Physics for Scientists and Engineers With Modern Physics
9th Edition
ISBN: 9781133953982
Author: SERWAY, Raymond A./
Publisher: Cengage Learning
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Chapter 42, Problem 3OQ
To determine
The wavelength of the photon
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b. 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)
An electron at the n=5 energy level of hydrogen undergoes a transition to the n=3 energy level. What wavelength of photon does the atom emit in this process?
a) 1.28 x 10^-6 m
b) 2.37 x 10^-6 m
c) 4.22 x 10^-7 m
d) 3.04 x 10^-6 m
e) 5.92 x 10^-5 m
A 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.
Chapter 42 Solutions
Physics for Scientists and Engineers With Modern Physics
Ch. 42.3 - Prob. 42.1QQCh. 42.3 - Prob. 42.2QQCh. 42.4 - Prob. 42.3QQCh. 42.4 - Prob. 42.4QQCh. 42.8 - Prob. 42.5QQCh. 42 - Prob. 1OQCh. 42 - Prob. 2OQCh. 42 - Prob. 3OQCh. 42 - Prob. 4OQCh. 42 - Prob. 5OQ
Ch. 42 - Prob. 6OQCh. 42 - Prob. 7OQCh. 42 - Prob. 8OQCh. 42 - Prob. 9OQCh. 42 - Prob. 10OQCh. 42 - Prob. 11OQCh. 42 - Prob. 12OQCh. 42 - Prob. 13OQCh. 42 - Prob. 14OQCh. 42 - Prob. 15OQCh. 42 - Prob. 1CQCh. 42 - Prob. 2CQCh. 42 - Prob. 3CQCh. 42 - Prob. 4CQCh. 42 - Prob. 5CQCh. 42 - Prob. 6CQCh. 42 - Prob. 7CQCh. 42 - Prob. 8CQCh. 42 - Prob. 9CQCh. 42 - Prob. 10CQCh. 42 - Prob. 11CQCh. 42 - Prob. 12CQCh. 42 - Prob. 1PCh. 42 - Prob. 2PCh. 42 - Prob. 3PCh. 42 - Prob. 4PCh. 42 - Prob. 5PCh. 42 - Prob. 6PCh. 42 - Prob. 7PCh. 42 - Prob. 8PCh. 42 - Prob. 9PCh. 42 - Prob. 10PCh. 42 - Prob. 11PCh. 42 - Prob. 12PCh. 42 - Prob. 13PCh. 42 - Prob. 14PCh. 42 - Prob. 15PCh. 42 - Prob. 16PCh. 42 - Prob. 17PCh. 42 - Prob. 18PCh. 42 - Prob. 19PCh. 42 - Prob. 20PCh. 42 - Prob. 21PCh. 42 - Prob. 23PCh. 42 - Prob. 24PCh. 42 - Prob. 25PCh. 42 - Prob. 26PCh. 42 - Prob. 27PCh. 42 - Prob. 28PCh. 42 - Prob. 29PCh. 42 - Prob. 30PCh. 42 - Prob. 31PCh. 42 - Prob. 32PCh. 42 - Prob. 33PCh. 42 - Prob. 34PCh. 42 - Prob. 35PCh. 42 - Prob. 36PCh. 42 - Prob. 37PCh. 42 - Prob. 38PCh. 42 - Prob. 39PCh. 42 - Prob. 40PCh. 42 - Prob. 41PCh. 42 - Prob. 43PCh. 42 - Prob. 44PCh. 42 - Prob. 45PCh. 42 - Prob. 46PCh. 42 - Prob. 47PCh. 42 - Prob. 48PCh. 42 - Prob. 49PCh. 42 - Prob. 50PCh. 42 - Prob. 51PCh. 42 - Prob. 52PCh. 42 - Prob. 53PCh. 42 - Prob. 54PCh. 42 - Prob. 55PCh. 42 - Prob. 56PCh. 42 - Prob. 57PCh. 42 - Prob. 58PCh. 42 - Prob. 59PCh. 42 - Prob. 60PCh. 42 - Prob. 61PCh. 42 - Prob. 62PCh. 42 - Prob. 63PCh. 42 - Prob. 64PCh. 42 - Prob. 65APCh. 42 - Prob. 66APCh. 42 - Prob. 67APCh. 42 - Prob. 68APCh. 42 - Prob. 69APCh. 42 - Prob. 70APCh. 42 - Prob. 71APCh. 42 - Prob. 72APCh. 42 - Prob. 73APCh. 42 - Prob. 74APCh. 42 - Prob. 75APCh. 42 - Prob. 76APCh. 42 - Prob. 77APCh. 42 - Prob. 78APCh. 42 - Prob. 79APCh. 42 - Prob. 80APCh. 42 - Prob. 81APCh. 42 - Prob. 82APCh. 42 - Prob. 83APCh. 42 - Prob. 84APCh. 42 - Prob. 85APCh. 42 - Prob. 86APCh. 42 - Prob. 87APCh. 42 - Prob. 88APCh. 42 - Prob. 89CPCh. 42 - Prob. 90CPCh. 42 - Prob. 91CP
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- 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 umarrow_forwardFind the frequency of the photon emitted when hydrogen makes a transition between energy level 6 to energy level 4. h = 6.62 × 10−34?2 ∙ ??/? ? = 3 × 108?/?arrow_forwardA 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_forward
