Student Workbook for College Physics: A Strategic Approach Volume 1 (Chs. 1-16)
3rd Edition
ISBN: 9780321908865
Author: Randall D. Knight (Professor Emeritus), Brian Jones, Stuart Field
Publisher: PEARSON
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Chapter 28, Problem 34P
To determine
The de Broglie wavelength of rubidium and number of times larger than the diameter of the atom.
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What is the de Broglie wavelength of a electron that is moving at 8.77 x 105 m/s? Please give your answer in nanometers.
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At very low temperature, the de Broglie wavelengths of the atoms in a gas can become larger than the distance between atoms, which leads to new states of matter. In an early study, a gas of 23Na was cooled to 200 nK. What is the de Broglie wavelength of the sodium atoms at this temperature? To get a sense of scale, at everyday temperatures and pressures, the distance between air molecules is about 3 nm. How does the de Broglie wavelength compare to this distance? (The gas in the study was much more diffuse than this, but the atoms were close enough for some overlap.)
Chapter 28 Solutions
Student Workbook for College Physics: A Strategic Approach Volume 1 (Chs. 1-16)
Ch. 28 - Prob. 1CQCh. 28 - Prob. 2CQCh. 28 - Prob. 3CQCh. 28 - Prob. 4CQCh. 28 - Prob. 5CQCh. 28 - Prob. 6CQCh. 28 - Prob. 7CQCh. 28 - Prob. 8CQCh. 28 - Prob. 9CQCh. 28 - Prob. 10CQ
Ch. 28 - Prob. 11CQCh. 28 - Prob. 12CQCh. 28 - Prob. 13CQCh. 28 - Prob. 14CQCh. 28 - Prob. 15CQCh. 28 - Prob. 16CQCh. 28 - Prob. 17CQCh. 28 - Prob. 18CQCh. 28 - Prob. 19CQCh. 28 - Prob. 20CQCh. 28 - Prob. 21CQCh. 28 - Prob. 22CQCh. 28 - Prob. 23CQCh. 28 - Prob. 24CQCh. 28 - Prob. 25CQCh. 28 - Prob. 26MCQCh. 28 - Prob. 27MCQCh. 28 - Prob. 28MCQCh. 28 - Prob. 29MCQCh. 28 - Prob. 30MCQCh. 28 - Prob. 31MCQCh. 28 - Prob. 32MCQCh. 28 - Prob. 33MCQCh. 28 - Prob. 34MCQCh. 28 - Prob. 35MCQCh. 28 - Prob. 1PCh. 28 - Prob. 2PCh. 28 - Prob. 3PCh. 28 - Prob. 4PCh. 28 - Prob. 5PCh. 28 - Prob. 6PCh. 28 - Prob. 7PCh. 28 - Prob. 8PCh. 28 - Prob. 9PCh. 28 - Prob. 10PCh. 28 - Prob. 11PCh. 28 - Prob. 12PCh. 28 - Prob. 13PCh. 28 - Prob. 14PCh. 28 - Prob. 15PCh. 28 - Prob. 16PCh. 28 - Prob. 17PCh. 28 - Prob. 18PCh. 28 - Prob. 19PCh. 28 - Prob. 20PCh. 28 - Prob. 21PCh. 28 - Prob. 22PCh. 28 - Prob. 23PCh. 28 - Prob. 24PCh. 28 - Prob. 25PCh. 28 - Prob. 26PCh. 28 - Prob. 27PCh. 28 - Prob. 28PCh. 28 - Prob. 29PCh. 28 - Prob. 30PCh. 28 - Prob. 31PCh. 28 - Prob. 32PCh. 28 - Prob. 33PCh. 28 - Prob. 34PCh. 28 - Prob. 35PCh. 28 - Prob. 36PCh. 28 - Prob. 37PCh. 28 - Prob. 38PCh. 28 - Prob. 39PCh. 28 - Prob. 40PCh. 28 - Prob. 41PCh. 28 - Prob. 42PCh. 28 - Prob. 43PCh. 28 - Prob. 44PCh. 28 - Prob. 45PCh. 28 - Prob. 46PCh. 28 - Prob. 47PCh. 28 - Prob. 48PCh. 28 - Prob. 49PCh. 28 - Prob. 50GPCh. 28 - Prob. 51GPCh. 28 - Prob. 52GPCh. 28 - Prob. 53GPCh. 28 - Prob. 54GPCh. 28 - Prob. 55GPCh. 28 - Prob. 56GPCh. 28 - Prob. 57GPCh. 28 - Prob. 58GPCh. 28 - Prob. 59GPCh. 28 - Prob. 60GPCh. 28 - Prob. 61GPCh. 28 - Prob. 62GPCh. 28 - Prob. 63GPCh. 28 - Prob. 64GPCh. 28 - Prob. 65GPCh. 28 - Prob. 66GPCh. 28 - Prob. 67GPCh. 28 - Prob. 68GPCh. 28 - Prob. 69GPCh. 28 - Prob. 70GPCh. 28 - Prob. 71GPCh. 28 - Prob. 72GPCh. 28 - Prob. 73GPCh. 28 - Prob. 74GPCh. 28 - Prob. 75GPCh. 28 - Prob. 76GPCh. 28 - Prob. 77GPCh. 28 - Prob. 78GPCh. 28 - Prob. 79GPCh. 28 - Prob. 80GPCh. 28 - Prob. 81GPCh. 28 - Prob. 82GPCh. 28 - Prob. 83GPCh. 28 - Prob. 84GPCh. 28 - Prob. 85MSPPCh. 28 - Prob. 86MSPPCh. 28 - Prob. 87MSPPCh. 28 - Prob. 88MSPP
