Physics (5th Edition)
5th Edition
ISBN: 9780321976444
Author: James S. Walker
Publisher: PEARSON
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Question
Chapter 30, Problem 94GP
(a)
To determine
The average de Broglie wavelength of the helium atom.
(b)
To determine
To determine:- The average separation between the helium atom in the jar.
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Chapter 30 Solutions
Physics (5th Edition)
Ch. 30.1 - Prob. 1EYUCh. 30.2 - Prob. 2EYUCh. 30.3 - Prob. 3EYUCh. 30.4 - Prob. 4EYUCh. 30.5 - Prob. 5EYUCh. 30.6 - Prob. 6EYUCh. 30.7 - Prob. 7EYUCh. 30 - Prob. 1CQCh. 30 - Prob. 2CQCh. 30 - Prob. 3CQ
Ch. 30 - Prob. 4CQCh. 30 - Prob. 5CQCh. 30 - Prob. 6CQCh. 30 - Prob. 7CQCh. 30 - Prob. 8CQCh. 30 - Prob. 9CQCh. 30 - Prob. 10CQCh. 30 - Prob. 1PCECh. 30 - Prob. 2PCECh. 30 - Prob. 3PCECh. 30 - The Sun has a surface temperature of about 5800 K....Ch. 30 - Prob. 5PCECh. 30 - Prob. 6PCECh. 30 - (a) By what factor does the peak frequency change...Ch. 30 - Prob. 8PCECh. 30 - Prob. 9PCECh. 30 - Prob. 10PCECh. 30 - Prob. 11PCECh. 30 - Prob. 12PCECh. 30 - Prob. 13PCECh. 30 - Prob. 14PCECh. 30 - Prob. 15PCECh. 30 - Prob. 16PCECh. 30 - Prob. 17PCECh. 30 - Prob. 18PCECh. 30 - Prob. 19PCECh. 30 - Prob. 20PCECh. 30 - Prob. 21PCECh. 30 - Prob. 22PCECh. 30 - Prob. 23PCECh. 30 - Prob. 24PCECh. 30 - Prob. 25PCECh. 30 - Prob. 26PCECh. 30 - Prob. 27PCECh. 30 - Prob. 28PCECh. 30 - Prob. 29PCECh. 30 - Prob. 30PCECh. 30 - Prob. 31PCECh. 30 - Prob. 32PCECh. 30 - Prob. 33PCECh. 30 - Prob. 34PCECh. 30 - Prob. 35PCECh. 30 - BIO Owl Vision Owls have large, sensitive eyes for...Ch. 30 - Prob. 37PCECh. 30 - Prob. 38PCECh. 30 - Prob. 39PCECh. 30 - Prob. 40PCECh. 30 - Prob. 41PCECh. 30 - Prob. 42PCECh. 30 - Prob. 43PCECh. 30 - Prob. 44PCECh. 30 - Prob. 45PCECh. 30 - Prob. 46PCECh. 30 - Prob. 47PCECh. 30 - Prob. 48PCECh. 30 - Prob. 49PCECh. 30 - Prob. 50PCECh. 30 - Prob. 51PCECh. 30 - Prob. 52PCECh. 30 - Prob. 53PCECh. 30 - Prob. 54PCECh. 30 - Prob. 55PCECh. 30 - Prob. 56PCECh. 30 - Prob. 57PCECh. 30 - Prob. 58PCECh. 30 - Prob. 59PCECh. 30 - Prob. 60PCECh. 30 - Prob. 61PCECh. 30 - Prob. 62PCECh. 30 - Prob. 63PCECh. 30 - Prob. 64PCECh. 30 - Prob. 65PCECh. 30 - Prob. 66PCECh. 30 - Prob. 67PCECh. 30 - Prob. 68PCECh. 30 - Prob. 69PCECh. 30 - Prob. 70PCECh. 30 - Prob. 71PCECh. 30 - Prob. 72PCECh. 30 - Prob. 73PCECh. 30 - Prob. 74PCECh. 30 - Prob. 75PCECh. 30 - Prob. 76PCECh. 30 - Prob. 77PCECh. 30 - Prob. 78PCECh. 30 - Prob. 79PCECh. 30 - Prob. 80GPCh. 30 - Prob. 81GPCh. 30 - Prob. 82GPCh. 30 - Prob. 83GPCh. 30 - Prob. 84GPCh. 30 - Prob. 85GPCh. 30 - Prob. 86GPCh. 30 - Prob. 87GPCh. 30 - Prob. 88GPCh. 30 - Prob. 89GPCh. 30 - Prob. 90GPCh. 30 - Prob. 91GPCh. 30 - Prob. 92GPCh. 30 - Prob. 93GPCh. 30 - Prob. 94GPCh. 30 - Prob. 95GPCh. 30 - Prob. 96GPCh. 30 - Prob. 97PPCh. 30 - Prob. 98PPCh. 30 - Prob. 99PPCh. 30 - Prob. 100PPCh. 30 - Prob. 101PPCh. 30 - Prob. 102PP
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- -. (a) Find the de Broglie wavelength of a nitrogen molecule in air at room temperature (293 K). (b) The density of air at room temperature and atmospheric pressure is 1.292 kg/m³. Find the average distance between air molecules at this temperature and compare with the de Broglie wavelength. What do you conclude about the importance of quantum effects in air at room temper- ature? (c) Estimate the temperature at which quantum effects might become important.arrow_forward2.1. Find the