A free electron of 2.6 eV2.6 eV energy collides with a H+H+ ion. This results in the formation of a hydrogen atom in the first excited state and a photon is released. Find the frequency of the emitted photon. (h=6.6×10−34 J s)ℎ=6.6×10-34 J sYou Marked | Incorrect AnswerA
Question
A free electron of 2.6 eV2.6 eV energy collides with a H+H+ ion. This results in the formation of a hydrogen atom in the first excited state and a photon is released. Find the frequency of the emitted photon. (h=6.6×10−34 J s)ℎ=6.6×10-34 J sYou Marked | Incorrect AnswerA
Solution
The energy of a free electron is given as 2.6 eV.
1 eV = 1.6 x 10^-19 Joules
So, 2.6 eV = 2.6 * 1.6 x 10^-19 = 4.16 x 10^-19 Joules
The energy of the first excited state of a hydrogen atom is -3.4 eV.
So, -3.4 eV = -3.4 * 1.6 x 10^-19 = -5.44 x 10^-19 Joules
The energy of the photon released is the difference between the energy of the free electron and the energy of the first excited state of the hydrogen atom.
So, Energy of photon = 4.16 x 10^-19 - (-5.44 x 10^-19) = 9.6 x 10^-19 Joules
The frequency of the photon can be calculated using the formula E = h * f, where E is the energy of the photon, h is Planck's constant, and f is the frequency of the photon.
So, f = E / h = 9.6 x 10^-19 / 6.6 x 10^-34 = 1.45 x 10^15 Hz
Therefore, the frequency of the emitted photon is 1.45 x 10^15 Hz.
Similar Questions
10. If an electron jumps from second orbit to first orbit in hydrogen atom, it emits photon of
A difference of 2.3 eV separates two energy levels in an atom. Whatis the frequency of radiation emitted when the atom make atransition from the upper level to the lower level?
Monochromatic radiation emitted when electron on hydrogen atom jumps from first exited to the grounds state irradiates a photosnesitive material. The stopping potential is measured to be 3.57V. The threshold frequency of the material is :A1.6×1015HzCorrect AnswerB2.5×1015HzYour AnswerC4×1015HzD5×1015Hz
Determine the frequency of ultra-violet light that has an energy of 2.39×10−18 J
Monochromatic light of frequency 6×1014 Hz is produced by a laser. The power emitted is 2×10−3 W. How many photons per second on an average, are emitted by the source ?
Upgrade your grade with Knowee
Get personalized homework help. Review tough concepts in more detail, or go deeper into your topic by exploring other relevant questions.