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- The root mean square speed of the hydrogen molecules at temperature t °C is given by 3x8.31 x (t+273) m 2 x 10-3 Calculate the de Broglie wavelength (in nanometers) of the hydrogen molecules at temperature 24 °C. The mass of the hydrogen molecule is 2 x 1.66 x 10-27 kg. Use two decimals in your answer.arrow_forwardA sodium atom in one of the states labeled “Lowest excited levels” in Fig. remains in that state, on average, for 1.6 * 10-8 s before it makes a transition to the ground state, emitting a photon with wavelength 589.0 nm and energy 2.105 eV. What is the uncertainty in energy of that excited state? What is the wavelength spread of the corresponding spectral line?arrow_forwardThe orbital radius of an electron in a hydrogen atom is 0.846 nm.What is its de Broglie wavelength?arrow_forward
- What is the de Broglie wavelength for an electron moving at 2.00 x 10^7 m/s?arrow_forwardQ°: The line width of a helium-neon laser is 10° Hz. The operating wavelength is 632.8 mm and the power is 1mW. a. How many photons are emitted per second? b. If the output beam is Imm in diameter, at what temperature would a blackbody have to be in order to emit the same number of photon from an equal area and over the same frequency interval as the laser?arrow_forwardCalculate the de Broglie wavelength for : a. a jogger of mass 77 kg runs with at speed of 4.1 m s1. b. an electron of mass 9.11x10-31 kg moving at 3.25x105 m s1 (Given the Planck's constant, h =6.63x1034J s)arrow_forward
- What is the wavelength (in nm) of a photon with momentum 1.93 x 1027 kg m/s?arrow_forwardSuppose a photon has a momentum of 5.4 × 10-29 kg⋅m/s. A. What is the wavelength of such a photon in micrometers? B. Find its energy in electron volts.arrow_forwardA dust particle of 1.0 μm diameter and 10−15 kg mass is confined within a narrow box of 10.0 μm length. Planck’s constant is 6.626 × 10−34 J ∙ s. What is the range of possible velocities for this particle? What is the range of possible velocities for an electron confined to a region roughly the size of a hydrogen atom?arrow_forward
- The de Broglie wavelength (in nanometer) for an electron moving with 5.739 x 10“ m/s is:arrow_forwarda. What is the speed of an electron with a de Broglie wavelength of 0.20 nm?b. What is the speed of a proton with a de Broglie wavelength of 0.20 nm?arrow_forwardA neutron of mass 1.675 × 10-27 kg has a de Broglie wavelength of 7.8x10-12 m. What is the kinetic energy (in eV) of this non-relativistic neutron? Please give your answer with two decimal places. 1 eV = 1.60 × 10-19 J, h = 6.626 × 10-34 J ∙ s.arrow_forward
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