de Broglie wavelength of the following particles: (i) an electron in a semiconductor having average thermal velocity at T = 300 K and an effective mass of me = amo, where a is a constant, (ii) a helium atom having thermal energy at T = 300 K, (iii) an a-particle (He4 nucleus) of kinetic energy 10 MeV.arrow_forwardThe velocity of an electron is known to be 1.000×105 m/s, with an uncertainty of Av = 1.00×102 m/s. (a) What is the minimum uncertainty in the electron's position, Av, in meters? (b) How does this compare to the de Broglie wavelength of the electron? (c) One of your professors (m = 75.0 kg) is pacing at the front of the classroom, and you measure their velocity to an uncertainty of Av = 0.100 m/s. What is the minimum uncertainty in a measurement of their position? (d) How does this compare to the height of your professor?arrow_forward
- Consider a balloon filled with helium gas at room temperature and atmospheric pressure. Calculate (a) the average de Broglie wavelength of the helium atoms and (b) the average distance between atoms under these conditions. The average kinetic energy of an atom is equal to (3/2)kT, where k is the Boltzmann constant. (c) Can the atoms be treated as particles under these conditions? Explain.arrow_forwardConsider an oxygen (O2) molecule in a bottle of air. Imagine that at a certain time, we locate the molecule along the x axis to within an uncertainty of 0.1 nanometers. a) What is the minimum uncertainty in the molecule's x-velocity required by the Heisenberg Uncertainty Principle? (Hint: the answer is about 10 m/s) b) How does this compare (roughly) to the magnitude of the molecule's average x-velocity due to its thermal motion at room temperature? (Hint: the answer is delta v << average thermal speed) (Hint: Avogadro's number of oxygen molecules has a mass of about 32 grams. At an absolute temperature T, a molecule has an average kinetic energy of 1.5 * kB * T, where kB is Boltzmann's constant. Room temperature is about 295 K).arrow_forwardAnswer the following. (a) What is the surface temperature of Betelgeuse, a red giant star in the constellation of Orion, which radiates with a peak wavelength of about 970 nm? K(b) Rigel, a bluish-white star in Orion, radiates with a peak wavelength of 145 nm. Find the temperature of Rigel's surface. Karrow_forward
- Answer the following. (a) What is the surface temperature of Betelgeuse, a red giant star in the constellation of Orion, which radiates with a peak wavelength of about 970 nm? K (b) Rigel, a bluish-white star in Orion, radiates with a peak wavelength of 145 nm. Find the temperature of Rigel's surface. Karrow_forwardChemists use infrared absorption spectra to identify chemicals in a sample. In one sample, a chemist finds that light of wavelength 5.8 um is absorbed when a molecule makes a transition from its ground harmonic oscillator level to its first excited level. (a) Find the energy of this transition. (b) If the molecule can be treated as a harmonic oscillator with mass 5.6 * 10-26 kg, find the force constant.arrow_forwardAn atom of iron has a radius of 156. pm and the average orbital speed of the electrons in it is about ×5.7*10^7 m/s. Calculate the least possible uncertainty in a measurement of the speed of an electron in an atom of iron. Write your answer as a percentage of the average speed, and round it to 2 significant digits.arrow_forward
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