Question

(i) An excited state electron drops down to the ground state and emits a photon of yellow light. If instead theelectron drops down to a lower excited state, then the light emitted would be
(ii) Which of the following transitions in hydrogen atom will have the longest wavelength?
(iii) The electron in a hydrogen atom is in the first excited state, When the electron acquires an additional 2.86 eV of energy, What is the quantum number, n, of the state into which the electron moves?
(iv) Calculate the energy required to excite a hydrogen atom by causing an electronic transition from the energylevel with n = 1 to the level with n=4

Answer 1

ΔE= R

H

(

n

1

2

1

−

n

2

2

1

)

E=

λ

hc

From the above formulae, the decreasing order of energy of transition is n=4ton=1, n=3ton=1, n=4ton=2, n=3ton=2. This should be the increasing order of wavelength. n=3ton=2 transition corresponds to the longest wavelength transition.