- An electron in a hydrogen atom makes a transition from the fifth excited state to n = 2.What are the frequency and wavelength of the emitted photon? (h = 4.136 x 10 -15 eV/Hz = 6.63 x 10 -34 J.s, c = 3.0 x 10 8 m/s, 1eV = 1.6 x 10 -19 J)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_forward3. A. 279.7 kJ of energy are required to remove one mole of electrons from one mole of lithium atoms. What is the maximum wavelength of light that can remove one electron from one lithium atom? (h = 6.626 x 1034J•sec, c = 3.0 x 10* m/s) B. Assume that a hydrogen atom's electron has been excited to the n= 5 energy level. How many different wavelengths of light can be emitted as this excited electron loses energy? Include a diagram to support your answer.arrow_forward
- 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 unitsarrow_forwardThe two nuclei in the carbon monoxide (CO) molecules are 0.1128 nm apart. The mass of the carbon atom is 1.993x10-26 kg. The mass of the oxygen atom is 2.656x10-26 kg.What is the wavelength of the photon emitted in the transition from first excited state to the ground state? (Give your answer in mm.)arrow_forwardA hydrogen atom is in state N= 3, where N = 1 is the lowest energy state. What is K+U in electron volts for this atomic hydrogen energy state? E3 = eV The hydrogen atom makes a transition to state N = 2. What is K+U in electron volts for this lower atomic hydrogen energy state? E₂ = eV What is the energy in electron volts of the photon emitted in the transition from level N = 3 to N = 2? Ephoton = eVarrow_forward
- An electron has a kinetic energy of 4.1 × 10–¹³ J. 46. What is the electron's speed? (a) 0.960c (b) 0.968c (c) 0.972c (d) 0.980c (e) 0.986c 47. What is the de Broglie wavelength of the electron described? (a) 4.09 × 10-13 m (b) 4.94 × 10-13m (c) 5.42 × 10-13 m (d) 6.25 × 10-13 m (e) 7.81 x 10-13marrow_forwardThe threshold frequency of tungsten is 1.30·10¹⁵ Hz. a) Justify that, if its surface is illuminated with light of wavelength 1.50·10⁻⁷ m, electrons are emitted. b) Calculate the incident wavelength so that the speed of the emitted electrons is 4.50·10⁵ m·s⁻¹. Data: h = 6.63·10⁻³⁴ J·s; c = 3·10⁸ m·s⁻¹; mₑ = 9.1 10⁻³¹ kg.arrow_forwardQUESTION 1 A photon emitted by a blackbody has an energy of 1.021 J. What is the frequency of such a photon?(h=6.63.10-34 J.s) QUESTION 2 What is the energy (in eV) of a gamma-ray photon with frequency f=5.67-102¹ Hz? (h=4.136-10-15eV/Hz) QUESTION 3 The ground level of the hydrogen atom has an energy E,= 13.6 eV while the first excited state has an energy Calculate the energy difference of an electron going from the first excited state back to the ground state. 1 QUESTION 4 What is the frequency of the photon emitted by the electron in Question 3? QUESTION 5 E 2= -3.4 eV. An electron has a wavelength of 0.267 nm (1 nm = 10-9 m). What is the speed of such electron orbiting the nucleus? ( m=9.11-10-31 kg)arrow_forward
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