$3 : 2$

$2 : 3$

$1 : 4$

$3 : 4$

Q. Find the ratio of energies of photons produced due to the transition of an electron of a 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.

3:2

2:3

1:4

3:4

Q. Find the ratio of energies of photons produced due to the transition of an electron of a 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.

$3 : 2$

$2 : 3$

$1 : 4$

$3 : 4$