Please help with all parts of the question thank you! Five possible transitions

Question

Please help with all parts of the question thank you!

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


Loses

Gains
  ni = 2; nf = 5

Loses

Gains
  ni = 7; nf = 3

Loses

Gains
  ni = 4; nf = 6

Loses

Gains
  ni = 4; nf = 3

Loses

Gains
  ni = 7; nf = 3

Tries 0/10

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

Tries 0/10

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

Explanation / Answer

When an electron gains energy, it moves into a higher energy level from lower energy level.
When an electron loses energy, it moves from a higher energy level to a lower energy level.

(a)
ni = 2; nf = 5
Moving from lower to Higher, Gains Energy.

(b)
ni = 7; nf = 3
Moving from Higher to Lower, Loses Energy.

(c)
ni = 4; nf = 6
Moving from lower to Higher, Gains Energy.

(d)
ni = 4; nf = 3
Moving from Higher to Lower, Loses Energy.

(e)
ni = 7; nf = 3
Moving from Higher to Lower, Loses Energy.


Transition where atom gains most Energy is,   ni = 2; nf = 5

Energy gained, E = - (13.6 eV) [1/nf2 - 1/ni2]
E = - (13.6 eV ) * [ 1/7^2 - 1/3^2]
E = 2.856 eV

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