Five possible transitions for a hydrogen atom are listed below: Select whether t

Question

Five possible transitions for a hydrogen atom are listed below: Select whether the atom gains or loses energy for each transition.

Loses: ni = 7; nf = 4
Loses: ni = 7; nf = 3
Gains: ni = 3; nf = 6
Gains: ni = 2; nf = 5
Loses: ni = 4; nf = 3

Find the transition where the atom gains the most energy. How much energy does the atom gain?

Find the transition which will emit the shortest wavelength photon. What is the energy of the photon of this transition?

Explanation / Answer

From the given data, we can say that the final state is greater than the initial state then atom will gain energy.

Loses energy: ni = 7; nf = 4
Loses energy: ni = 7; nf = 3
Gains energy : ni = 3; nf = 6
Gains energy : ni = 2; nf = 5
Loses energy : ni = 4; nf = 3

a)

The transition where the atom gains the most energy. How much energy does the atom gain is given by

E =13.6eV(1/ni2-1/nf2) for the transition is from 2 to 5 is

=13.6eV(1/4-1/25) =2.86eV

b)

The  transition which will emit the shortest wavelength photon. What is the energy of the photon of this transition is given by the shortest wavelength photon is the transistion has the greatest energy losss.

Which is : ni = 7; nf = 3

The Energy lost is given by E =13.6eV(1/49 -1/9)=-1.2336eV

Therefore the energy of photon is E =1.234eV

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