An electron in the Hydrogen atom is in the excited state with energy E2. a) According...
An electron in the Hydrogen atom is in the excited state with energy E2.
a) According to the Bohr model, what is the radius of the atom in this state, in Angstroms?
b) What is the wavelength le of the electron, in Angstroms?
c) What is the momentum of the electron, in kg-m/s ?
d) This atom decays from the excited state with energy E2 to the ground state with energy E1 . What is the energy of the emitted photon?
e) What is the frequency f , in Hz, of the emitted electromagnetic waves?
f) What is the wavelength lEMof the emitted electromagnetic waves in Angstroms?
Given: 1 Rydberg / h = 3.3 × 1015 Hz. Take h / 2p = 10-34 erg s.
Homework Answers
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An electron in the Hydrogen atom is in the excited state with
energy E2.
a) According...
3 (b) The energy of a Bohr atom in the n-th excited state is given by the formula E--a2mc2 2,7, where α-e2/(4πέρ,10hc)-1 /137, m is the electron mass and e denotes the electron electric charge. i) Wh...
3 (b) The energy of a Bohr atom in the n-th excited state is given by the formula E--a2mc2 2,7, where α-e2/(4πέρ,10hc)-1 /137, m is the electron mass and e denotes the electron electric charge. i) Why is the total energy negative? Explain briefly your answer. ii) What is the radius of the electron in the n-th excited state in the Bohr atom? To answer that correctly follow the next steps Use Bohr's angular momentum quantization principle to obtain an...
A hydrogen atom has an excited electron in the n = 5 state. The electron descends...
A hydrogen atom has an excited electron in the n = 5 state. The electron descends to the n = 2 state. What is the energy level of the n = 5 state? What is the energy level of the n = 2 state? What is the wavelength of the emitted photon (3 sigfigs please)?
An electron in an excited state of a hydrogen atom emits two photons in succession, the...
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?
Compute the change in energy of the 2p→ 1s photon when a hydrogen atom is placed...
Compute the change in energy of the 2p→ 1s photon when a hydrogen atom is placed in a magnetic field of 2.00 T. 2 III. (12pts) The electron of a hydrogen atom is excited to the n= 5 state. (a) what is the Bohr radius of the electron? (b) what is the total energy of the electron? (c) what is the electron’s Coulomb potential energy and kinetic energy? IV. (12pts) X-ray photons of wavelength 0.120 nm are incident on a...
14. Consider the hydrogen atom. (a) What value of wavelength is associated with the Lyman series...
14. Consider the hydrogen atom. (a) What value of wavelength is associated with the Lyman series for n = 2? (Rydberg constant RH = 1.097 x 10^7 m^-1). (b) An electron in a hydrogen atom makes a transition from the n = 4 to the n = 3 energy state. Determine the energy (in eV) of the emitted photon. (c) Calculate the radius, speed. linear momentum. and de Broglie wavelength of the electron in the first Bohr orbit. (me =...
6. [18 PTS] SPECTROSCOPY The electron in a hydrogen atom is in the n-5 state. a....
6. [18 PTS] SPECTROSCOPY The electron in a hydrogen atom is in the n-5 state. a. Calculate the energy of the electron. b. Calculate the orbital radius of the electron according to the Bohr model. The electron drops down to the n 3 state. c. Calculate the energy of the emitted photon d. Calculate the wavelength of the emitted photon.
1) If the electron starts out in the ground state and is excited to level E3...
1) If the electron starts out in the ground state and is excited
to level E3 by an incoming photon, what was the wavelength of that
photon (in nm)?
a) 95.4 nm
b) 102.5nm
c) 121.5nm
d) 136.7 nm
e) 182.3 nm
2) When the electron transitioned from E1 to E3 its orbital
radius increased by a factor of:
A) 1 (It didn’t change)
B) 2
C) 3
D) 4
E) 9
3) What is the longest wavelength the hydrogen...
A Rydberg atom is one in which an electron is in a very high excited state...
A Rydberg atom is one in which an electron is in a very high excited state (n 40 or higher). Such atoms are useful for experiments that probe the transition from quantum- mechanical behavior to classical. Furthermore, these excited states have extremely long lifetimes (i.e., the electron will stay in this high excited state for a very long time). A hydrogen atom is in the n47 state. (a) What Is the lonization energy of the atom when it is in...
An electron in the hydrogen atom make a transition from the ground state to an excited...
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?
When an electron of an excited hydrogen atom descends, from an initial energy level (ni) to...
When an electron of an excited hydrogen atom descends, from an initial energy level (ni) to a lower (nf), characteristic electromagnetic radiation is emitted. The Bohr model of the H-atom allows the calculation of ?E for any pair of energy levels. ?E is related to the wavelength (?) of the radiation according to Einstein's equation ( ?E = [(hc)/?]). Distinct series of spectral lines have been classified according to nf: Lyman series:nf=1 (91<?<123 nm; near-UV). Balmer series:nf=2 (365<?<658 nm; visible)....
3 (b) The energy of a Bohr atom in the n-th excited state is given by the formula E--a2mc2 2,7, where α-e2/(4πέρ,10hc)-1 /137, m is the electron mass and e denotes the electron electric charge. i) Why is the total energy negative? Explain briefly your answer. ii) What is the radius of the electron in the n-th excited state in the Bohr atom? To answer that correctly follow the next steps Use Bohr's angular momentum quantization principle to obtain an...
14. Consider the hydrogen atom. (a) What value of wavelength is associated with the Lyman series for n = 2? (Rydberg constant RH = 1.097 x 10^7 m^-1). (b) An electron in a hydrogen atom makes a transition from the n = 4 to the n = 3 energy state. Determine the energy (in eV) of the emitted photon. (c) Calculate the radius, speed. linear momentum. and de Broglie wavelength of the electron in the first Bohr orbit. (me =...
6. [18 PTS] SPECTROSCOPY The electron in a hydrogen atom is in the n-5 state. a. Calculate the energy of the electron. b. Calculate the orbital radius of the electron according to the Bohr model. The electron drops down to the n 3 state. c. Calculate the energy of the emitted photon d. Calculate the wavelength of the emitted photon.
1) If the electron starts out in the ground state and is excited
to level E3 by an incoming photon, what was the wavelength of that
photon (in nm)?
a) 95.4 nm
b) 102.5nm
c) 121.5nm
d) 136.7 nm
e) 182.3 nm
2) When the electron transitioned from E1 to E3 its orbital
radius increased by a factor of:
A) 1 (It didn’t change)
B) 2
C) 3
D) 4
E) 9
3) What is the longest wavelength the hydrogen...
A Rydberg atom is one in which an electron is in a very high excited state (n 40 or higher). Such atoms are useful for experiments that probe the transition from quantum- mechanical behavior to classical. Furthermore, these excited states have extremely long lifetimes (i.e., the electron will stay in this high excited state for a very long time). A hydrogen atom is in the n47 state. (a) What Is the lonization energy of the atom when it is in...
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