Modern Physics
3rd Edition
ISBN: 9781111794378
Author: Raymond A. Serway, Clement J. Moses, Curt A. Moyer
Publisher: Cengage Learning
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Chapter 4, Problem 3Q
(a)
To determine
Whether an electron in the ground state of the hydrogen atom can absorb a photon of energy less than
(b)
To determine
Whether an electron in the ground state of the hydrogen atom can absorb a photon of energy greater than
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Consider photons incident on a hydrogen atom.
(a) A transition from the n = 4 to the n = 7 excited-state requires the absorption of a photon of what minimum energy? eV(b) A transition from the n = 1 ground state to the
n = 6 excited state requires the absorption of a photon of what minimum energy?
eV
What are the (a) energy, (b) magnitude of the momentum, and (c) wavelength of the photon emitted when a hydrogen atom
undergoes a transition from a state with n = 4 to a state with n = 2?
(a) Number
2.55
Units
eV
(b) Number
1.3617
Units
kg-m/s or N-s
(c) Number
4.865976353
Units
This answer has no units
A hydrogen atom is initially in the n = 6 state. It drops to the n = 2 state, emitting a photon in the process.
(a) What is the energy (in ev) of the emitted photon?
3.022
ev
(b) What is the frequency (in Hz) of the emitted photon?
7.293e14
v Hz
(c) What is the wavelength (in um) of the emitted photon?
41.14
um
Chapter 4 Solutions
Modern Physics
Ch. 4.2 - Exercise 1 Find the horizontal speed vx for this...Ch. 4.2 - Prob. 2ECh. 4.3 - Prob. 3ECh. 4.3 - Prob. 4ECh. 4.3 - Prob. 5ECh. 4 - Prob. 1QCh. 4 - Prob. 2QCh. 4 - Prob. 3QCh. 4 - Prob. 4QCh. 4 - Prob. 5Q
Ch. 4 - Prob. 6QCh. 4 - Prob. 7QCh. 4 - Prob. 8QCh. 4 - Prob. 9QCh. 4 - Prob. 10QCh. 4 - Prob. 11QCh. 4 - Prob. 1PCh. 4 - Prob. 2PCh. 4 - A mystery particle enters the region between the...Ch. 4 - Prob. 4PCh. 4 - A Thomson-type experiment with relativistic...Ch. 4 - Prob. 6PCh. 4 - Prob. 8PCh. 4 - Prob. 9PCh. 4 - Prob. 10PCh. 4 - Prob. 11PCh. 4 - Prob. 12PCh. 4 - Prob. 13PCh. 4 - Prob. 14PCh. 4 - Prob. 15PCh. 4 - Prob. 16PCh. 4 - Prob. 17PCh. 4 - Prob. 18PCh. 4 - Prob. 19PCh. 4 - Prob. 20PCh. 4 - Prob. 21PCh. 4 - Prob. 22PCh. 4 - Prob. 23PCh. 4 - Prob. 24PCh. 4 - Prob. 25PCh. 4 - Prob. 26PCh. 4 - Prob. 27PCh. 4 - Prob. 28PCh. 4 - Prob. 29PCh. 4 - Prob. 30PCh. 4 - Prob. 31PCh. 4 - Prob. 32PCh. 4 - Prob. 33PCh. 4 - Prob. 34PCh. 4 - Prob. 35PCh. 4 - Prob. 36PCh. 4 - Prob. 37PCh. 4 - Prob. 38PCh. 4 - Prob. 39PCh. 4 - Prob. 40PCh. 4 - Prob. 41PCh. 4 - Prob. 42PCh. 4 - Prob. 43PCh. 4 - Prob. 44P
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- A hydrogen atom is in its ground state. Incident on the atom is a photon having an energy of 10.5 eV. What is the result? (a) The atom is excited to a higher allowed state. (b) The atom is ionized. (c) The photon passes by the atom without interaction.arrow_forwardA hydrogen atom emits a photon that has momentum 6.977 × 10-27 kg·m/s. This photon is emitted because the electron in the atom falls from a higher energy level into the n = 1 level. What is the quantum number of the level from which the electron falls? Use values of h = 6.626 × 10-34 J·s, c = 2.998 × 108 m/s, and e = 1.602 × 10-19 C.arrow_forwardCan an electron in a hydrogen atom have a speed of 3.60 × 105 m/s? If so, what are its energy and the radius of its orbit? What about a speed of 3.65 × 105 m/s?arrow_forward
