Photons of light with an energy of 122 nm are being directed through a chamber o
ID: 494309 • Letter: P
Question
Photons of light with an energy of 122 nm are being directed through a chamber of hydrogen gas atoms. the gas atoms began in their ground state (n_i = 1) and, after interacting with these photons, some move to (n_i = 2). Which of the following statements is true? If photons with a slightly longer wavelength had been used, such as 128 nm, more electrons would have moved to n = 2. Photons will eventually be emitted and their wavelength will also be 122 nm. If photons with a slightly shorter wavelength had been used, such as 118 nm. more electrons would have moved to n = 2. the electrons are now "trapped" in the n = 2 electronic energy level and will stay there.Explanation / Answer
Photons of light with an energy of 122 nm are being directed through a chamber of hydrogen gas atoms. The gas atoms began in their ground state (ni=1) and, after interacting with these photons, some move to (ni=2).
Which of the following statements is true?
answer
Photons will eventually be emitted and their wavelength will also be 122 nm.
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En = (-13.6 eV)/n2
E2 = (-13.6 eV)/4 = -3.4 eV
E1 = (-13.6 eV)/1 = -13.6 eV
In dropping from the n = 2 state to the ground state the electron loses 10.2 eV worth of energy.
Converting this to joules gives
E = 10.2 * 1.60 x 10-19 J/eV = 1.632 x 10^-18 J
For a photon E = hf = hc/
= hc/E = 6.63 x 10-34 * 3 x 108 / 1.632 x 10-18
= 1.22 x 10-7 m = 122 nm------------ANSWER
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