While studying the particle in a box in this chapter, you CR come up with what...
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5. Consider a particle in the first excited state ofa rigid box of length a. (a) Find the probability density (b) where is the particle most likely to be found? 6. Determine the wavelength of the photon emitted when an electron in a hydrogen atom makes transition from the 5 excited state to the following states (a) ground state (b) 1 excited states (c) 2 excited state Determine whether the emission is visible, uv or infrared...
An electron in an excited state of a hydrogen atom emits two photons in succession, the first at 2624 nm and the second at 97.20 nm, to return to the ground state (n=1). For a given transition, the wavelength of the emitted photon corresponds to the difference in energy between the two energy levels. What were the principal quantum numbers of the initial and intermediate excited states involved?
The wavefunctions for a particle in a box are given by: ψn(x) = (2/L)^1/2 sin(nπx/L), with n=1,2,3,4. . . . Let’s assume an electron is trapped in a box of length L = 0.5 nm. (a) Light of what wavelength is needed to excite the electron from the ground to the first excited state? (b) Will that wavelength increase or decrease, if you exchange the electron with a proton? Why?
An electron in the hydrogen atom make a transition from the ground state to an excited level by absorbing energy from a photon. The wavelength of the photon is 95.0 nm. What is the final level that the electron can reach?
Suppose that an electron is trapped in a one- dimensional, infinite potential well of width 250 nm is excited from the 2nd excited state to the fifth excited state. What energy must be transferred to the electron in order to make this transition? Answer: 1.62 x 10^-4 eV Check Correct Marks for this submission: 2.00/2.00. What wavelength photon does this correspond to? Answer: 75.15*10^-4m Check Considering all of the possible ways that the excited electron can de-excite back down to...
2. (a) When a particle of mass 1.0 x 10-26 g in a one-dimensional box goes from the n=3 level to n=1 level, it emits a radiation with frequency 5.0 x 1014 Hz. Calculate the length of the box. (b) Suppose that an electron freely moves around inside of a three-dimensional rectangular box with dimensions of 0.4 nm (width), 0.4 nm (length), and 0.5 nm (height). Calculate the frequency of the radiation that the electron would absorb during its transition...
3 attempts left Check my work Enter your answer in the provided box. What is the value of n for an electron that emits a photon of wavelength 92.69 nm when it returns to the ground state in the H atom?
The hydrogen atomic emission spectrum includes a UV line with a wavelength of 92.323 nm. Photons of this wavelength are emitted when the electron transitions to n_t = 1 as the final energy state. Is this line associated with a transition between different excited states or between an excited state and the ground state? different excited states between an excited state and the ground state What is the energy of the emitted photon with wavelength 92.323 nm? What was the...
3 attempts left Check my work Enter your answer in the provided box. Re What is the value of n; for an electron that emits a photon of wavelength 92.69 nm when it returns to the ground state in the H atom? Gui
An electron in a 10.1-nm one-dimensional box is excited from the ground state into a higher-energy state by absorbing a photon of electromagnetic radiation with a wavelength of 13,950 nm. Determine the final energy state for this transition. 04 0 0 w Na Un 0 0 1 pts Question 24