- An electron in a hydrogen atom makes a transition from the n=1 state to the n=3 state (1eV= 1.6 x10^-19 J and h = 6.63 x 10^-34 J s= 4.136 x 10^-15 Ev/hz c =3.0 x10^8 m/s) what is the energy of the photon absorbed in transition and what is the frequency of the absorbed photon energy?arrow_forwardA hydrogen atom transitions from the n = 8 excited state to the n = 4 excited state, emitting a photon. (a) What is the energy, in electron volts, of the photon emitted by the hydrogen atom? eV(b) What is the wavelength of the photon emitted by the hydrogen atom? m(c) What is the frequency of the photon emitted by the hydrogen atom? Hzarrow_forward! 7 Q A 5. An atom changing from an energy state of -0.54 eV to an energy state of -0.85 eV will emit a photon whose energy is (A) 0.31 eV (B) 0.54 eV (C) 0.85 eV (D) 1.39 eV 6. The lowest energy state of an atom is called its (A) ground state (B) ionized state (C) initial energy state (D) final energy 7. A hydrogen atom emit a photon with energy of 1.63 x 10 J as it changes to the ground state. The radiation emitted by the atom would be classified as (A) infrared (B) ultraviolet (C) blue light (D) red light 8. How much energy is needed to raise a hydrogen atom from the n=2 energy level to the n = 4 energy level? (A) 10.2 eV (B) 2.55 eV (D) 0.65 eV (C) 1.90 eV 9. A hydrogen atom is excited to the n = 3 state. In returning to the ground state, the atom could not emit a photon with an energy of (A) 1.9 eV (B) 10.2 eV (C) 12.09 eV (D) 11.4 eV 10. If a hydrogen atom absorbs 1.9 eV of energy, it could be excited from energy level (A) n=1 to n = 2 (B) n=1 to n = 3 (C) n=2 to n = 3 (D) n=2 to…arrow_forward
- A hydrogen atom emits a photon that has momentum 6.813 × 10-27 kg⋅m/s. This photon is emitted because the electron in the atom falls from a higher energy level into the n = 1 level. What is the quantum number of the level from which the electron falls? Use values of h = 6.626 × 10-34 J·s, c = 2.998 × 108 m/s, and e = 1.602 × 10-1⁹ C. Number i 1 Bohr-model picture of photon emission Unitsarrow_forwardA hydrogen atom in an n=2, I=1, m1 = -1 state emits a photon when it decays to an n=1 I=0, mI=0 ground state. If the atom is in a magnetic field in the + z direction and with a magnitude of 2.50 T, what is the shift in the wavelength of the photon from zero-field value?arrow_forwardb. An electron and a photon has the same wavelength of 0.21 nm. Calculate the momentum and energy (in eV) of the electron and the photon. (Given c =3.00x108 m s-1, h =6.63 x 1034 J s, me=9.11 x 10-31 kg, mp=1.67 x 1027 kg and e=1.60x1019 C)arrow_forward
- The frequency of yellow light is 5.08 * 10 ^ 14 * H_{Z} . How much energy does a photon of yellow light carry? (h=6.626*10^ -34 J* s;1 eV=; 1.60*10^ -19 j)arrow_forwardA mercury atom emits light at many wavelengths, two of which are at (1) 404.7 nm and (2) 435.8 nm. Both of these transitions are to the same final state. Determine the energy of each emitted wavelength (in J).arrow_forwardAn atom (not a hydrogen atom) absorbs a photon whose associated frequency is 6.2 * 1014 Hz. By what amount does the energy of the atom increase?arrow_forward
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