Modern Physics
2nd Edition
ISBN: 9780805303087
Author: Randy Harris
Publisher: Addison Wesley
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Chapter 3, Problem 6CQ
To determine
Whether the emission of a photon by an isolated electron is possible or not.
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Doubly ionized lithium (Li++) emits a photon after transitioning from the n = 3 excited state directly back to the ground state.
A) Calculate the mass of the lithium ion. (Atomic mass = 6.015123 u; electron mass = 5.485799 x 10-4 u)
Express your answer in unified atomic mass units and to four significant figures.
B) After the emission of the photon, the ion recoils. Calculate the recoil speed.
Express your answer to three significant figures in meters/second.
2
Although muons have a half-life of 2.2 µs, physical chemists have been able to construct various muonic elements out of them. Replacing the electron with a muon in hydrogen, what is the Bohr radius (in m) of this muonic hydrogen in the ground state? (The mass of a muon is 1.88 ✕ 10−28 kg.)
Chapter 3 Solutions
Modern Physics
Ch. 3 - Prob. 1CQCh. 3 - Prob. 2CQCh. 3 - Prob. 3CQCh. 3 - Prob. 4CQCh. 3 - Prob. 5CQCh. 3 - Prob. 6CQCh. 3 - Prob. 7CQCh. 3 - A ball rebounds elastically from the floor. What...Ch. 3 - Prob. 9CQCh. 3 - Prob. 10CQ
Ch. 3 - Prob. 11ECh. 3 - Prob. 12ECh. 3 - Prob. 13ECh. 3 - Prob. 14ECh. 3 - Prob. 15ECh. 3 - Prob. 16ECh. 3 - Prob. 17ECh. 3 - What is the stopping potential when 250 nm...Ch. 3 - Prob. 19ECh. 3 - Prob. 20ECh. 3 - Prob. 21ECh. 3 - Prob. 22ECh. 3 - Prob. 23ECh. 3 - Prob. 24ECh. 3 - Prob. 25ECh. 3 - Prob. 26ECh. 3 - Prob. 27ECh. 3 - Prob. 28ECh. 3 - Prob. 29ECh. 3 - Prob. 30ECh. 3 - Prob. 31ECh. 3 - Prob. 32ECh. 3 - Prob. 33ECh. 3 - Prob. 34ECh. 3 - Prob. 35ECh. 3 - Prob. 36ECh. 3 - Verify that the Chapter 2 formula KE=mc2 applies...Ch. 3 - Prob. 38ECh. 3 - Prob. 39ECh. 3 - Prob. 40ECh. 3 - Prob. 41ECh. 3 - Prob. 42ECh. 3 - Prob. 43ECh. 3 - Prob. 44ECh. 3 - Prob. 45ECh. 3 - Prob. 46ECh. 3 - Prob. 47CECh. 3 - Prob. 49CECh. 3 - Prob. 50CECh. 3 - Prob. 51CECh. 3 - Prob. 52CECh. 3 - Prob. 53CECh. 3 - Prob. 54CECh. 3 - Prob. 55CE
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- You are studying a very distant quasar and are trying to determine how far away it is. The quasar is a very bright point-like light source, and there is only one relevant distance measuring technique applicable to objects at such a great distance. From a spectra of the quasar, you observe that it's Lyman alpha emission line (which would be at 121.6 nm in a laboratory sample of Hydrogen) is at 130 nm. What is the distance to this quasar in units of Mpc. [Hint: Think about what distance measuring technique we use for the very farthest objects in the universe. You will need to look up a special constant (who's value is uncertain) to complete this problem. The answer accounts for the possible range of uncertainty in the quantity you need to look up.]arrow_forward7)Solve the sub-part (a) only.arrow_forwardThe first line in the Lyman series of H is at 82257.098 cm-1, while that line in the spectrum of deuterium (D) is at 82281.476 cm-1.Check the option that contains the mass of the D nucleus, calculated from this spectral information. Assume that h = 6,63 x 10-34 J.s, c = 2,99 x 108 m/s, m(elétron) = 9,11 x 10-31 kg e m(próton) = 1,67 x 10-27 kgarrow_forward
- A 57Fe nucleus at rest emits a 14.0-keV photon. Use conservation of energy and momentum to find the kinetic energy of the recoiling nucleus in electron volts. Use Mc2 = 8.60 × 10-9 J for the final state of the 57Fe nucleus.arrow_forward51. (a) Calculate the wavelength (in nm) of light with energy 1.61×10−20 J per photon. (b) For light of wavelength 440 nm, calculate the number of photons per joule. (c) Determine the binding energy (in eV) of a metal if the kinetic energy possessed by an ejected electron (using one of the photons with wavelength 440 nm) is 2.53×10−19 J.arrow_forwardQuestion 2: Balmer Series of Hydrogen (a) Calculate the minimum and maximum wavelengths in the Balmer series of hydrogen. (b) The Balmer series of hydrogen has an emission line with a wavelength of 486.1 nm. Estimate the wavelength of the corresponding emission line for the case of muonic hydrogen (where the electron in the hydrogen atom is replaced by a muon which is 207 times heavier than an electron).arrow_forward
- Assume a hypothetical atom with a nucleus that consists of two positrons (instead of two protons). Positron has a charge of +1 and the mass of an electron. Write down the hydrogen like energy of a neutral 2-positrons atom.arrow_forwardA proton captures a µ-[A negative muon is unstable elementary particle] to form a muonic atom of radius (O.285 pm) of the first Bohr orbit of this atom. The mass of the muonic atom [in MeV] is.... * O 94.45 O 944.5 O 93.45 9.44arrow_forwardAt what rate does the Sun emit photons? For simplicity, assume that the Sun’s entire emission at the rate of 3.9 * 10^26 W is at the single wavelength of 550 nm.arrow_forward
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