Essential University Physics (3rd Edition)
3rd Edition
ISBN: 9780134202709
Author: Richard Wolfson
Publisher: PEARSON
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Question
Chapter 36, Problem 35P
To determine
Principle and angular quantum numbers of hydrogen atom.
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The orbital angular momentum of a hydrogen atom is 2.572 × 10-34 J•s.
What is the atom’s minimum possible energy?
A hydrogen atom is in the ground
state. It absorbs energy and makes
نقطة واحدة
a transition to the n = 3 excited
state. The atom returns to the
ground state by emitting two
photons. What are their
?wavelengths
None of these O
5.66x10^-7 m and 2.12x10^-7 m
O
6.65×10^-7 m and 2.21×10^-7 m
6.56×10^-7 m and 1.22×10^-7 m O
A hydrogen atom is in its first excited state (n = 2). Using the Bohr theory of the atom, calculate the following.
(a) the radius of the orbit
nm
(b) the linear momentum of the electron
kg. m/s
(c) the angular momentum of the electron
J.s
(d) the kinetic energy
eV
(e) the potential energy
eV
Chapter 36 Solutions
Essential University Physics (3rd Edition)
Ch. 36.1 - Prob. 36.1GICh. 36.2 - Prob. 36.2GICh. 36.3 - Prob. 36.3GICh. 36.4 - Prob. 36.4GICh. 36.5 - Prob. 36.5GICh. 36 - Prob. 1FTDCh. 36 - Prob. 2FTDCh. 36 - Prob. 3FTDCh. 36 - Prob. 4FTDCh. 36 - Prob. 5FTD
Ch. 36 - Prob. 6FTDCh. 36 - Prob. 7FTDCh. 36 - Prob. 8FTDCh. 36 - Prob. 9FTDCh. 36 - Prob. 10FTDCh. 36 - Prob. 11FTDCh. 36 - Prob. 12FTDCh. 36 - What distinguishes a Bose-Einstein condensate from...Ch. 36 - Prob. 14ECh. 36 - Prob. 15ECh. 36 - Prob. 16ECh. 36 - Prob. 17ECh. 36 - Prob. 18ECh. 36 - Prob. 19ECh. 36 - Prob. 20ECh. 36 - Prob. 21ECh. 36 - Prob. 22ECh. 36 - Prob. 23ECh. 36 - Prob. 24ECh. 36 - Prob. 25ECh. 36 - Prob. 26ECh. 36 - Prob. 27ECh. 36 - Prob. 28ECh. 36 - Prob. 29ECh. 36 - Prob. 30ECh. 36 - Prob. 31ECh. 36 - Prob. 32ECh. 36 - Prob. 33ECh. 36 - Prob. 34PCh. 36 - Prob. 35PCh. 36 - Prob. 36PCh. 36 - Prob. 37PCh. 36 - Prob. 38PCh. 36 - Prob. 39PCh. 36 - Prob. 40PCh. 36 - Prob. 41PCh. 36 - Prob. 42PCh. 36 - Prob. 43PCh. 36 - Prob. 44PCh. 36 - Prob. 45PCh. 36 - Prob. 46PCh. 36 - Prob. 47PCh. 36 - Prob. 48PCh. 36 - Prob. 49PCh. 36 - Prob. 50PCh. 36 - Prob. 51PCh. 36 - Prob. 52PCh. 36 - Prob. 53PCh. 36 - Prob. 54PCh. 36 - Prob. 55PCh. 36 - Prob. 56PCh. 36 - Prob. 57PCh. 36 - Prob. 58PCh. 36 - Prob. 59PCh. 36 - Prob. 60PCh. 36 - Prob. 61PCh. 36 - Prob. 62PCh. 36 - Prob. 63PCh. 36 - Prob. 64PCh. 36 - Prob. 65PCh. 36 - Prob. 66PCh. 36 - Prob. 67PCh. 36 - Prob. 68PCh. 36 - Prob. 69PCh. 36 - Prob. 70PCh. 36 - Prob. 71PCh. 36 - Prob. 72PCh. 36 - Prob. 73PCh. 36 - Prob. 74PCh. 36 - Prob. 75PCh. 36 - Prob. 76PPCh. 36 - Prob. 77PPCh. 36 - Prob. 78PPCh. 36 - Prob. 79PP
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- For an electron in a hydrogen atom in the n=2 state, compute: (a) the angular momentum; (b) the kinetic energy; (c) the potential energy; and (d) the total energy.arrow_forwardFor a hydrogen atom in an excited state with principal quantum number n, show that the smallest angle that the orbital angular momentum vector can make with respect to the z-axis is =cos1( n1n) .arrow_forwardA hydrogen atom is in its fourth excited state. The atom emits a 1.28E+3nm wavelength photon. Determine the maximum possible orbital angular momentum of the electron after emission. Express your answer as multiples of hbar.arrow_forward
- An energy of 122.4 eV is needed to remove an electron from the n = 1 state of a lithium atom. If a single photon accomplishes this task, what wavelength is needed? ( h = 6.63 × 10 −34 J ⋅s, c = 3.00 × 10 8 m/s, 1 eV = 1.6 × 10 −19 J, and 1 nm = 10 −9 m) a. 10 nm b. 16 nm c. 1.5 nm d. 26 nm e. 3.4 nmarrow_forwardWhat is the final energy state of an H atom that transitions from the n=4 state and emits a photon with λ = 1.875 μm? n = 2 n = 1 n = 3arrow_forwardA hydrogen atom in its ground state may absorb a photon and be excited What is the photon energy, into the state with principal quantum number n = 2. in electron volts? OA: 3.976 OB: 4.652 OC: 5.443 OD: 6.369 OE: 7.451 OF: 8.718 OG: 10.200 OH: 11.934arrow_forward
- An electron is in the nth Bohr orbit of the hydrogen atom. n3 (a) Show that the period of the electron is T = to n³ and determine the numerical value of to. 153 as (b) On average, an electron remains in the n = 2 orbit for approximately 8 us before it jumps down to the n = 1 (ground-state)orbit. How many revolutions does the electron make in the excited state? 8.26e+09 × (c) Define the period of one revolution as an electron year, analogous to an Earth year being the period of the Earth's motion around the Sun. Explain whether we should think of the electron in the n = 2 orbit as "living for a long time."arrow_forwardAn electron in an excited energy state of the Hydrogen atom has an energy En = 0.85 eV which is 12.75 eV above the ground state. What is the radius rn of the electron’s orbit? Select one: a. 2.12 angstroms b. 8.47 angstroms c. 13.23 angstroms d. 4.77 angstromsarrow_forwardThe orbital angular momentum of an electron has a magnitude of 4.716 * 10-34 kg#m2/s. What is the angular momentum quantum number l for this electron?arrow_forward
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