Question

To take the moving nucleus into account in the Bohr theory we replace mass of electron with reduced mass. Determine the corrected values of wavelength for the transition n = 3 to n = 2 taking nuclear motion into account for deuterium, 2H. (use combination constants, write answer in nm and three decimal place)..

answer this quastion please

Answer 1

we are given that

initial orbit of electon = ni = 3

final orbit of electron = nf= 2

also we are know that

c = 310⁸ ms

h= 6.6210^-34JS

we want to calculate the freqency , wavelenght , and the emitted photon when the atoms

makes a transition from n_i =3 to n_f= 2

frequency of the emitted photon can be calculated by using the following eq.

E = hf

f= E/h

lets first calculate E by using the relation

E= -13.6 [1/nf²-1/ni²]ev

= -13.6 [1/2²-1/3²]ev

=-13.6[1/4-1/9]ev

=-13.65/36ev

= 1.88ev

thus frequency of photonwill be

f= E/h

1.88ev/6.6210^-34js

1.881.610^-19j/6.6310^-34js

f = 4.510¹⁴ hz

wavelenght of the emitted photon can be calculate by using the following eq.

c = f

= c/f

= 310⁸ms^-1/ 4.510¹⁴hz

=66710^-7m

= 668nm

this is the wavelenght